Inspired from three iconic styles — the Air Presto, Air Max 90, and Air Current.
LunarCharge features a comfortable neoprene boot construction.
Laser-siped cushioned rubber outsole for traction and durability.
LunarEpic cushioning system for added comfort in the midsole.


compared latency between ENet and TCP, so I can't say for sure.
is what it's designed for.
> few bytes, but still mostly reliable packets with hopefully low latency.
> objects to sync. Is enet suitable for this or not?
> you start pretend its TCP with multiple clients.
>>what already might meant to be there.
>>reliable on a 100MBit lan transferes the data at something around 6MB/s.


I want to alert you to a rather unusual event occurring this evening.
Many of you already know about the triple shadow transit of Jupiter's moons Io, Europa and Callisto. That's scheduled for late tonight.
Earlier, around nightfall, the crescent moon will lie 1° or less to the south-southwest of comet 15P/Finlay. No doubt lunar glare will hamper the view some, but what a fun opportunity to use the moon to find a comet.
Finlay underwent a flare in brightness last week when it became easily visible in binoculars.
Though a crescent moon isn't what you'd call a glare bomb, I can't predict for certain whether you'll still see the comet in binoculars tonight or need a small telescope instead. Most likely a scope. Finlay has faded some since its outburst and now glows around magnitude +8.5.
You can try with a 10×50 or larger glass, and if you don't succeed, whip out your telescope; a 4.5-inch or larger instrument should handle the job.
Just point it at the moon at star-hop a little to the north-northeast using the map until you see a fuzzy spot with a brighter center. That's your comet. The tail won't be visible unless you're using more firepower, something closer to 10-inches.
By the way, the father south you live, the closer the moon approaches Finlay. From the far southern U.S. they'll be just 1/2° apart. Keep going south and parts of Central and South America will actually see the earth-lit edge of moon approach and then occult the comet from view!
UPDATE: Although light clouds marred the view I had difficulty finding the comet this evening in my 10-inch scope. It's possible it's further faded or my conditions weren't optimal or both. No luck BTW in binoculars.


BlogAre you allowed to drive if you use CBD (and is it wise)?
Are you allowed to drive if you use CBD (and is it wise)?
Are you a fan of CBD and wonder if it's safe to drive while using it? In other words: do you want to know if you're allowed to participate in traffic if you use CBD? Then do read on! Please note though: the legal information in this article only concerns the situation in the Netherlands.
Nowadays CBD products are very much in the spotlight. This isn't surprising, since many people use CBD oil or other products containing CBD on a daily basis. Most CBD products contain a very small percentage of THC. The effect of this is negligible: not enough to get stoned, at least. But now that the police uses the saliva test in the Netherlands, it could just happen that they find THC in your saliva, right? That could undoubtedly cause problems, so it's a very justified question. So, what's the deal? Can you drive if you've taken CBD? What happens if the police detects THC in your saliva? And is it wise to drive with CBD? Below you'll find extensive answers to these questions.
Yes! You are allowed to drive with CBD. Even if you use CBD with a small percentage of THC. The evidence is in the Dutch law: the Alcohol, Drugs and Drugs Decree in traffic. This law sets a limit value to THC. All other cannabinoids, such as CBD, are not mentioned and are therefore legal to use in traffic.
The limit value of the concentration of THC in your blood is set at 3.0 micrograms per litre. When you use a CBD product, you'll never reach that limit. The concentration of THC in CBD products is simply too low. However, you must be careful with other cannabis products. If you like to smoke joints or use THC oil, you can exceed that limit because these cannabis products contain a lot of THC. For this reason, it's also important to buy your CBD products only from reliable stores. Then you know for sure that it really is CBD and not another product with a lot of THC.
The saliva tests that have been introduced react to very small amounts of THC. To be precise, the device already detects the THC at 15 nanograms (0.00000015 grams). This can lead to unpleasant situations. Because if the device detects THC, you have to go to the police station for a blood test. Fortunately, you don't have to fear that you'll easily end up at the police station. According to the police, the saliva test is only used in case of serious suspicion of drug use. So if you only use CBD, the chance is very small that such a situation occurs.
Are you being taken for a blood test? If you only use CBD products, then you're safe. Because, as explained, you will only violate the law if they find more than 0.3 micrograms of THC per litre of blood. And you'll never reach that if you only use CBD products. Nevertheless, it's an unpleasant situation. But what if you also used products with a high THC content? Yes, then you might get busted. Even if it has been a long time since you used THC. THC piles up in fatty tissues, making it possible that the amount of THC in your blood rises. If you have used cannabis with a lot of THC daily or frequently, you can still have too much THC in your blood after a month. Therefore, there's a lot of criticism of this current policy.
Besides the fact that you're allowed to drive with CBD, it's also not unwise. CBD in no way affects your ability to safely participate in traffic. It has zero influence on your alertness, energy or judgment. So it's as if you're sober. In fact, you ARE sober. The small amount of THC in some CBD products is really totally negligible. You'll never get stoned and it has no other (negative) effects that affect your driving skills.
Again: if you use cannabis products that do have a high THC content, this can negatively affect your ability to drive. So be careful with weed or hash and THC oil. And besides, as you have read before, this can be punishable. With this type of cannabis products you easily exceed the limit value THC that has been established in the law.


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The Most Highly Decorated Spy
A TALE OF TWO ALLITERATORS: Flaubert, Trevor, and the Lost Art of Beautiful Prose
The Most Romantic Scene of WWII
The Bunker of Ravensbrück
The Film That Brought Out the King and Queen of England
"Vilma tells you yes."
Gone in the Wind
Capturing History's Greatest Spy-catcher
DOUBLE DUTY: Duping the Enemy with Double Doubles
ON THIS DAY 1946, SOE agent Odette Sansom became the first woman to lead an investiture at Buckingham Palace, and the first to receive a George Cross from the king himself. She would become the most highly decorated woman, and spy, of World War II. Here's why:
Get the entire story in my nonfiction spy thriller, CODE NAME: LISE—The True Story of the Woman Who Became WWII's Most Highly Decorated Spy (Gallery/Simon & Schuster, Jan. 15, 2019), available now for pre-order at Amazon, Barnes & Noble, Books-A-Million, and other online retail outlets.
Dusko Popov
Guy Liddell
Hugo Bleicher
IanFleming
Into the Lion's Mouth
JamesBond
Operation Grand Duke

redpajama_set_name: RedPajamaCommonCrawl


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White House says Russia's ban on US agricultural imports will isolate Russia, hurt its economy
The Associated Press August 6, 2014
WASHINGTON – The White House says Russia's reported move to ban agricultural imports from the U.S. will only deepen Russia's isolation from the international community.
White House spokeswoman Laura Lucas Magnuson says retaliating against Western companies or countries over sanctions the U.S. has imposed will cause further damage to Russia's economy.
She's pointing out that Russia's central bank has said banning imported food would boost inflation and erode Russian citizens' purchasing power.
Russian state news agency RIA Novosti is quoting a Russian official as saying all agricultural products produced in the U.S. won't be allowed into Russia.
According to USDA's Foreign Agricultural Service, U.S. exporters shipped $1.3 billion worth of food and agricultural products in 2013.
Magnuson says the U.S. is calling on Russia once again to de-escalate the conflict in Ukraine.


system, was released to 1,500 test sites worldwide.
logo they want to send a message to, followed by the message to send.
to go before final release, say beta testers of the product.
loud.  Let me control the sweater."
Trenchant, and Blunt Computer Services.
out of my mind. That blows my productivity right out of the water,"
Excel scares the crap out of me."
Microsoft QA engineers are expected to lead long, productive lives.


Bicycling is South Africa's leading cycling magazine and is aimed at both road and mountain biking enthusiasts. Launched in February 2003, it is published 10 times a year, targeting the fast-growing and affluent lifestyle cycling market – youngsters, adults, professional as well as casual cyclists. The magazine is filled with the best international and local content for every element of the cyclist's life from training techniques and fitness information to inspiring human interest stories, event news, nutrition and motivation. Bicycling is also South Africa's leading tester of bikes and gear with over 30% of the monthly magazine dedicated to the latest reviews so our readers can make the best choices.
Magazine covers are used for illustrative purposes only and you may not receive a copy of the particular issue depicted. Your subscription will include the most recent issue once your subscription begins. Magazine covers are the property of the publisher. This site is not officially affiliated with, associated with, or endorsed by Bicycling South Africa (Digital) or the publisher.


Mainly clear. Low 46F. Winds light and variable..
Mainly clear. Low 46F. Winds light and variable.
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Do you have a family member's urn at home?


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Phantasy Star Online 2 Will Finally Release in the West
After being announced and put on hiatus, Sega confirmed Phantasy Star Online 2 will release in the west. Sadly, currently only PC and Xbox have been confirmed, with a PlayStation 4, Switch and Vita version existing in Japan, so it's possible it will go either way. In addition to the news,...
Rumor: Metroid Prime Trilogy, The Legend of Zelda: A Link to the Past and Persona 5 are Coming to Switch
For a while Metroid Prime Trilogy and Persona 5 have had a number of rumors suggesting both would eventually land on Switch, with the latest coming from Best Buy. According to Best Buy's CoreBlue, a number of new SKUs were added to the system. These include, but at not limited to, Metroid Prime...
Best Buy Advertisement Potentially Reveals Joker In-Game Render for Super Smash Bros. Ultimate
Since Joker was revealed as the first fighters pass character in Super Smash Bros. Ultimate, there has been a fair amount of secrecy. To the point where we haven't seen how he looks in-game yet, though Best Buy might have revealed that for us. Based off the advertisement above, it seems Joker...
Kaz Hirai has Decided to Retire from Sony
Last year Kaz Hirai announced he was stepping down as CEO of Sony and now he is retiring from Sony on June 18, 2019. Since passing the baton of CEO to Yoshida-san last April, as Chairman of Sony, I have had the opportunity to both ensure a smooth transition and provide support to Sony's...
PlayStation Plus Games Revealed for April 2019
Now that we're at the second month following the removal of PlayStation 3 and Vita titles, we can better gauge what to expect from the program going forward. While there is no denying the games are at a slightly higher quality, at least in terms of original MSRP, it does not bode well for the...
No Man's Sky: Beyond Update Includes PlayStation VR Support
Even though a lot of negative things have been said about No Man's Sky, Hello Games has been working hard at making it everything players expected it to be at launch. Among the various improves in the Beyond update, Hello Games is adding PlayStation VR...
This Week's New Releases 1/13 – 1/19; Travis Strikes Again: No More Heroes, Onimusha: Warlords and More
With the end of the year behind us, gamers are looking forward to what 2019 has to offer. Last week we saw Super Mario Bros. U Deluxe release, along with the highly anticipated re-release of Tales of Vesperia: Definitive Edition, but gamers want new things. While this week doesn't have too many...
Marvel's Spider-Man: Silver Lining Review
Following two underwhelming episodes, Marvel's Spider-Man's Silver Lining DLC finishes the Hammerhead saga. With the potential for something better off the table, it all falls on this episode to bring it home. Naturally, there is no Silver Lining to this expansion, if anything it just further...
Atelier Arland Series Deluxe Pack Review
When it comes to RPGs there are a lot of assumptions. Typically, these are grind heavy games about fighting monsters to progress and defeat or accomplish some greater goal. This is largely true for the Atelier series, though it's much more about the journey and the simplicities of life, than a...
This Week's New Releases 12/9 – 12/15; Gungrave VR, Borderlands 2 VR, Prey: Typhon Hunter, Night Trap and More
Last week marked the end of this year's most exciting titles, though that doesn't mean there is nothing worthwhile left in 2018. Leading this week is the surprise release of Borderlands 2 VR, as well as Gungrave VR. Both titles are sure to give new and existing owners something to look forward to....
This Week's New Releases 12/2 - 12/8; Super Smash Bros. Ultimate, Persona Dancing and Plenty of Other Things
With Black Friday behind us, this week starts the final month off with a bang. Easily the biggest game this week and honestly this month is Super Smash Bros. Ultimate. With many never having a chance to experience Super Smash Bros. for Wii U or even the less impressive 3DS version, it makes for...
This Week's New Releases 11/18 - 11/24; Battlefield V, Spider-Man DLC, Bendy and the Ink Machine and More
With Thanksgiving and Black Friday occurring this week, there aren't many releases of note. Despite that, players can check out Battlefield V, the next chapter in the Spider-Man DLC trilogy, work out with Beat Saber and more. Similar to Fallout 76, there was a lot of mixed reactions in regards...
Rumor: Microsoft is Considering a Disc-less Xbox One
As the next-generation of games fast approaches, it looks like Microsoft is testing the waters on a new, disc-less, version of the Xbox One. According to Thurrott, the system is expected to launch spring 2019, though that may change, and could result in a price reduction of $100 or less. The...
This Week's New Releases 11/11 – 11/17; Fallout 76, Battlefield V, Pokemon Switch and More
While this week doesn't have many releases, the few we do have are of a much higher quality than we normally see, with each platform having something big and exciting to see. PlayStation 4 and Xbox One owners will finally get a chance to experience Fallout 76 and Battlefield V, with Switch getting...
This Week's New Releases 11/4 – 11/10; Omen of Sorrow, World of Final Fantasy Maxima, Tetris Effect and More
With publishers getting ready for the holiday season and most people still playing Red Dead Redemption 2, we have another rather light week. Headlining this week is Omen of Sorrow, World of Final Fantasy Maxima, Tetris Effect and a couple surprising Switch titles. First up is Omen of Sorrow, a...
Monster Hunter: World - Weapon Stat Guide
Monster Hunter: World's weapon system is confusing, in that there has to be a reason for the other options, even if that reason isn't obvious. As you progress this reason might not become apparent, though there is without question a reason to bother with other weapons. Which weapon is right...
The Elder Scrolls Online: Morrowind Review
When The Elder Scrolls Online: Morrowind was announced, it was met with mixed reactions. Regardless of how exciting Morrowind is, the choice to charge outside of ESO+ program put some people off and brought into question how much content is there. Between large locations, new trials and dungeons,...
Momodora: Reverie Under the Moonlight Review
Thanks to indies, a lot of smaller genres are finding new life. These range from puzzles to point and click. Among the most exciting is metroidvania. By combining action platforming with puzzles and backtracking, they tend to offer an enjoyable experience. With these things in mind, Momodora:...
The Legend of Zelda: Breath of the Wild Review
Hype can be a powerful thing. In the case of No Man's Sky, it worked against it, where as Horizon Zero Dawn benefited from it. After probably being the most anticipated Wii U title, The Legend of Zelda: Breath of the Wild is finally out on the Nintendo Switch and Wii U consoles. With a large open...
Paper Mario: Color Splash Review
Over the years Nintendo has come up with a number of interesting concepts to go along with innovative or at least different games. Paper Mario has always offered a different take on Mario games, along with some interesting visuals. Much to the series credit, the paper aspect is less of a gimmick...
Deadlight Director's Cut Review
The survival horror genre has changed a bit over the years. In the past it was little more than a scary game with finite resources, where as today it has evolved to include all types of scenarios. In the case of Deadlight Director's Cut, it's a chance to change/enhanced the classic platformer...
Resistance 3 Video Review
To accompany our written review of Insomniac Game's Resistance, we present to you our video review of the game.
Portal 2 Event Cancelled for E3? New Surprises Awaits
Valve have announced today the gala cancellation of the June 14th Portal 2 event at the Regal Theater.
Alpha Protocol Now Available in North America
Sega is pleased to announce today that their much anticipated espionage RPG, Alpha Protocol on the Xbox 360, PlayStation 3 and Windows PC, is now available in North America.
This Week's New Releases 7/14 – 7/20; Marvel's Ultimate Alliance 3: The Black Order and More


5 inch 720p TrueColor IPS LCD screen for the Nokia Lumia 830 smartphone.
Motherboard for the Nokia Lumia 830 smartphone.
The Nokia Lumia 830 was released October 2014 and the Windows Phone 8.1 operating system. It features a Qualcomm Snapdragon 400 MSM8926 SoC with a 1.2 GHz quad-core ARM Cortex-A7 CPU and a Qualcomm Adreno 305 GPU. The phone's 5.0" display has a resolution of 1280x720 and is protected by curved Gorilla Glass 3. The 10 MP PureView rear camera has an optically stabilized Carl Zeiss 6-element lens with an f/2.2 aperture. The Lumia 830 includes 1 GB of RAM and 16 GB of internal storage (expandable with MicroSD cards up to 128 GB).


नाम : मलिया मियाना जं.
मलिया मियाना जं. Railway station is situated in Malia, Gujarat. Station code of मलिया मियाना जं. is MALB. Here are some trains that are passing through मलिया मियाना जं. railway station like Ala Hazrat Exp, Ala Hazrat Exp, Kamakhya Express, Kyq Gimb Express, Nagercoil Exp, Gandhidham Exp, Vskp Gimb Exp, and many more.


Before diving into the specific benefits of heirloom seeds and plants, it is important to understand a few relevant definitions.
There is a myriad of benefits that flow from planting traditional heirloom seeds as opposed to modified or hybrid varieties. Just a few of these benefits follow.
4. Choice. Instead of allowing a huge industrial agriculture company to choose which traits and values your crops should ideally have, you get to pick out next year's crop yourself. Does one tomato plant have particularly juicy fruit and is especially hardy - you can choose to save that strong strain for future use. On the other hand, genetic modification implies no control for the grower. You simply must grow what the scientists choose to create in the lab.
(Source: University of Illinois at Urbana-Champaign).
Crops are often genetically engineered to become herbicide resistant, resistant to a certain pest, to ripen at unnatural times, to boost nutritional value, or for a variety of other purposes. While these new characteristics may be handy, we could be paying the price for this all-too-convenient modification.
In order to produce the desired qualities in a crop, the species' DNA is oftentimes combines with that of another species (sometimes from a different kingdom altogether) - e.g. bacteria or fish DNA combined with plant DNA. One potential hazard of this is a posed allergy risk. For example, if someone has an allergic reaction to fish and that fish DNA is incorporated into a vegetable, they could potentially have an allergic reaction to that food without any precautions. There are filters in the bureaucratic system to help prevent this from happening, but it is still a risk.
While there is some testing, there seems to be little regard in large corporations and institutions for these risks, however, and genetic modification is consistently touted as the next best revolution in agriculture.
Another factor to consider is that food from genetically modified organisms have not been on the market for that long (almost 20 years); therefore, the long-range effects of consuming this food are essentially unknown. Thus, in effect, we are the guinea pigs in one big nationwide - worldwide - experiment.
The Human Genome Project admits that one danger of genetic modification is cross-pollination between GMO crops and other plants, which will reduce biodiversity.
Also, cross-pollination between heirloom crops and GMO crops poses a threat to small, organic farming in general. If a crop, such as soybeans, is almost 100% genetically modified and is cross-pollinating with the diminishing heirloom population, natural heirloom varieties could completely vanish not only from the large agricultural scheme but also from the small-time gardening scheme. All growers, hobby-gardener and hundred acre gardener alike, could be dependent on huge corporations for getting their seeds (since GMO crops are sterile). Thus, an ultimate monopoly on agricultural life by industrial giants is not unimaginable.
Huge genetically modified monocultures have been blamed for the mysterious disappearance of honeybees across the U.S. and the world, called colony collapse disorder (CCD). In this beekeeping disaster, nearly an entire hive will disappear without a trace.
Although the USDA refutes a connection between genetic modification and CCD based on scientific testing, the issue is still unclear. Such institutions as the University of Florida and University of Illinois recognize the possibility that GM crops and the fact that their seeds are sometimes immersed in pesticides play a part in honeybee disappearances.
While the practical risks of genetic modification have been discussed, ethics plays an equally important role in the minds and hearts of the people. While there have been objections to just about every technological development in history, is genetic modification different? Is the next greatest innovation in modern agriculture an angel or a demon?
Crossing the genes of two completely different species is no doubt an adulteration of the system of nature. Nowhere in nature does the DNA of a fish and a strawberry plant cross. Human beings have "edited" a genetic code that has been working and adapting for millions of years. It is certainly in arrogance that we believe we can genuinely improve a living organism designed by the Creator by tweaking its inherent DNA, yet it is increasingly common. Also unjust is placing a trademark on life, as if we could ever truly own it. Such a scheme almost demands consequences.
However, that is only one side of the coin. While the concept of genetic modification is repulsive to many traditional growers, it does have the potential to benefit people (this is discussed more below). This is the argument of the proponents of genetic modification, i.e. that the benefits far outweigh any little harm this scientific development could cause. Increased crop yields could aide in the fight against world hunger, for example. Thus, to completely eliminate genetic modification could harm humankind more than help us. At the same time, feeding the world through organic agriculture in a more natural manner is entirely feasible as well.
As far as ethics goes, the subjective stance is different from person to person, but, of course, there are more than just ethics at stake here.
The three most commonly genetically engineered crops are soybeans, cotton, and corn (in that order). Below is a graph from the USDA detailing the growth in genetic modification of these crops since 1996.
As you can see, almost all soybean crops in the U.S. today are genetically modified, and cotton and corn are catching up.
Notes: Bt = Bacillus thuringiensis (a type of bacteria combined with the crop to make it produce a pest-repellent toxin as it grows). You can learn more about this from this UT Extension page.
See this page by the Union of Concerned Scientists for a detailed list of the genetically modified foods on store shelves.
Additional nutritional qualities and higher yield can particularly aide malnourished children and adults in developing nations. The University of Florida put forth the example of "Golden Rice," which is richer in Vitamin A and iron. This nutritional benefit could help fight off anemia and blindness in malnourished children.
Other more utilitarian positives include less need for external pesticides (if the pesticides have already been incorporated into the plant's DNA) and more convenient sizing, harvesting, storing, and transporting.
Genetically modified crops and therefore foods are becoming increasingly common in the U.S. and abroad, and it is important that we are aware of its presence, its possible implications, and our position toward it. Whether one stands for or against genetically engineering plants, it is critical that one understand the process.
If you wish to avoid genetically modified crops, the first step you can take is growing your own heirloom plants and saving your own seeds each year. In this way you can both support traditional growing methods and put traditional, all-natural foods on your plate (the grocery store contains plenty of genetically modified foods). You will also help to preserve the long-lasting heritage of heirloom crops in a world of modified crops.
In addition, this page by the Center for Food Safety could be very helpful in learning to avoid genetically modified foods in the grocery store.


Presbyterian College was established as Clinton College in 1880. It changed its name to Presbyterian College in 1890. Phi Delta Tau was organized at Presbyterian College by nine men including D.S. Blankenship, Presbyterian '28 in the Fall of 1926. On May 12, 1928, the group was installed as Eta Chapter of Alpha Kappa Pi by National President Wilson Hall. When chartered, the chapter had nine undergraduate members, six alumni members, and five new members. First meeting rooms were in the Adair Building, 304 W. Main Street. Upon the merger of Alpha Kappa Pi and Alpha Sigma Phi, the chapter was re-designated Alpha Psi. The chapter won seven scholarship awards from the Fraternity in the 1950's and 60's. In 1975 the chapter added a deck to its lodge. Brad Bryant, Presbyterian '73 supervised the undergraduate brothers in constructing the deck. The chapter awards an outstanding senior award, The Geoff Hall Award, named after an Alpha Psi brother who later served as President of the Beta Delta Chapter while a graduate student at Marshall University. The chapter won the Alpha Gamma Upsilon Award for 1995-96.
The chapter newsletter is The Open Book. Evin Varner, Presbyterian '58, served as Grand Senior President of Alpha Sigma Phi from 1984 to 1985, on the Grand Council from 1978 to 1986, and as Editor ofThe Tomahawk from 1974 to 1986. He received the Distinguished Service Award, and after his death it was renamed the Evin C.Varner Jr. Distinguished Service Award in his honor. David S. Blankenship, Presbyterian '28, served as National President of Alpha Kappa Pi and on the Grand Council of Alpha Sigma Phi. Ben Collins, Presbyterian '48, William Prickett, Presbyterian '62, E.G. Lassiter '68, Blankenship, and Varner, have received Delta Beta Xi keys. Other notable alumni include Clarence Hugh Holman '34, author, founding co-editor of the Southern Literary Journal, and former vice president of the National Humanities Center, Captain Charles Brown MacDonald '39, Army veteran of WWII, famed WWII historian, and former Deputy Chief Historian for the US Army, Major General George Lafayette Mabry, Jr. '39, US Army veteran and recipient of the Medal of Honor for valor in WWII, Major General Christian Price Patte '53, former Director of Logistics for NATO and former staff of the Joint Chiefs of Staff, Brigadier General Roscoe Lindsay, Jr. '57, US Army (retired), and William Bradley Bryant '73, attorney and former superintendent of public schools for the state of Georgia (2010-2011).


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The Harold Love Outstanding Community Service Award
Nomination Criteria & Procedure
Community service recognition programs for higher education students and faculty/staff at the campus level were created in Tennessee through legislation enacted by the General Assembly in 1991. In 1997, the awards were named for the late Representative Harold Love, who was instrumental in passing the enabling legislation. The Tennessee Higher Education Commission was given the charge to develop rules and regulations by which to implement these programs for public and private two and four-year institutions. A taskforce of institutional and board representatives is convened each year to review each proposal submitted by the campuses and to select the five student and five faculty/staff recipients. Each recipient will receive a $1000 cash prize.
2020 Harold Love Awards Memo
Love is in the House
Elected to the General Assembly in 1968, Representative Harold Love, Sr., was known for his compassion and good humor. A prominent Nashville insurance salesman, Rep. Love also served on the board of directors for the South Street Center and the Eighteenth Avenue Community Center. He graduated from Tennessee State University and was awarded its Distinguished Alumnus Award.
With the welfare of his community as his primary concern, Rep. Love would go to any lengths to help a constituent in need, even if it meant giving from his own pocket. That is why, whenever he was present during a session of the House of Representatives, it was said, "Love is in the House."
2020 Community Service Taskforce Members
Please check back, soon.
Nominees must be a current student (full-time or part-time) or current faculty/staff member at a Tennessee higher education institution. Nominations will be evaluated using the following criteria:
Lasting/meaningful impact on community 40%
Length and degree of service 20%
Above and beyond the call of duty 20%
Recognized and valued by peers and community leaders 20%
The following steps must be completed to submit a nomination packet:
Fill in the included nomination form , electronically. Altered or institutionally-personalized forms will not be considered.
Compile the requested documentation, to be submitted with the nomination form. When possible, documentation should be submitted in PDF or Microsoft Word format.
Submit all materials as attachments to a single email addressed to Brittany.Mosby@tn.gov using the subject, Student Love Award Nomination Packet for student nominees or Faculty/Staff Love Award Nomination Packet for faculty/staff nominees. Please avoid submitting multiple emails for a single nominee.
Nomination packets are due on or before Wednesday, March 4, 2020 at 4:30 p.m. CDT. Only completed nominations received by the deadline will be considered. Winners will be notified by March 21st If you have further questions about the nomination process, contact Brittany Mosby at 615-253-8874 or Brittany.Mosby@tn.gov.
The individuals selected to receive recognition represent the many dimensions of community service – volunteer work, public service, charitable service and leadership roles in community organizations. They serve as ambassadors for community service among the many diverse higher educational communities in Tennessee.
2020 Nomination Form
2019 Faculty/Staff Recipients:
David McBeth, University of Tennessee Martin
David Ross, University of Tennessee Chattanooga
Dixon Myers, University of the South
Michael Whitelaw, East Tennessee State University
Tammy Garland, University of Tennessee Chattanooga
2019 Student Recipients:
Ariel Kaylor, Maryville College
Jujuan Lewis, University of Tennessee Chattanooga
Sarah Cullen, Belmont University
Gareth Laffely, Middle Tennessee State University
Tere Kangas, Austin Peay State University
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Prize Bond List 7500 Draw Result Quetta on 1st August 2018 The bonus list of the 7500 prize (Table 75) will be declared on August 1, 2018, in Quetta. Rs. 7500 Prize Bond List in full will be available on the date of the draw. The first prize of 7500 bonds is Rs. 15,000,000 2nd Rs. 5,000,000 and 3rd Rs. 93,000 / – according to the notification of the Central National Savings Directorate.
Rs. 7500 Bond Draw Award and Rs. 7500 Prize Bonus Results. Check the schedule of Rs. 7500 Prize bond also read the latest updates and news about National Savings Rs. 7500 Bond Prize. You can search for the winning numbers below or click on the Rs. 7500 Draw the result by date below. The schedule of the next raffles is given on this page.
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How small businesses prepare for the holidays: Field Day & Friends
Designer Trinity Cross started Field Day, a line of women's clothing made from reclaimed fabrics, in January 2005. Eight years later, she opened up Field Day & Friends, a brick-and-mortar in downtown Oakland that sells her clothing along with an expansive array of jewelry, apothecary items, ceramics, and beauty products sourced from independent makers across the United States. We spoke with Trinity about her community-based approach to gearing up for the holidays and the importance of supporting local artists.
How does Field Day prepare for the holidays?
We order a bunch of stock, and we usually have a sale. We stock up on gift items, which are usually things under $40: jewelry and soap, holiday cards, essential oils, herbal products. Easy gift-y things.
Then there's Plaid Friday, an Oakland event held the day after Thanksgiving that showcases small businesses. Sometimes we'll do a little sale party on that day and have hot apple cider and cookies. If there's an event, people will come out, which results in more sales.
We only started celebrating Plaid Friday a couple years ago. It used to be Black Friday, which is also Buy Nothing Day, so we would close the store and let people be at home with their families rather than making them work and buy stuff. But then I realized I was missing out on a lot of money by keeping the shop closed that day, and as a business owner you really have to think about things like that.
Does your inventory change during the holidays?
We have a spring/summer collection and a fall/winter collection, and I usually release them on the equinoxes — in between the season change. In the spring, it's brighter, shorter, and breezier stuff. In the fall, it's more long sleeves and heavier-weight stuff.
What's your best tip for other businesses preparing for the holidays?
Embrace community. Open up your space and welcome new people. You might not get a ton of direct sales from it, but people might come back if they don't buy right then. I find that if people feel at home in a space, and if they feel like it's their space too, then they're way more likely to support it. This is what we try to foster and harbor at Field Day. We want people to feel that they can come in and sample some tinctures to feel a little better about their day. It's really hard times right now, and I feel like we have to come together and support each other.
"If people feel at home in a space, and if they feel like it's their space too, then they're way more likely to support it."
For me, community-building is bringing humanity back to consumerism a little bit — instead of promoting this message of sell, sell, sell, buy, buy, buy. We're so inundated and saturated with that, and I feel like people are really looking for something authentic and with spirit — a more handmaid, cottage experience.
Carrying local designers is another great way to increase sales. Since they're local, they can point out where their stuff is sold, and their friends and family will come in and support you. We also do workshops and classes on occasion. We've done broom making class, herbal oiling class, and a self-care in hard times class.
What are some other ways that Field Day has become a regular fixture in the Oakland community?
For Oakland Art Murmur on the first Friday of every month, we feature a different local artist. We do drinks and snacks and open the shop up in the evening. We have really great neighbors, such as Vamp, a vintage records store. They do a lot of shows, so we make it sort of a block party vibe. We also have cross-traffic with them. People who come into my shop end up going into theirs, and people who go in to their shop end up coming into ours.
What's one of the biggest things you've learned owning a small business?
If you're going to open up a retail shop, it's really important to think about who your neighbors are. There's a lot of crime where we are, and it's really nice to have someone looking out for you and watching your back to make sure you're ok. If something happens, they're there — you're not just on your own.
How to become an iconic brand like Kraft Heinz
How to Build a Brand: A Guide That Actually Works
Why You Should Have an Email Newsletter


In a world of sexual and relational confusion, isn't it time to consult the One who created marriage? The Marriage that Works Truth Cards spotlight the relational lies that can derail us and provide Biblical truth to get us back on track. As you focus on these truths, you'll discover God's plan to help spouses become soul mates. Whether studied alone or as a companion to Chip's book Marriage that Works, this resource reveals how marriage can be more wonderful than you thought possible and unquestionably worth the work.
We created these cards to help you deepen your relationship with your spouse and with God.
You can read them in any order. There is no "right way" to use the cards but here are some suggestions.
Begin by reading the foundational truths together every day for 30 days. Discuss them and pray together.
Next, individually choose four or five cards that grab your interest. Read them daily for a week.
Get together with your spouse and share the cards you chose. Discuss and pray together.


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Good Morning Tapes
Based in the coastal village of Seignosse, France, Good Morning Tapes is a music label and a clothing brand powered by the inspiration and blessings of their contributors. Founded in 2017, DJ and label head Biscuit created Good Morning Tapes as a form of love and appreciation for music and merch. The brand began as a homespun outlet for a wide-ranging and enigmatic source of mixes, cassettes, vinyl and clothing from underground musicians and designers. Plus, their DIY aesthetic has garnered a strong fanbase through an array of idiosyncratic offerings.
Good Morning Tapes at Livestock Canada
In their own words, Good Morning Tapes seeks to pay homage to "Spirit, Gaia or Source" — where creativity begins and extends for all to see. Designs tend to lean into this spiritually-driven aesthetic, where individuals can seek out meaning through creation, music and clothing. Plus, the Seignosse-based company produces limited runs of all their drops, where their apparel releases simultaneously coincide with their musical efforts. Overall, the French brand quite literally — and proverbially — does its own thing and Livestock is all about it.
Good Morning Tapes: Shipping and Delivery
Here at Livestock, we provide the best collection of offerings from Good Morning Tapes to avid streetwear and fashion enthusiasts in Canada. Multiple shipping options are available to choose from, because if you're shopping for Good Morning Tapes in Canada, it should be ready at your fingertips. Whether or not you live outside of our home cities, we'll ship any of Good Morning Tapes' apparel or accessories to you anywhere across the country. FREE delivery with signature for orders over $50 CAD in Canada. Please see the rest of our shipping rates and delivery methods here.


We are proud to announce our new Honours Cap website is now live. It is the world's first e-commerce Honour Cap platform.
The site includes an interactive 3D Cap Designing tool that allows design storage. Once designed sharing is simple, click to email or send a link. Your design can also download as a PDF ready to print or share.
If you have a club badge or logo uploading is easy. Most file types can upload and display on your masterpiece. With over 3000 colour and cap options you can design something for every occasion.
Design your Honours Cap, Graduation Cap, Presentation Cap or Achievement Momento.
The custom products can post to most countries, we even post to Timbuktu!
In the shop you will find our Presentation Cap range along with a range of accessories. If you would like to display your cap in a frame you will receive it mounted with text if required.
We have also introduced a stunning range of Baggy and English Cricket Caps. These are available as templates on the 3D Cap Designer.
We cater for individual purchases and bulk orders from clubs and businesses. Visit www.honourcaps.com and let us know what you think.


On 5th and 6th July 2018, Buzet hosted the sixth meeting of the European Project Life Sec Adapt.
The first day has been dedicated to the Steerring Committee of the project, while the second day partners participated to a roundtable moderated by Mr Kalinsky, Project Team leader of National Croatian Strategy on Climate Adaptation.
Partners presented the state of play of the development of the activity related to local adaptation strategy within their Municipalities, discussing about timing and strategies to deal with the adoption of the Local Climate Adaptation Plan at Municipal level, also on the basis of the most relevant sectors identified within the risk and vulnerability assessment analysis.


A beautiful, welcoming and safe haven in the Middle East, Jordan is awash with culture, Bedouin traditions, hospitality and ancient history. From camping in desert wadis under the stars to wading through watery canyons, to having your breath taken away at Petra, travel in Jordan truly holds something for everyone.
There's also far more to Jordan beyond the wadis and Petra. Here you can read about community tourism in our Jordan blog posts, how to get off the beaten path, and how to find the best options for sustainable travel in Jordan too!


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NOTICE: The entire aeration system at Corstorphine Lake was replaced this season and is online. Restocking with 15 to 16 cm Rainbow trout occurred in May 2016. These fish should weigh over 1 pound today and 2 pounds plus next year.
50º 36.981″ W
100º 12.324″ W
About Corstorphine Lake:
Also known as "fatty fish lake" by the local ice fisherman; a glance at these photos explains this nickname.
Corstorphine underwent the same 2 year evaluation program as do all FLIPPR Lakes. From 2000 to 2003 the water was crystalline in visibility but took up a chocolate coloured stain when the aeration unit was first started until 2011.
This lake has always been a weedy, fertile waterbody with a tremendous forage base consisting mainly of gammarus scuds – unbelievable numbers of scuds. Other food sources are damsel fly nymphs, caddis flies, and stickleback minnows.
Corstorphine was originally stocked in 2007 as a combination species lake – tiger trout and rainbow trout. Manitoba Fisheries Branch staff wanted to see how the two species would respond in this setting. The aeration system failed during the winter of 2008-2009 and the lake winter-killed.
The lake was restocked in 2009 with rainbow fingerlings, as well as some triploid rainbows. This stocking took hold and fish in excess of 26 inches were taken. Tiger trout were not restocked – they didn't compete well with rainbows. We also believe that tigers do not withstand heat stress in the shallow waterbody during our occasionally hot summers.
There are no inlet or outlet streams at Corstorphine – the lake is fed by overland runoff and springs. The Parkland Region was subject to record precipitation; both rain and snowfall, starting in 2011 and culminated in a 4″ rainfall in September 2014. The lake level rose nearly 6 feet and flooded the aeration building. The electric motor and blower assembly were nestled in 18 inches of water.
The aeration shed was replaced on higher ground during the summer of 2015, but FLIPPER and the Municipality of Harrison Park were unable to replace the motor blower assembly until the summer of 2016. Oxygen readings were taken throughout both winters; oxygen levels were sufficient to maintain fish populations without aeration.
The lake has some parking, a launch site and washroom facilities.
Driving Directions from Sandy Lake:
PDF Map Download
Eastern Parkland
FLIPPR, Municipality of Harrison Park, Manitoba Fisheries
Regulations:
No natural bait and no motors, with the exception of electric motors, may be used.
Trout limit is one and all trout over 45 cm must be released
Some parking lot and launch upgrades were completed in 2015.
Note: There is no access to the aerator building - Do not plan to launch there!


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Q: php include not working on mamp The require_once statement in my code is not working on MAMP. The same code was working perfectly on WAMP earlier before I ported the project over.
require_once('class\validate_group.php');

The error I get with this is:
Warning: require_once(class\validate_group.php): failed to open stream: No such file or directory in /Applications/MAMP/htdocs/validate_login.php on line 37

The phpinfo.php is showing the include path as:
.:/Applications/MAMP/htdocs

"class" is a folder inside htdocs
Strangely when I reverse the slash it starts reading the validate_group.php file. Will the reversed slashes still work in AWS where I am finally going to host this?

A: Simple use DIRECTORY_SEPARATOR like below
require_once('class'.DIRECTORY_SEPARATOR .'validate_group.php');

A: To answer your question, backslash in PHP is normally used to escape characters.
So you've escaped the \validate_group.php file in your require_once call.
You can use a pre-defined constant such as:
DIRECTORY_SEPARATOR to avoid this in future.

redpajama_set_name: RedPajamaStackExchange


A foundation laid on strong values and commitment from students and teachers results in consistent achievements. Stonehill International School (SIS), known for its' diverse and inclusive culture, continues to move from strength to strength. With an average of 32.1 points, Stonehill's International Baccalaureate Diploma Programme (IBDP) score remains above the world average, for the sixth consecutive year. Of the graduating Class of 2018, Stonehill's top scorers received an excellent result of 42 out of a maximum score of 45 points.
The IB Diploma (Grade 11 and 12) is a rigorous two-year program designed to prepare students in multidisciplinary approaches to solving problems. It is crafted to be academically challenging, allowing students to acquire a vast breadth and depth of knowledge and understanding; make connections across traditional academic disciplines through in-depth academic research, and strengthens their ability to solve problems and understand concepts. This holistic approach to education helps students enhance their personal and interpersonal development as well.
Students from Stonehill's graduating Class of 2018 have been accepted into prestigious universities across the world.
"Being a student at Stonehill provided me with the perfect environment to learn. I had the freedom and the space to follow my intuition, along with the necessary and strong support from teachers to fall back on when I needed guidance. These two elements made my experience in Stonehill a very valuable one – one I'll remember forever." says Vinicius, another top scorer.
Accreditation: Stonehill is one of the very few schools in the country that is jointly accredited by the Council of International Schools (CIS), New England Association of Schools and Colleges (NEASC) and the IB (International Baccalaureate) which ensures that the guiding statements of the school, student's learning and well-being, governance, leadership and staffing policies and practices are benchmarked to some of the best schools around the world.
after a long time saw you. Love reading your posts.


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Q: Binding functions with parameter in for loop - Python Is there a way I can bind a function with parameter to menu items in 'for loop'?
for idx, val in enumerate(files):
    self.Bind(wx.EVT_MENU, lambda event: self.loadFile(val), id=100+idx)

The above code always passes the last 'val' of the loop to the function for all binds.


The year 2013 is winding down and Ubar Grotto is a just a little over two years old. As a Grotto, we've come a long way in that time. However, any fraternal organization is really just a conglomeration of people; it's the people that make up the organization, give it direction, and bring it to life. Understanding who we are is a key step to continuing our growth. As we finish this year, let's take a look at the numbers and discover just who the men of Ubar are.
In the first 30 months of operation, Ubar Grotto has counted 107 men as members. Some of those have demitted. Four were suspended for non-payment dues and unfortunately two have passed away. After subtracting those, our final membership count, as of December 9, 2013, is 90. All the statistics presented use those 90 members for calculation.
The average age of a member of Ubar Grotto is just under 47 years old. Our youngest member is 21, while our oldest is 77.
Ubarians hail from eight different counties within the Commonwealth of Pennsylvania. We also have one member residing in the District of Columbia.
The members of Ubar represent 38 different Masonic Lodges, located in ten different Masonic Districts. The average Ubarian has been a Mason for just a little under 13 years. The Grotto tops out with a 41 year member of Freemasonry, while some of the guys have been members of the craft for less than 12 months. 35% of the members of Ubar are Past Masters. Six Ubarians are also 33rd Degree Masons.


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\section*{Abstract}
According to some generalized correspondence principle the classical limit of a non-Hermitian Quantum theory describing quantum degrees of freedom is expected to be well known classical mechanics of classical degrees of freedom in the complex phase space, i.e., some phase space spanned by complex-valued space and momentum coordinates. As special relativity has been developed by Einstein merely for real-valued space-time and four-momentum we will try to understand how special relativity and covariance can be extended to complex-valued space-time and four-momentum. Our considerations will lead us not only to some unconventional derivation of Lorentz transformations for complex-valued velocities, yet also to the non-Hermitian Klein-Gordon and Dirac equations which are to lay the foundations of a non-Hermitian quantum theory.

\newpage

\section{Introduction \label{I} }
As pointed out at various places (see e.g.\
\cite{Kleefeld:2006bp,Kleefeld:2004jb,Kleefeld:2003dx,Kleefeld:2003zj,Kleefeld:2002gw,Kleefeld:2002au,Kleefeld:2001xd,Kleefeld:1999th,Kleefeld:1998dg,Kleefeld:1998yj} and references therein) a simultaneous causal, local, analytic and covariant formulation of physical laws requires a non-Hermitian extension of quantum theory, i.e. quantum mechanics and quantum field theory.
Since causality expressed in quantum theory by the time-ordering operation is inferring some small negative imaginary part in self-energies appearing in causal propagators which may be represented by some (in most cases infinitesimal) negative imaginary part in particle masses, even field operators representing electrically neutral causal particles have to be considered non-Hermitian. This leads to the fact that their creation and annihilation operators are not Hermitian conjugate to each other.  During the attempt to find some spacial representation of non-Hermitian creation and annihilation operators which preserves analyticity and covariance it has turned out that aforementioned non-Hermitian causal field operators are functions of the complex spacial variable $z$ instead of merlely the real spacial variable $x$, while anticausal field operators are functions of the the complex conjugate spacial variable $z^\ast$. Consequently a causal, local, analytic and covariant formulation of the laws of nature separates into some holomorphic causal sector and some antiholomorphic anticausal sector which must not interact on the level of causal and anticausal field-operators in the spacial respresentation.

At least since Gregor Wentzel \cite{Wentzel:1926xy} (1926) there exists a formalism (see also \cite{Yang:2005ub,John:2001zc,Faraggi:1998pd,Leacock:1983zz,Bender:1977dr,Dawydow:1973,Dunham:1932xy}) called nowadays e.g.\ ``Quantum-Hamilton-Jacobi Theory" (QHJT) or ``Modified de Broglie-Bohm Approach" which relates a field or wave function by some correspondence principle (see e.g.\ our Eqs. (\ref{corry})) to the trajectories of some ``quantum particle" in the whole complex phase space. Wentzel's approach has been recently even fortified by A.\ Voros \cite{Voros:2012se} (2012) by providing some ``exact WKB method" allowing to solve the Schr\"odinger equation for arbitrary polynomial potentials simultaneously in the whole complex $z$-plane. Moreover there exists  a rapidly increasing interest \cite{PTconferences} of many theoretical and experimental researchers to study solutions of the Schr\"odinger equation even for non-Hermitian Hamiltonians in the whole complex plane due to a meanwhile confirmed conjecture of D.~Bessis (and J.\ Zinn-Justin) in 1992 on the reality and positivity of spectra for manifestly non-Hermitian Hamiltonians which was related by C.M. Bender and S. Boettcher in 1997 \cite{Bender:1998ke} to the PT-symmetry \cite{Bender:2007nj}
 of these Hamiltonians.

Despite this enormous amount of activities to ``make sense of non-Hermitian Hamiltonians" \cite{Bender:2007nj,Bender:2009wx} and the fact that we had managed \cite{Kleefeld:2002au} to construct even a Lorentz-boost for complex-mass fields required to formulate non-Hermitian spinors and Dirac-equations there has remained to our understanding one crucial point neglected and unclear which is is in the spirit of the QHJT and which will be the focus of the presented results: {\em How does the general concept of ``covariance" extend to complex phase space which has been formulated by Albert Einstein (1905)} \cite{Einstein:1905ve} {\em and collegues (see also} \cite{Pais2000,History2012}) {\em merely for a phase-space in which the spacial and momentum coordinates are considered to be real-valued?} An answer will be given to some extent in the follwoing text.
Certainly one might argue that there exist already approaches like e.g.\ \cite{Nakanishi:1972wx,Nakanishi:1972pt,Lee:1970iw,Mostafazadeh:2006fz,Bender:2011ke} which refer to seemingly covariant equations within a non-Hermitian framework. It turns nonetheless out that in all of the approaches there remain open questions to the reader in how far these equations are consistent with some of the aspects causality, locality or analyticity and in how far the four vectors formed by space-time and momentum-energy coordinates contained in these equations will transform consistently under Lorentz transformations as it seems at the first sight (e.g.\ \cite{Nakanishi:1971jj,Gleeson:1972xj}) completely puzzling how to extend the framework of an inertial frame to the complex plane.

\section{Space-time covariance for complex-valued velocities}

The purpose of this section is the derivation of generalized Lorentz-Larmor-FitzGerald-Voigt (LLFV) \cite{Lorentz:1899xy,Poincare:1905xy} transformations\footnote{Major steps in the LLFV-history: stepwise derivation of the transformations by Voigt (1887), FitzGerald (1889), Lorentz (1895, 1899, 1904), Larmor (1897, 1900); formalistic progress afterwards: Poincar\'{e} (1900, 1905) (discovery of Lorentz-group properties and some invariants), Einstein (1905) (derivation of LLFV transformations from first principles), Minkowski (1907-1908) (geometric interpretation of LLFV transformations).} relating the space-time coordinates $\vec{z},t$ and $\vec{z}^{\,\prime},t^\prime$ of two inertial frames ${\cal S}$ and ${\cal S^\prime}$, respectively, which move with some constant 3-dimensional complex-valued relative velocity $\vec{v}\in \mathbb{C}\times \mathbb{C}\times\mathbb{C}$. While the 3-dimensional space vectors $\vec{z}$ and $\vec{z}^{\,\prime}$ are assumed to be complex-valued, i.e.\  $\vec{z},\vec{z}^{\,\prime}\in \mathbb{C}\times \mathbb{C}\times\mathbb{C}$, our derivation will display how the preferably real-valued time coordinates $t$ and $t^\prime$ will be complexified.

Without loss of generality we will constrain ourselves throughout the derivation to one complex-valued spacial dimension while the generalization to three complex-valued spacial dimensions appears straight forward. Hence we consider in what follows for simplicity  generalized LLFV transformations relating space-time coordinates $z,t$ and $z^\prime,t^\prime$  (with $z,z^\prime\in \mathbb{C}$) of two inertial frames ${\cal S}$ and ${\cal S^\prime}$, respectively, moving with some constant one-dimensional complex-valued relative velocity $v\in \mathbb{C}$.

According to the standard definition an inertial frame in the absence of gravitation is a system in which the first law of Newton holds. For our purposes we will rephrase this definition in a way which may be used even in some complexified space-time:

{\em An inertial frame in the absence of gravitation is a system whose trajectory in (even complexified) space-time is a straight line.}

Our definition of inertial frames implies directly that generalized LLFV transformations relating inertial frames must be {\em linear}. Making use of this observation we can write down --- as a first step in our derivation --- the following linear ansatz for the  generalized LLFV transformations between the inertial frames ${\cal S}$ and ${\cal S^\prime}$:
\begin{eqnarray} z^\prime & = & \gamma \cdot z + \delta \cdot t + \varepsilon \, , \label{step1a} \\
t^\prime & = & \kappa \cdot z + \mu \cdot t + \nu \, . \label{step1b}
\end{eqnarray}
Here $\gamma$, $\delta$, $\varepsilon$, $\kappa$, $\mu$, $\nu$ are yet unspecified eventually complex-valued constants.

In a second step we will perform --- without loss of generality --- a synchronization of the inertial frames ${\cal S}$ and ${\cal S^\prime}$ by imposing the following condition:
\begin{eqnarray} (z,t)=(0,0) & \Leftrightarrow & (z^\prime,t^\prime)=(0,0) \, .
\end{eqnarray}
Obviously the synchronisation yields $\varepsilon=\nu=0$. Inserting this result in Eqs. (\ref{step1a}) and (\ref{step1b}) leads to the following equations:
\begin{eqnarray} z^\prime & = & \gamma \cdot z + \delta \cdot t \quad = \quad \gamma \left(  z + \frac{\delta}{\gamma} \cdot t \right)  \, , \label{step2a} \\
t^\prime & = & \kappa \cdot z + \mu \cdot t \, . \label{step2b}
\end{eqnarray}
In the 3rd step we  use of the relative complex-valued velocity between inertial frames  ${\cal S}$ and ${\cal S^\prime}$: the spacial orgin $z^\prime = \gamma \cdot z + \delta \cdot t = 0$ of  ${\cal S^\prime}$ moves in  ${\cal S}$ with constant complex-valued velocity $v\equiv z/t = - \delta/ \gamma$ yielding for Eq. (\ref{step2a}):
\begin{eqnarray} z^\prime & = & \gamma \,  (  z - v \cdot t )  \quad \mbox{with} \quad \gamma = \gamma(v) \, . \label{step3a}
\end{eqnarray}
In writing $\gamma = \gamma(v)$ we point out that the constant $\gamma$ could be a function of the complex-valued velocity $v$.

The fourth step is the application of the principle of relativity which states that --- in the absence of gravity --- {\em there does not exist any preferred inertial frame of reference implying in particular that the laws of physics take the same mathematical form in all inertial frames}. It provides an essentially unique prescription of how to construct inverse generalized LLFV transformations: interchange the space-time coordinates $z,t$ and $z^\prime, t^\prime$, respectively, and replace the complex-valued velocity $v$ by $-v$. As a consequence we obtain for the corresponding ``inverse" of Eq.\  (\ref{step3a}):
\begin{eqnarray} z & = & \overline{\gamma} \,  \left(  z^\prime + v \cdot t^\prime \, \right)  \quad \mbox{with} \quad \overline{\gamma} \equiv \gamma(-v) \, . \label{step4a}
\end{eqnarray}
In order to determine the yet unknown eventually complex-valued constants $\kappa$ and $\mu$ in Eq.\ (\ref{step2a}) we solve Eq.\ (\ref{step4a}) for $t^\prime$ and apply to the result the identity Eq.\ (\ref{step3a}), i.e.:
\begin{eqnarray} t^\prime & = & \frac{1}{v} \left( \frac{z}{\overline{\gamma}} - z^\prime \right) \quad = \quad  \frac{1}{v} \left( \frac{z}{\overline{\gamma}} -  \gamma \,  (  z - v \cdot t ) \right)
\end{eqnarray}
or --- after some rearrangement ---
\begin{eqnarray} t^\prime & = & \gamma \,  \left(  t - \frac{1}{v} \left(1 - \frac{1}{\gamma \,\overline{\gamma}} \right) \! z \right)  \, . \label{step4b}
\end{eqnarray}
Comparison of Eq.\ (\ref{step4b}) with Eq.\ (\ref{step2b}) yields $\kappa = - \frac{\gamma}{v}\left(1 - \frac{1}{\gamma \,\overline{\gamma}} \right)$ and $\mu = \gamma$. By the same procedure leading from Eq.\ (\ref{step3a}) to Eq.\ (\ref{step4a}) the principle of relativity can be used to obtain the corresponding ``inverse" of Eq.\  (\ref{step4b}), i.e.:
\begin{eqnarray} t & = & \overline{\gamma} \,  \left(  t^\prime + \frac{1}{v} \left(1 - \frac{1}{\overline{\gamma}\,\gamma} \right) \! z^\prime \right)  \, . \label{step4c}
\end{eqnarray}
Hence, the previous considerations result in the following four identities (with $\gamma \equiv \gamma (v)$, $\overline{\gamma} \equiv \gamma (-v)$):
\begin{eqnarray} z^\prime & = & \gamma \,  (  z - v \cdot t )  \, , \label{step4aa} \\[1mm]
 t^\prime & = & \gamma \,  \left(  t - \frac{1}{v} \left(1 - \frac{1}{\gamma \,\overline{\gamma}} \right) \! z \right)  \, , \label{step4bb} \\[3mm]
 z & = & \overline{\gamma} \,  \left(  z^\prime + v \cdot t^\prime \, \right) \, , \label{step4aaa} \\[1mm]
 t & = & \overline{\gamma} \,  \left(  t^\prime + \frac{1}{v}\left(1 - \frac{1}{\overline{\gamma}\,\gamma} \right) \! z^\prime \right)  \, . \label{step4bbb}
\end{eqnarray}
In dividing Eq.\ (\ref{step4aa}) by Eq.\ (\ref{step4bb}) and  Eq.\ (\ref{step4aaa}) by Eq.\ (\ref{step4bbb}) we obtain a generalized velocity addition law Eq.\ (\ref{step4cc}) and its inverse Eq.\ (\ref{step4dd}), respectively, i.e.:
\begin{eqnarray} \frac{z^\prime}{t^\prime} & = & \frac{ \displaystyle \frac{z}{t}- v}{\displaystyle 1 - \frac{1}{v} \left(1 - \frac{1}{\gamma \,\overline{\gamma}} \right) \! \frac{z}{t}}  \, , \label{step4cc} \\
 \frac{z}{t} & = & \frac{ \displaystyle \frac{z^\prime}{t^\prime}+ v}{\displaystyle 1 + \frac{1}{v} \left(1 - \frac{1}{\overline{\gamma}\,\gamma} \right) \! \frac{z^\prime}{t^\prime}}  \, . \label{step4dd}
\end{eqnarray}

A final fifth step makes use of the principle of constancy inferred by Albert Einstein stating that {\em light in vacuum is propagating in all inertial frames with the same speed independent of the movement of the light source and the propagation direction.} For our purposes we will generalize and simplify this principle of constancy by simply claiming that {\em the velocity addition law and its inverse possess an eventually complex-valued fixed point $c$ whose modulous $|c|$ coincides with the vacuum speed of light}. Or, in other words: {\em there exists some eventually complex-valued velocity $c$ which is not modified by the application of  the velocity addition law and its inverse while the modulous  $|c|$ coincides with the vacuum speed of light.} Application of this generalized principle of constancy to the addition laws Eq.\ (\ref{step4cc}) and Eq.\ (\ref{step4dd}) yields the following identity Eq.\ (\ref{step5a}):
\begin{eqnarray} c \; = \; \frac{ \displaystyle c\mp v}{\displaystyle 1 \mp \frac{1}{v} \left(1 - \frac{1}{\gamma \,\overline{\gamma}} \right) \! c} \quad & \Longrightarrow &  \quad \gamma \,\overline{\gamma} \; = \; \frac{1}{\displaystyle 1-\frac{v^2}{c^2}} \, . \label{step5a}
\end{eqnarray}
As $\gamma \,\overline{\gamma}$ depends on $c^2$, i.e., the square of $c$, we can conclude that ---  besides the fixed point $+c$ of the velocity addition law Eq.\ (\ref{step4cc}) and its inverse --- there simultaneously exists a second fixed point $-c$. Eq.\ (\ref{step5a}) can be used to transform Eqs. (\ref{step4aa}),  (\ref{step4bb}), (\ref{step4aaa}), (\ref{step4bbb}) and (\ref{step4cc}), (\ref{step4dd}) to their final form. As LLFV transformations should reduce to the identity in the limit \mbox{$v\rightarrow 0$}, we take the ``positive" complex square root of  Eq.\ (\ref{step5a}), i.e., $(\gamma \,\overline{\gamma})^{-1/2}=+\sqrt{ 1-\frac{v^2}{c^2}}$, and invoke it together with $\gamma = \sqrt{\gamma \, \overline{\gamma}} \cdot \sqrt{\frac{\gamma}{\overline{\gamma}}}$ and $\overline{\gamma} = \sqrt{\gamma \,\overline{\gamma}} \cdot \sqrt{\frac{\overline{\gamma}}{\gamma}}$ to  Eqs. (\ref{step4aa}),  (\ref{step4bb}), (\ref{step4aaa}), (\ref{step4bbb}) and obtain the following generalized  LLFV transformations  (with $\gamma \equiv \gamma (v)$, $\overline{\gamma} \equiv \gamma (-v)$):
\begin{eqnarray} z^\prime & = &  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle z - v \cdot t}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \label{step6a} \\[1mm]
  t^\prime & = &  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle t - \frac{v}{c^2} \cdot z}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \label{step6b} \\[3mm]
 z & = &  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle z^\prime + v \cdot t^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \label{step6c} \\[1mm]
  t & = &  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle t^\prime + \frac{v}{c^2} \cdot z^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \label{step6d}
\end{eqnarray}
and to Eqs.\ (\ref{step4cc}), (\ref{step4dd}) to arrive at the generalized velocity addition law and its inverse:
\begin{eqnarray} \frac{z^\prime}{t^\prime} & = & \frac{ \displaystyle \frac{z}{t}- v}{\displaystyle 1 - \frac{v}{c^2}  \cdot \frac{z}{t}}  \, , \label{step6e} \\
 \frac{z}{t} & = & \frac{ \displaystyle \frac{z^\prime}{t^\prime}+ v}{\displaystyle 1 + \frac{v}{c^2} \cdot \frac{z^\prime}{t^\prime}}  \, . \label{step6f}
\end{eqnarray}
Two comments are here in order: even though the previous Eqs.\ (\ref{step6a}), (\ref{step6b}), (\ref{step6c}), (\ref{step6d}), (\ref{step6e}) and (\ref{step6f}) look very similar to the well known text book equations appearing in the context of the standard formalism of special relativity they are completely non-trivial as they hold not only in a real-valued space-time and for real-valued velocities, yet also {\em in a complex-valued space-time and for complex-valued velocities}. Moreover is the extension of the aforementioned equations to three spacial dimensions achieved by replacing the complex-valued quantities $z$, $z^\prime$ and $v$ by complex-valued 3-dimensional vectors  $\vec{z}$, $\vec{z}^{\,\prime}$ and $\vec{v}$, respectively.
\section{On the choice of the invariant velocities $\pm c$ and the complexification of time}
As we allow complex-valued velocities we face more freedom than Albert Einstein in defining the invariant eventually complex-valued invariant velocities $\pm c$. We will discuss here two specific options to define $c$ of which the first is our preferred choice due to the arguments given below:\\
{\bf Option 1:} {\em Choose $c = \pm |c|$ real-valued with $|c|=299792458$~{\rm m/s}} \cite{mohr2012} {\em being the vacuum speed of light and set $\gamma = \overline{\gamma}$.}\\
Performing this choice  Eqs.\ (\ref{step6a}), (\ref{step6b}), (\ref{step6c}), (\ref{step6d}), (\ref{step6e}) and (\ref{step6f}) read:
\begin{eqnarray} z^\prime & = &   \frac{\displaystyle z - v \cdot t}{\displaystyle \sqrt{ 1-\frac{v^2}{|c|^2}}}  \, , \qquad   t^\prime \; = \;  \frac{\displaystyle t - \frac{v}{|c|^2} \cdot z}{\displaystyle \sqrt{ 1-\frac{v^2}{|c|^2}}}  \, ,  \qquad \frac{z^\prime}{t^\prime} \; = \; \frac{ \displaystyle \frac{z}{t}- v}{\displaystyle 1 - \frac{v}{|c|^2}  \cdot \frac{z}{t}}  \, ,  \\
 z & = &  \frac{\displaystyle z^\prime + v \cdot t^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{|c|^2}}}  \, , \qquad t \; = \;   \frac{\displaystyle t^\prime + \frac{v}{|c|^2} \cdot z^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{|c|^2}}}  \, , \qquad \frac{z}{t} \; = \; \frac{ \displaystyle \frac{z^\prime}{t^\prime}+ v}{\displaystyle 1 + \frac{v}{|c|^2} \cdot \frac{z^\prime}{t^\prime}}  \, .
\end{eqnarray}
With the exception of the square-roots all these equations are manifestly analytic.
On the world-line $z=v\cdot t$ of  ${\cal S^\prime}$ in ${\cal S}$ we have with $t\in  \mathbb{R}$:
\begin{eqnarray}  t^\prime & = &  \frac{\displaystyle t - \frac{v}{|c|^2} \cdot v\cdot t}{\displaystyle \sqrt{ 1-\frac{v^2}{|c|^2}}} \; = \;  t\cdot  \sqrt{ 1-\frac{v^2}{|c|^2}} \; \in \mathbb{C} \quad \mbox{for} \quad v\in \mathbb{C} \; .
\end{eqnarray}
Hence, the attractive feature of analyticity would be obtained at the price of multiplying time in the boosted frame by some complex-valued constant.\\
{\bf Option 2:} {\em Choose $c$ and $v$ to be (anti)parallel in the complex plane, i.e., $c = \pm |c|\cdot \frac{v}{|v|}=\pm \left|\frac{c}{v}\right|\cdot v$ with $|c|=299792458$~{\rm m/s}}  \cite{mohr2012} {\em being the vacuum speed of light, and set $\gamma = \overline{\gamma}$.}\\
Performing this choice  Eqs.\ (\ref{step6a}), (\ref{step6b}), (\ref{step6c}), (\ref{step6d}), (\ref{step6e}) and (\ref{step6f}) read:
\begin{eqnarray} z^\prime & = &   \frac{\displaystyle z - v \cdot t}{\displaystyle \sqrt{ 1-\left|\frac{v}{c}\right|^2}}  \, , \qquad   t^\prime \; = \;  \frac{\displaystyle t - \frac{v^\ast}{|c|^2} \cdot z}{\displaystyle \sqrt{ 1-\left|\frac{v}{c}\right|^2}}  \, ,  \qquad \frac{z^\prime}{t^\prime} \; = \; \frac{ \displaystyle \frac{z}{t}- v}{\displaystyle 1 - \frac{v^\ast}{|c|^2}  \cdot \frac{z}{t}}  \, ,  \\
 z & = &  \frac{\displaystyle z^\prime + v \cdot t^\prime}{\displaystyle \sqrt{ 1-\left|\frac{v}{c}\right|^2}}  \, , \qquad t \; = \;   \frac{\displaystyle t^\prime + \frac{v^\ast}{|c|^2} \cdot z^\prime}{\displaystyle \sqrt{ 1-\left|\frac{v}{c}\right|^2}}  \, , \qquad \frac{z}{t} \; = \; \frac{ \displaystyle \frac{z^\prime}{t^\prime}+ v}{\displaystyle 1 + \frac{v^\ast}{|c|^2} \cdot \frac{z^\prime}{t^\prime}}  \, .
\end{eqnarray}
All these equations are manifestly non-analytic.
On the world-line $z=v\cdot t$ of  ${\cal S^\prime}$ in ${\cal S}$ we have with $t\in  \mathbb{R}$:
\begin{eqnarray}  t^\prime & = &  \frac{\displaystyle t - \frac{v^\ast}{|c|^2} \cdot v\cdot t}{\displaystyle \sqrt{ 1-\left|\frac{v}{c}\right|^2}} \; = \;  t\cdot  \sqrt{ 1-\left|\frac{v}{c}\right|^2} \; \in \mathbb{R} \quad \mbox{for} \quad \left|\frac{v}{c}\right| \le 1 \; .
\end{eqnarray}
Hence, the attractive feature of a real-valued time in ${\cal S}$ and ${\cal S^\prime}$  would be obtained at the price of infering manifest non-analyticity to the theory.\\
\section{Momentum-energy covariance for complex-valued velocities}
It seems to be one of the greatest mysteries in theoretical physics that --- to our understanding --- the most straight forward derivation of Einstein's \cite{Einstein:1905xy} famous seemingly classical identity $E=mc^2$ is based on the correspondence between classical and quantum physics finding its manifestation in the concept of Louis de Broglie's \cite{deBroglie:1923xy} (1923) particle-wave duality (see also \cite{Pais2000,History2012}) in our words:\footnote{It should be stressed that the concept of ``electromagnetic mass" \cite{Pais2000,History2012} involving names like J.J.\ Thomson (1881), FitzGerald, Heaviside (1888), Searle (1896, 1897), Lorentz (1899), Wien (1900), Poincar\'{e} (1900), Kaufmann (1902-1904), Abraham (1902-1905), Hasen\"ohrl (1905)  had revealed already before Einstein (1905) a proportionality between energy and some (eventually velocity dependent) mass, i.e.\ $E\propto mc^2$. Einstein himself considered a moving body in the presence of e.m.\ radiation to derive $E=mc^2$.}  {\em In the process of quantisation the point particle of classical mechanics propagating in complex-valued space-time is replaced by energy quanta (quantum particles) being represented by some wave function $\psi$ evolving also in complex-valued space-time.} Quantum particles, i.e.\ energy quanta, can be --- depending on the spacial spread of the wave function and circumstances --- localized or delocalized. Moreover do they --- according \mbox{Liouville's} complementarity and Heisenberg's uncertainty principle --- display some simultaneous spread in complex-valued momentum space.

In the interaction-free case the wave function of a quantum particle with sharply defined momentum is a plane wave with angular frequency $\omega$ and  wave number $k$ (or wave vector $\vec{k}$ in more than one dimensions). For a real-valued space coordinate $x$ the functional behaviour of a plane wave is known to be $\psi(x,t)\propto \exp(i\,(k x-\omega t))$ yielding obviously:
\begin{eqnarray} & & \omega \; = \; + i\; \frac{\partial \ln \psi}{\partial t} \, , \qquad  k \; = \; - i\; \frac{\partial \ln \psi}{\partial x} \, .
\end{eqnarray}
As we extend our formalism to the complex plane we replace the real-valued coordinate $x$ by the complex-valued coordinate $z$ (or the complex-conjugate $z^\ast$). Instead of performing partial derivatives with respect to $x$ we will now perform partial derivatives with respect to $z$ (or $z^\ast$) which are known as  Wirtinger derivatives in one complex dimension and Dolbeault operators in several complex dimensions. They are used in the context of (anti)holomorphic functions and have the following fundamental properties being some special case of the famous Cauchy-Riemann differential equations:
\begin{eqnarray} & & \frac{\partial z^\ast}{\partial z} \; = \;  \frac{\partial z}{\partial z^\ast} \; = \; 0\, , \quad \frac{\partial z}{\partial z} \; = \;  \frac{\partial z^\ast}{\partial z^\ast} \; = \; 1\, .
\end{eqnarray}
On this formalistic ground we denote now generalized relations within a holomorphic framework to determine  the eventually complex-valued angular frequency $\omega$ and wave number $k$ for a plane wave propagating in some complexified phase space:
\begin{eqnarray} & & \omega \; = \; + i\; \frac{\partial \ln \psi}{\partial t} \, , \qquad  k \; = \; - i\; \frac{\partial \ln \psi}{\partial z} \, . \label{corrx}
\end{eqnarray}
Integration of these equations results in the following wave function for a plane wave in some some holomorphic phase space:
\begin{eqnarray} \psi(z,t) & \propto & \exp(i\,(k z-\omega t)) \, . \label{planewave}
\end{eqnarray}
As a key postulate (let's call it e.g.\ plane-wave-phase-covariance postulate (PWPCP)) in our derivation we claim at this point that {\em the eventually complex-valued phase of a plane wave should be a Lorentz scalar}. Or, in other words: {\em the eventually complex-valued phase of a plane wave should not change when boosted from one inertial frame to another}.\footnote{One could use these considerations even to define inertial frames on the basis of quantum particles: {\em An inertial frame in the absence of gravitation is some reference frame in complex-valued space-time in which the wave function describing a non-interacting quantum particle with sharply defined momentum has the mathematical form of a plane wave.}} For the previously considered inertial frames ${\cal S}$ and ${\cal S^\prime}$ this implies in particular:
\begin{eqnarray}  k z-\omega t  & = & k^\prime z^\prime -\omega^\prime t^\prime\, . \end{eqnarray}
We may now insert into the left-hand side of this equation our generalized LLFV transformations Eqs.\ (\ref{step6c}) and (\ref{step6d}), i.e.:
\begin{eqnarray}  k \cdot \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle z^\prime + v \cdot t^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}} -\omega \cdot  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle t^\prime + \frac{v}{c^2} \cdot z^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}} & = & k^\prime z^\prime -\omega^\prime t^\prime\, . \end{eqnarray}
Comparison of the left- and right-hand side of this equation yields the following two equations:
\begin{eqnarray} & &  k^\prime \; = \;  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle k - \frac{v}{c^2} \cdot \omega}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}   \, , \qquad \omega^\prime \; = \;  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle \omega - v \cdot k}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}} \, , \label{stepxa}
\end{eqnarray}
and by application of the principle of relativity interchanging $k$, $\omega$  and $k^\prime$, $\omega^\prime$, respectively, and replacing $v$ by $-v$ the two inverse equations:
\begin{eqnarray}
 & &   k \; = \;  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle k^\prime + \frac{v}{c^2} \cdot \omega^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \qquad \omega \; = \;  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle \omega^\prime + v \cdot k^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, . \label{stepxb}
\end{eqnarray}
These four equations state that an eventually complex-valued frequency $\omega$ and some ---  3-dimensionally generalized ---  wave vector $\vec{k}$ are transforming like a four vector under {\em inverse} generalized LLFV transformations.

While the wave representation of particles has brought us to the quantum formalism without even involving Planck's quantum of action  $\hbar=h/(2\pi)=1.054571726(47)\cdot 10^{-34}$~J$\,$s \cite{mohr2012} it is the following two highly non-trivial and fundamental identities conjectured by Louis de Broglie \cite{deBroglie:1923xy} (1923) to be applicable even to {\em massive} particles which will bring us back to the seemingly classical quantities momentum $p$ (here for simplicity in one  dimension) and energy $E$, i.e. (with $k=2\pi/\lambda$):\footnote{It is of course known that the former identity $E= h f$ (with $f=\omega/(2\pi)$) had been derived earlier --- using an energy-discretisation trick of  Boltzmann  --- by Planck (1900)  in the context of the e.m.\ radiation of a black body  and by Einstein (1905) to determine the energy of his {\em massless} photon, while the latter identity had been used in the form $p=hf/c$ for {\em massless} photons for the first time by Stark (1909) and later by Einstein (1916, 1918) while Compton (1923) and Debye (1923)  had finally confirmed the proportionality of the suggested three-momentum and wave vector of a {\em massless} photon by famous experiments.}
\begin{eqnarray} & & p \; = \; \hbar \, k \, , \quad E \; = \; \hbar\,\omega \, \label{stepdb}
\end{eqnarray}
and --- when combined with our Eqs.\ (\ref{corrx}) --- to the following two fundamental identies representing even for wave functions of interacting quantum particles (being not of plane wave form) the correspondence principle of QHJT, i.e.:
\begin{eqnarray} & & E \; = \; + i\, \hbar \; \frac{\partial \ln \psi}{\partial t} \, , \qquad  p \; = \; - i\, \hbar\; \frac{\partial \ln \psi}{\partial z} \, . \label{corry}
\end{eqnarray}
In multiplying Eqs. (\ref{stepxa}) and (\ref{stepxb}) by $\hbar$ it is now straight forward to obtain via Eqs.\ (\ref{stepdb}) the seemingly classical generalized Lorentz-Planck (LP) transformations (see also Planck \cite{Planck:1906xy} (1906)) relating here some even eventually complex-valued momentum and energy in inertial frames ${\cal S}$ and ${\cal S^\prime}$:\footnote{Without loss of generality we display the equations here only for one complex-valued momentum dimension.}
\begin{eqnarray} & &  p^\prime \; = \;  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle p - \frac{v}{c^2} \cdot E}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}   \, , \qquad E^\prime \; = \;  \sqrt{\frac{\overline{\gamma}}{\gamma}}\, \cdot \,  \frac{\displaystyle E - v \cdot p}{\displaystyle \sqrt{1-\frac{v^2}{c^2}}} \, , \label{stepya} \\[2mm]
 & &   p \; = \;  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle p^\prime + \frac{v}{c^2} \cdot E^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, , \qquad E \; = \;  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle E^\prime + v \cdot p^\prime}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}}  \, . \label{stepyb}
\end{eqnarray}
Hence, a particle with zero momentum  ($p^\prime=0$) in ${\cal S^\prime}$ will have in the frame ${\cal S}$ of a resting observer the eventually complex-valued velocity $v$ and appear with eventually complex-valued momentum $p$ and energy $E$ given  by:\footnote{In the limit $\gamma =  \overline{\gamma}$ we recover the famous relativistic identities $\vec{p} = m \vec{v}$ (Planck \cite{Planck:1906xy} (1906)) and $E=mc^2$ (Einstein \cite{Einstein:1905xy} (1905)) with $m=\frac{m_0}{\sqrt{1-(v/c)^2}}$.}
\begin{eqnarray} & &   p \; = \;   \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle m_0 \, v}{\displaystyle \sqrt{1-\frac{v^2}{c^2}}} \, , \quad
 E \; = \;  \sqrt{\frac{\gamma}{\overline{\gamma}}}\, \cdot \,  \frac{\displaystyle m_0 \, c^2}{\displaystyle \sqrt{ 1-\frac{v^2}{c^2}}} \, , \label{stepzb}
\end{eqnarray}
with $m_0\equiv E^\prime/c^2$ being some eventually complex-valued rest mass and Lorentz invariant as there obviously holds the generalized dispersion relation:
\begin{eqnarray} E^2 - (pc)^2 & = & \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2\, .\label{disprel1} \end{eqnarray}
\section{Non-Hermitian Klein-Gordon-Fock equation}
At this point we would like to recall Eqs.\ (\ref{corry}) expressing  the correspondence principle in QHJT and being even valid for {\em interacting} quantum particles:
\begin{eqnarray} & & E \; = \;  + i\, \hbar\; \frac{\partial \psi}{\partial t} \,\cdot \, \frac{1}{\psi} \, , \qquad  p \; = \; - i\, \hbar\; \frac{\partial  \psi}{\partial z} \,\cdot \, \frac{1}{\psi} \, , \label{corrz}
\end{eqnarray}
yielding obviously
\begin{eqnarray} & & E^2 \; = \;  (+ i\, \hbar)^2\; \left(\frac{\partial \psi}{\partial t}\right)^2 \,\cdot \, \frac{1}{\psi^2} \, , \qquad  p^2 \; = \; (- i\, \hbar)^2\; \left(\frac{\partial  \psi}{\partial z}\right)^2 \,\cdot \, \frac{1}{\psi^2} \, , \label{corrzz}
\end{eqnarray}
Simultaneously there are the following two identities holding for {\em non-interacting} quantum particles being described by a plane wave $\psi \propto \exp\left(\frac{i}{h} (p\, z - E\, t)\right)$ (obtained by combining Eq.\ (\ref{planewave}) with Eqs.\ (\ref{stepdb})):
\begin{eqnarray} & & E^2 \; = \;  (+ i\, \hbar)^2\; \frac{\partial^2 \psi}{\partial t^2} \,\cdot \, \frac{1}{\psi} \, , \qquad  p^2 \; = \; (- i\, \hbar)^2\; \frac{\partial^2  \psi}{\partial z^2} \,\cdot \, \frac{1}{\psi} \, , \label{corrzz}
\end{eqnarray}
As Klein \cite{Klein:1926tv}, Gordon \cite{Gordon:1926xy} and Fock \cite{Fock:1926fj} in 1926 we can insert Eqs.\ (\ref{corrzz}) in the dispersion relation Eq.\  (\ref{disprel1}) to obtain the generalized Klein-Gordon-Fock (KGF) equation describing a {\em non-interacting} relativistic quantum particle:
\begin{eqnarray} & & \overbrace{(+ i\, \hbar)^2\; \frac{\partial^2 \psi}{\partial t^2} \,\cdot \, \frac{1}{\psi}}^{\displaystyle E^2} -  \overbrace{(- i\, \hbar\,c)^2\; \frac{\partial^2  \psi}{\partial z^2} \,\cdot \, \frac{1}{\psi}}^{\displaystyle (p c)^2} \; = \; \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2 \label{KG1} \\[3mm]
 & \Longrightarrow & (+ i\, \hbar)^2\; \frac{\partial^2 \psi}{\partial t^2} \, - \, (- i\, \hbar\,c)^2\; \frac{\partial^2  \psi}{\partial z^2}  \; = \; \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2\; \psi \label{KG2} \\[3mm]
 & \Longrightarrow & (+ i\, \hbar)^2\; \frac{\partial^2 \psi}{\partial t^2} \; =\; (- i\, \hbar\,c)^2\; \frac{\partial^2  \psi}{\partial z^2}  +  \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2\; \psi \, . \label{KG3}
\end{eqnarray}
As usual the solution $\psi = \psi^{(+)} + \psi^{(-)}$ of the KGF Eq.\ (\ref{KG3}) can be decomposed into a sum of a retarded solution $\psi^{(+)}$ and an advanced solution $\psi^{(-)}$ solving not only the KGF Eq.\ (\ref{KG3}), yet also respectively the following relativstic retarded or advanced interaction free Schr\"odinger \cite{Schrodinger:1926xy} (1926) equations:
\begin{eqnarray}   \pm \,  i\, \hbar\; \frac{\partial \psi^{(\pm)}}{\partial t} & = & \sqrt{(- i\, \hbar\,c)^2\; \frac{\partial^2}{\partial z^2}  +  \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2}\;\; \psi^{(\pm)} \label{SE1} \\[2mm]
 & \approx & \left( \sqrt{ \frac{\gamma}{\overline{\gamma}}}  \; m_0\,c^2 -\, \sqrt{ \frac{\overline{\gamma}}{\gamma}} \; \frac{\hbar^2}{2\,m_0}\; \frac{\partial^2}{\partial z^2} + \ldots \right) \; \psi^{(\pm)}  \label{SE2}
\end{eqnarray}
In the last line we performed the non-relativistic limit well known for $\gamma =\overline{\gamma}$.
\section{Non-Hermitian Dirac-equation}
Each of the four components of the Dirac spinor $\psi$ of a {\em non-interacting} Dirac-quantum particle should individually respect the  KGF Eq.\ (\ref{KG1}). Returning to three eventually complex-valued space and momentum dimensions this condition is formally denoted by the following equivalent identities:
\begin{eqnarray} 0 & = & \left( E^2 - (\vec{p}\, c)^2 -  \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2 \right) \psi \label{dirac1} \\[1mm]
  \Rightarrow \quad 0 & = & \left((+ i\, \hbar)^2\; \frac{\partial^2}{\partial t^2}  - (- i\, \hbar\,c)^2\; \frac{\partial}{\partial \vec{z}} \cdot \frac{\partial}{\partial \vec{z}}  -  \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2 \right) \psi \label{dirac2} \\[1mm]
  \Rightarrow \quad 0 & = & \left(\left[\, \beta \left( + i\, \hbar\,  \frac{\partial}{\partial t}  - (- i\, \hbar\,c)\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \right) \right]^2  -  \frac{\gamma}{\overline{\gamma}} \; (m_0\,c^2)^2 \right) \psi \label{dirac3} \\[1mm]
  \Rightarrow \quad 0 & = &  \left(\, \beta \left( + i\, \hbar\,  \frac{\partial}{\partial t}  - (- i\, \hbar\,c)\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \right)   -  \sqrt{\frac{\gamma}{\overline{\gamma}}} \; m_0\,c^2 \right)  \nonumber   \\[1mm]
 &  & \left(\, \beta \left( + i\, \hbar\,  \frac{\partial}{\partial t}  - (- i\, \hbar\,c)\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \right)   +  \sqrt{\frac{\gamma}{\overline{\gamma}}} \; m_0\,c^2 \right) \psi  \, . \label{dirac4} \end{eqnarray}
Throughout the factorization of Eq.\ (\ref{dirac2}) we made use of the four well known $4\times 4$ Dirac matrices $\vec{\alpha}$ and $\beta$, which are defined as follows with the help of the Pauli matrices $\vec{\sigma}$, the $2\times 2$ unit matrix $1_2$ and the $2\times 2$ zero matrix $0_2$:
\begin{eqnarray} & & \vec{\alpha} \; \equiv \; \left( \begin{array}{cc} 0_2 & \vec{\sigma} \\ \vec{\sigma} & 0_2 \end{array}\right) \; , \qquad \beta \equiv  \left( \begin{array}{cc} 1_2 & 0_2 \\ 0_2 & - 1_2 \end{array}\right) \; .
\end{eqnarray}
By simple inspection of Eq.\ (\ref{dirac4}) and use of the identiy $\beta^2=1_4$ it is now straight forward to denote the retarded and advanced Dirac \cite{Dirac:1928hu} (1928) equations for the retarded component $\psi^{(+)}$ and advanced component $\psi^{(-)}$ of solution $\psi=\psi^{(+)}+\psi^{(-)}$ of the {\em interaction free} KGF Eq.\ (\ref{dirac1}), i.e.:
\begin{eqnarray}
 0 & = & \left(\, \beta \left( + i\, \hbar\,  \frac{\partial}{\partial t}  - (- i\, \hbar\,c)\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \right)   \mp  \sqrt{\frac{\gamma}{\overline{\gamma}}} \; m_0\,c^2 \right) \psi^{(\pm)}  \, \\[1mm]
 & \Rightarrow & + i\, \hbar\,  \frac{\partial \psi^{(\pm)}}{\partial t} \; = \; \left( - i\, \hbar\,c\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \; \pm \sqrt{\frac{\gamma}{\overline{\gamma}}} \; \beta \;  m_0\,c^2 \right) \psi^{(\pm)}  \, \\[1mm]
 & \Rightarrow & \pm\,  i\, \hbar\,  \frac{\partial \psi^{(\pm)}}{\partial t} \; = \; \left( \pm \, (- i\, \hbar\,c)\; \vec{\alpha} \cdot  \frac{\partial}{\partial \vec{z}} \; + \sqrt{\frac{\gamma}{\overline{\gamma}}} \; \beta \;  m_0\,c^2 \right) \psi^{(\pm)}  \, . \label{dirac5}
\end{eqnarray}
Once more we stress that these generalized Dirac equations, the generalized Schr\"odinger Eqs.\ (\ref{SE1}), (\ref{SE2}) and the generalized KGF Eqs.\ (\ref{KG3}), (\ref{dirac2}) do hold even in complex-valued space-time and for complex-valued rest mass $m_0$.
\section{Final remarks}
The purpose of the presented considerations has been to extend the concept of covariance to complex-valued space time. It is remarkable that this can be achieved in some analytical way on the basis and in accordance with the correspondence principle of QHJT. After extending the concept of inertial frames to the complex plane we have constructed on one hand generalized  LLFV and LP transformations relating the four vectors of complex-valued space-time and momentum-energy beween two inertial frames with an eventually  complex-valued relative velocity, on the other hand  a complex generalization of Einstein's energy-mass equivalence $E = m\,c^2$. It turned out that the complexification of time is not a severe problem as a boost will multiply the time at most by a complex constant. Moreover it has been possible to derive on the basis of a generalized concept of covariance generalized KGF, Schr\"odinger and Dirac differential equations which can be used to formulate of a non-Hermitian quantum theory describing the apparently complex laws of physics. As had been pointed out already earlier (e.g.\ \cite{Kleefeld:2004jb}) it is the advanced  Schr\"odinger (or Dirac) equation which plays the role of Benders hardly constructable CPT-transformed Schr\"odinger (or Dirac) equation required to construct some positive semidefinite CPT-inner product \cite{Bender:2002vv} for some PT-symmetric quantum theory. The possibility to obtain via covariance directly the underlying advanced Schr\"odinger (or Dirac) equation as described in the present paper will make the tedious search and construction of a unique CPT-inner product in non-Hermitian quantum theory needless.

At this place we would like to thank Miloslav Znojil for the strong encouragement to publish the present --- already comprehensive --- results despite the fact that --- to our understanding --- there remain still many questions open to be answered elsewhere in future.

\subsection*{Acknowledgements}

This work was supported by the Funda\c{c}\~{a}o para a Ci\^{e}ncia e a Tecnologia of the
Minist\'{e}rio da Ci\^{e}ncia, Tecnologia e Ensino Superior of Portugal, under contract
CERN/FP/123576/2011  and by the Czech project
LC06002.

redpajama_set_name: RedPajamaArXiv


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