From: mlfasf@comcast.net   
      
   On 5/4/22 5:11 AM, I (Mike Fontenot) wrote:   
      
   >   
   > In a SINGLE SCENARIO:   
   >   
   > (1): YOU (Tom Roberts) contend that the accelerating person (the AO)   
   concludes that   
   > the separation between himself and his helper friend ("HF") is CONSTANT.   
   >   
   > (2):  YOU (Tom Roberts) contend that the perpetually-inertial observer ALSO   
   concludes   
   > that the separation between the AO and the HF is CONSTANT.   
   >   
   > The special theory of relativity does NOT allow item (1) and item (2) to   
   > BOTH be true, in a SINGLE SCENARIO.  In special relativity, a   
   > perpetually-inertial observer can NEVER agree with an accelerating   
   > observer for longer than a single instant.   
   >   
   >     Michael Leon Fontenot   
   >   
      
   The simplest way, to see that my statements above are true, is to use   
   the well-known (and sacrosanct) length-contraction equation (LCE) of   
   special relativity:   
      
   According to a perpetually-inertial observer (PIO), a meter-stick   
   stationary in any other frame that is moving wrt the PIO will be   
   SHORTENED by the FACTOR   
      
      gamma = sqrt( 1 / [ 1 - v * v ],   
      
   where "v" is the current velocity of the other frame wrt the PIO's   
   frame, and the asterisk denotes multiplication.   
      
   At any instant in his life, the accelerating observer (AO) says that his   
   yardstick is three feet long.  But the PIO says the yardstick's length   
   is  3 feet DIVIDED by gamma.  Since gamma is greater than 1.0 when v is   
   nonzero,  the PIO says that the moving yardstick is shorter than three   
   feet long.   
      
      
       Michael Leon Fontenot   
      
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