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*


*What makes you think you can teach? I can handle dozens of clocks. I know 
what a spacetime diagram. It was taught in pre-school. Why did you 
introduce a red photon? A joke perhaps? How can a clock move at light 
speed? It's a real muddle. I think you meant well, but you don't have the 
maturity to contain your temper. Nonetheless, the photon clock gave me a 
good idea, which I just wrote about. 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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