From: tjroberts137@sbcglobal.net   
      
   On 4/14/22 11:25 PM, Mike Fontenot wrote:   
   > Tom, you've misunderstood what I'm doing.   
      
   No, I don't think I have. But you have misunderstood basic relativity,   
   and have misunderstood when the equivalence principle applies, and when   
   it doesn't. See my recent post about this.   
      
   > [... completely new scenario involving clocks at different floors of   
   > a high-rise building]   
      
   1. In the gravitational scenario, if you have good enough   
      measurement accuracy to distinguish the elapsed proper times   
      of the clocks, then you cannot apply the equivalence principle   
      (EP), because the curvature of spacetime is not negligible.   
   2. Because of #1, your two scenarios do not correspond as you   
      claim -- they are NOT "equivalent" because the EP does not   
      apply.   
   3. GR does NOT say "each HF's clock suddenly starts ticking faster   
      than the AO's clock", because clocks always tick at their usual   
      (intrinsic) rate [#]. IOW: a clock's proper tick rate is   
      independent of its instantaneously co-moving inertial frame. --   
      this is a direct consequence of Einstein's first postulate   
      of SR, as it applies in GR.   
   4. But you are not actually comparing clock tick rates, you are   
      comparing their elapsed proper times. In GR a clock's elapsed   
      proper time is computed by integrating the metric over its path   
      through spacetime. The equation you use is the difference between   
      two such integrals, applied to your specific physical situation.   
      That difference is not due to different clock tick rates, but   
      rather is due to the difference in the metric at their locations   
      -- examine the derivation and you'll see it assumes equal proper   
      (intrinsic) tick rates but different values of the metric.   
      
   	[#] But signals from a distant clock can tick at a   
   	different rate from that of a local, identical clock.   
   	This is due to the way such signals are measured, which   
   	is the basis of all types of redshift measurements.   
      
   Bottom line: as before in your earlier scenarios, you have misunderstood   
   basic relativity, and have misapplied the equivalence principle.   
      
   Tom Roberts   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)