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I feel you would be better off concentrating on one effect at a time, and first discuss the effects of speed/acceleration, then maybe adding in gravity. Einstein once said (supposedly) 'moving clocks run slow' - this doesn't explain anything, but confirms what needs explaining.
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I'm sorry but...
The only thing I can say for sure about the movie "Interstellar" and time (dilated or otherwise) is that it was a complete waste of mine 
Sometimes, it just is, OK!
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I would recommend the book:
"Why Does E=mc2? (And Why Should We Care?)"
by Brian Cox, Jeff Forshaw.
[The authors are Scottish Physicists and if you get the audio book and listen to them rea it with their accents it's even better!]
They talk about experiments where radioactive particles were run in a particle accelerator and compared with particles of the same material not run. They could measure the half life and the difference between the two samples was exactly as Einstein's theory would predict.
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Scottish? Wow! People really are accent blind. I never believed it before!
Brian Cox hails from Oldham in Lancashire. I've not been able to find a birthplace for Jeff Forshaw but has a similar accent though whether this has been acquired from working at Manchester University I cannot say. However they are both very much English. Northern English but definitively not Scottish!
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Despite my confusion they are brilliant at explaining a very complex subject!
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Doesn't GPS (and perhaps most /all sattelites) take time dilation into account?
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I believe that this fits your requirements
I was going through my e-mails for some information on atomic frequency standards, when I came across an e-mail that I had sent to Tom Van Baak in 2007 congratulating him for his family-friendly time dilation experiment. If you are not familiar with his work, I heartily recommend that you explore his precision-time-keeping webpage at LeapSecond.com.
Tom wanted to demonstrate Relativity to his children, so in September 2005 he loaded the family’s minivan with portable power supplies, monitoring equipment, and three HP 5071 cesium clocks. With his three kids and some camping gear in tow, he drove the winding roads spiraling up Washington’s Mt. Rainier and checked the family into a lodge 5,319 feet above sea level.
By keeping the clocks at altitude for a weekend they were able to detect and measure the effects of relativistic time dilation compared to atomic clocks they left at home. The amazing thing is that the experiment worked! The predicted and measured effect was just over 20 nanoseconds.
For more information, go to Tom’s excellent webpage “Project GREAT: General Relativity Einstein/Essen Anniversary Test – Clocks, Kids, and General Relativity on Mt Rainier”
http://www.diyphysics.com/2012/03/15/tom-van-baaks-family-friendly-relativistic-time-dilation-experiment/
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The problem with the time dilation examples are the inaccuracies in it make almost everything unknown. Where is the orbit relative to Earth? Once you get far enough out, the orbit with earth will lose to the orbit around the sun. How long does it take to get a three minute change in time? What's the mechanism for tracking time? If it is a grandfather clock movement, it will take 3 minutes in orbit to get a 3 minute time difference. If it is atomic resonance, I'd guess (WAG) it would take 3 million days to get 3 minutes difference in synchronous orbit. Being able to accelerate infinitely while reaching 99.9999999999% of the speed of light it would take 1.5 minutes out, reverse direction and 1.5 minutes back to get a 3 minute difference and it would have to have an incredibly strong machine to withstand the G forces and very fast computing to be able to tell when you are 1.5 light minutes away to stop and come back. If you went with it, you would be gelatinous goo when you get back. IE The web site doesn't do any real explaining of what is happening to cause the dilation or how long it takes to see that dilation.
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Quote: Being able to accelerate infinitely while reaching 99.9999999999% of the speed of light
Er ... this and other self-contradictory statements suggest that you really haven't got to grips with this at all. Sorry!
Quote: it make almost everything unknown
But are they known unknowns or unknown unknowns?
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I'm contradictory? I intentionally made it that way because of the web link that synchronized two clocks and kept one on earth and installed the other one on a ship going nearly the speed of light. The web site certainly didn't explain how gravity or speed affects time. I believe gravity affects it because space around a heavy body is bent changing the speed light moves through space near a heavy body and that somehow affects time. I certainly don't know enough about it to properly explain how it all works, but I know enough to recognize when I see a poorly made example that doesn't really explain anything.
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You are really off base.
This can be measured and has been. It's real.
You are making the mistake of trying to relate relativity physics to your personal experience and common sense. Doesn't work.
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Quantum physics seems full of self-contradictory statements. That's why I self-contradicted myself. The examples always have spaceships going near the speed of light without ever explaining how you got the ship moving that fast. Nor do they use the math needed because the ship is already moving that fast when you start measuring the time effects.
Of course they have proof they are right. The great wizard of OZ knows all, just ignore the man you see behind the curtain.
The theory of relativity was and still is a theory. Even though the light shifting effects of binary stars can be seen and measured as their orbital positions shift relative to us, we aren't seeing anything in space moving near the speed of light to us.
The speed of light is about 300000000 m/s, Earth gravity is about 9.75 m/s^2. The time to reach the speed of light in "normal" physics accelerating at "Earth gravity" would approximately be 300000000/(9.75*3600*24) or about 356 days. You being in the space ship using quantum physics, the perceived time becomes less than the actual time so you need to slow the acceleration down to match perceived time. (You would start at a force of 2 Gs so the initial acceleration is 1 G away from earth and cut down on the force as you reach escape velocity.) This also ignores how your propelent can work since it is almost stationary as you near light speed.
There isn't any way to reach the speed of light using quantum physics because as you near the speed of light, the power needed increases exponentially to maintain the perceived 1G acceleration until the power doesn't exist.
I don't know the math to calculate it, but if you perceive one object from earth moving at 0.6 times the speed of light (SOL) in one direction and another moving at 0.6 SOL in the opposite direction, it appears like they are approaching at 1.2 times the SOL while each object sees the other object is moving at less than SOL towards them. (These "ships" should have view screens with stickers saying "objects you see are moving faster than they appear to be moving")
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Should have said, "Other than light, we aren't seeing anything in space close to us, moving near the speed of light to us."
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From "Why Does e=mc^2 and Why Does It Matter?":
In the late 1990s, the scientists at Brookhaven built a machine that produced beams of muons circulating around a 14-meter-diameter ring at a speed of 99.94 percent of the speed of light. If muons live for only 2.2 microseconds when they are speeding around the ring, then they would manage only 15 laps of the ring before they died. 4 In reality, they managed more like 400 laps, which means their lifetime is extended by a factor of 29 to just over 60 microseconds.
Cox, Brian; Forshaw, Jeff (2009-07-14). Why Does E=mc2?: (And Why Should We Care?) (pp. 51-52). Perseus Books Group. Kindle Edition.
and then this:
We can therefore use our equation to predict by how much time should slow down when traveling at 99.94 percent of the speed of light, and therefore by how much a muon’s lifetime should be extended. Einstein predicts that the muons in Brookhaven should have their time stretched by a factor of γ = 1/ √ 1— υ2/ c2 with υ/ c = 0.9994. If you have a calculator handy, then type the numbers in and see what happens. Einstein’s formula gives 29, exactly as the Brookhaven experimenters found.
Cox, Brian; Forshaw, Jeff (2009-07-14). Why Does E=mc2?: (And Why Should We Care?) (p. 52). Perseus Books Group. Kindle Edition.
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The speed of light is 299792458 m/s, 299792458*0.9994~=299612582
14 m diameter is about 43.98 m circumference,distance traveled about 17592 m
17592/299612582 is about 5.872e-5 seconds or just under 60 microseconds.
I'm surprised there is a measuring device accurate enough that it can count 400 loops being made on a 44 meter track in about 60 microseconds.
I know muons is or is like a light emitting particle, so, how do you get it to stand still so you can measure the 2.2 microsecond lifespan it normally has when it isn't moving? Doesn't the Heisenberg principle apply when making these measurements? I can't help but think that running a car into a brick wall at 60 mph (m is miles here) would severely shorten the lifespan of the car. (wrong analogy if muons are normally stationary.)
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Today a government helicopter was flying around seeding the clouds in the hopes of producing some rain.
Rain is seriously needed here on the Korat Plateau. We got a little rain as a result of the Southwest Monsoon that come from Cyclones in the Indian Ocean - remember recent flooding in Southern India.
That was a few weeks ago and only was intermittent thunder storms with a few hours of real monsoon rains - rain that falls straight down with zero visibility - on a day or two.
Taking a cue from the starting of the rains we went ahead and seeded our rice paddies and planted corn, peanuts and watermelon in the field behind my house. After that we got very little rain for the past two or three weeks.
The corn and peanuts seem to be doing surprisingly well with the meager showers we have had - not nearly enough - but, as you might imagine, the watermelon not so much.
One rice paddy - the smaller of the two - seems to be in pretty good shape, but the other one a few kilometers away - the larger one - isn't doing to good with weeds growing up and a lot of pale green and yellow rice. If it doesn't rain in a few days we will most likely need to re-seed it when the Northeast Monsoon - from Typhoons in the Pacific Ocean - rain starts in a month or two.
Anyway, back to the cloud seeding. The result was some really ominous looking clouds just before sundown, seriously black, but not a drop of rain.  These were the blackest clouds I have ever seen.
Hope we get some substantial rain in time to salvage the ailing rice paddy and get a bumper crop of TengMo (watermelon).
<edit>
Mark Clifton pointed out that cloud seeding was carried out at altitudes above where helicopters fly. He is most likely correct and the helicopters I observed were probably just in transit to an Army Garrison to the west of where I live. The Royal Thai Air Force is cloud seeding in the area.
</edit>
Once you lose your pride the rest is easy.
In the end, only three things matter: how much you loved, how gently you lived, and how gracefully you let go of things not meant for you. – Buddha
modified 6-Jul-15 11:54am.
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Hope you get some rain soon, JimmyRopes!
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Thanks - we are hoping.
Once you lose your pride the rest is easy.
In the end, only three things matter: how much you loved, how gently you lived, and how gracefully you let go of things not meant for you. – Buddha
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I'd send you some of ours - we have plenty - but it doesn't email well...
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Where is the teletransporter when you need it? 
Once you lose your pride the rest is easy.
In the end, only three things matter: how much you loved, how gently you lived, and how gracefully you let go of things not meant for you. – Buddha
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The pattern buffer is probably full!
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Damn, maybe a 3D printer will have to do?
Once you lose your pride the rest is easy.
In the end, only three things matter: how much you loved, how gently you lived, and how gracefully you let go of things not meant for you. – Buddha
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Man! You have hard rain in Thailand! 
(I remember it being wet - very wet - in Thailand when the monsoon does arrive, but I don't remember it being that firm and plasticky...)
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Desperate times call for desperate measures.
Once you lose your pride the rest is easy.
In the end, only three things matter: how much you loved, how gently you lived, and how gracefully you let go of things not meant for you. – Buddha
modified 5-Jul-15 12:32pm.
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Thought this was a new technology that uSoft dreamed up to replace Azure? 
Seriously good luck with the rains!
New version: WinHeist Version 2.1.1 new web site.
I know the voices in my head are not real but damn they come up with some good ideas!
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