From: mlfasf@comcast.net   
      
   On 4/11/22 2:00 AM, (I) Mike Fontenot wrote:   
    >   
    > If I am an accelerating observer, and if I OBSERVE a TV > image of   
   the distant person, that tells me what that distant > person looked like   
   along time ago.  That's not meaningful > to me, because I don't know how   
   to determine how much > she aged while the message was in transit.   
    >   
      
   I need to correct that last sentence.  Observing the TV image of the   
   distant person WOULD be meaningful to me.  ALL observations are   
   meaningful, almost by definition.  But what I was thinking when I made   
   that statement was that, that observation wouldn't help me determine her   
   current age "right now", because I don't know how to determine how much   
   she aged while the message was in transit.   
      
    > But if I'm mutually stationary wrt the array of clocks that I > have   
   previously described, which provides a "NOW" for >me extending   
   throughout space, that DOES give me a >meaningful answer to the question   
   of how old   
    >she currently is.  And by "meaningful", I mean that I >REALLY believe   
   that she is currently that age.  The only >way I can be wrong about her   
   current age is if my equation >for the rate ratio of the two clocks is   
   wrong.  I'm confident >that it is correct.  I think it IS experimentally   
   testable.   
      
      
   The ability to construct an array of clocks (mutually stationary with   
   the accelerating observer) establishes a "NOW" moment for him, and   
   answers his question about her current age in a way that is fully   
   meaningful.  But that hinges on my equations for the rate ratio R(t) and   
   the age change AC(t) being correct.   
      
   The rate ratio equation is   
      
        R(t)  =  [ 1 +-  L  A  sech^2 (A t) ],   
      
   where L is the constant distance between him and the given HF, and   
   sech() is the hyperbolic secant (which is the reciprocal of cosh(), the   
   hyperbolic cosine).  The "^2" after the sech indicates the square of the   
   sech.  The "+-" in the above equation means that the second term is   
   ADDED to 1 for the HF's who are LEADING the accelerating observer, and   
   the second term is SUBTRACTED from 1 for the HF's who are TRAILING the   
   accelerating observer.   
      
   The current reading of the HF's clock (the "Age Change" or "AC"), when   
   the AO's clock reads "tau", is   
      
      AC(tau)  =  integral, from zero to tau, of { R(t) dt }   
      
                     =  tau  +  L tanh( A tau ).   
      
   If anyone can spot an error in my derivation of those two equations,   
   please let me know about it.  The derivations are fairly lengthy, but   
   are shown completely in the paper that I put on the viXra on-line   
   repository:   
      
      https://vixra.org/abs/2201.0015   
      
      Michael Leon Fontenot   
      mlfasf@comcast.net   
      
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