From: tjroberts137@sbcglobal.net   
      
   On 9/8/18 5:43 PM, Nicolaas Vroom wrote:   
   > The question is if the behaviour of a clock in a centrifuge can be   
   > described by means of the equation: sqrt(1-v^2/c^2).   
      
   In SR, "time dilation" does not depend on the type of clock -- it is a   
   geometrical projection caused by the fact that clocks in relative motion   
   have non-parallel 4-velocities. This is pure geometry and simply CANNOT   
   depend on the type of clock.   
      
   The actual equation is:   
   	t' = \integral sqrt(1-v^2/c^2) dt   
   where t is the time coordinate of an inertial frame, v is the speed of   
   the clock relative to that frame (as a function of t), and the integral   
   is taken over the path of the clock through spacetime; t' is then the   
   elapsed proper time of the clock over the path. For any path with   
   nonzero v, t' is smaller than the elapsed coordinate time of the path.   
      
   > For certain clocks: Yes. For other clocks: NO.   
      
   Nope. Somewhere you goofed. The above equation holds for all types of   
   clocks.   
      
   	Note that t and v MUST be associated with an INERTIAL FRAME.   
   	That could be your mistake. Also the speed of light in vacuum   
   	is c only relative to an INERTIAL FRAME. That could also be   
   	your mistake. Note that no rotating system is an inertial frame,   
   	so if you ever used rotating coordinates in any way you almost   
   	surely introduced an error. You must carefully trace out the   
   	path of the light pulse relative to the inertial frame of the   
   	center of the centrifuge -- that is non-trivial and fraught   
   	with potential errors.   
      
   > What the simulation shows is that a clock with parallel mirrors   
   > is in agreement with lotentz transformation. In case #2 not.   
      
   Your simulation is wrong.   
      
   Tom Roberts   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)