On Thursday, October 24, 2024 at 11:07:18 PM UTC-6 Brent Meeker wrote:




On 10/24/2024 5:46 PM, Alan Grayson wrote:



On Thursday, October 24, 2024 at 1:30:32 PM UTC-6 Brent Meeker wrote:

Here's  how a light-clock ticks in when in motion.  A light-clock is just 
two perfect mirrors a fixed distance apart with a photon bouncing back an 
forth between them.  It's a hypothetical ideal clock for which the effect 
of motion is easily visualized.



These are the spacetime diagrams of three identical light-clocks moving at 
*+*c relative to the blue one.  


*Three clocks?  Black diagram? If only this was as clear as you claim. TY, 
AG*





*You can't handle more than two?  The left clock is black with a red 
photon.  Is that hard to comprehend?  Didn't they teach spacetime diagrams 
at your kindergarten?                 Brent*


*If you could cease behaving like an arrogant a'hole, likely beyond your 
maturity and capability, maybe we could get somewhere on this problem. I 
was thinking about your diagrams, and concluded you could prove your point 
with the simple observation and simpler diagram, that with your photon 
clock, it would be easy to show that from the pov of a rest clock, the 
moving clock would appear to have a slower rate. And since inertial frames 
are equivalent in SR, the same result would be evident for the rest frame, 
when considered as the moving frame. BUT, what I have shown, with an 
arbitrary clock, that all clocks in both frames can be synchronized, 
ostensibly showing the absense of time dilation. AG*

 

Because the speed of light is invariant the photon paths are at unit slope 
inside all three clocks, so it is easily seen why the relative motion makes 
the clock seem slow although each clock is ticking at the same rate in it's 
own reference frame.  The red diagram is just the blue diagram Lorentz 
transformed as it would be seen in a frame moving the left at 0.5c, and the 
black diagram as it would be seen from a frame moving to the right.

Brent

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