Here is a start. Wikipedia has an article about time dilation and particles: http://en.wikipedia.org/wiki/Time_dilation_of_moving_particles In it is a description of an experiment by Frisch-Smith where they measured the travel time for muons of relatively high energy as they propagated over a distance of 1907 meters. They state that it takes these particles 6.4 microseconds to complete the journey according to clocks at rest on the Earth. That means they are moving at a velocity of approximately .995 times c according to that observer.
I reversed the usual square root of (1 minus (v/c) squared) where v was equal to .995 times c to eventually calculate the effective velocity of the particle within its own reference frame. The final calculation yields a speed of 10.0125 times c. This is the speed that the muon would think that it is traveling through a distance of 1907 meters that it could have measured just prior to it's immense acceleration due to the cosmic ray impact. All observers at rest on the Earth would measure the distance as 1907 meters. If you take the 1907 meters and divide it by the particle determined velocity of 10.0125 times c you get a travel time in its reference frame of .6349 microseconds. These muons are normally measured to decay with a half life of 2.22 microseconds. This half life allows a calculation of the number of muons remaining after any given amount of time so in this case you expect to see 563 muons per hour at the beginning of the trip being reduced by a factor of e raised to the negative .6349/2.22 which is .75125. The total should be 563 times .75125 or 422.96 muons per hour. The actual experiment yielded 412 muons per hour. The error bars are at plus and minus 10 %. The muon appears to be moving at approximately 10 times c according to its internal clock, etc. We all realize that an Earth bound observer sees it moving at .995 times c and that its apparent internal clock seems to be slowed down by the SR relationships. This is an analogy to the spaceman that we are considering in the discussion. Dave -----Original Message----- From: Eric Walker <[email protected]> To: vortex-l <[email protected]> Sent: Sun, Nov 17, 2013 12:00 pm Subject: Re: [Vo]:Local Calculated Velocity of Space Ship On Sun, Nov 17, 2013 at 7:57 AM, David Roberson <[email protected]> wrote: I am confident that the world he sees before him will appear warped by his velocity when he compares notes to other spacemen traveling at a different clip. To compare notes, they will have to send him photons that are emitted from charged particles accelerated from pulsars and now in the TEv spectrum, so that he can detect them in the radio wave spectrum. Generations of descendants of the pilots of the near-light-speed observer that he passed will have come and gone in a nanosecond for him as he listens to Steely Dan on his tape cassette player and eats freeze dried astronaut food. His family and thousands of generations of their progeny will have passed away in a split second 6.022E23 earth years ago, while he whacks the 100Mz onboard flight computer to get the green phosphor screen to come back on. It is very interesting thought experiment. He's trying to approach an asymptote, which is always a losing proposition for practical people. Perhaps something on the planck scale is going to start getting in the way -- some fundamental constant is going to make it so that space is no longer continuous but is now big and blocky and no longer makes smooth flight possible. The meson experiment confirms that this occurs as well if you view the world from its point of view. Perhaps we should chew on that one next. Can you elaborate? Eric
