On 10/25/2024 2:15 AM, Alan Grayson wrote:
On Friday, October 25, 2024 at 2:40:26 AM UTC-6 Brent Meeker wrote:
On 10/24/2024 11:26 PM, Alan Grayson wrote:
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 absence (sp) of time
dilation. AG*
*If you've shown it, where's your diagram?
Brent
*
*"We don't need no stinkin' badges." -- a famous line from a great
movie. *
*Treasure of Sierra Madre*
*I showed that all clocks in both frames can be sychronized, so that
establishes (IMO), or at least strongly suggests, that there is no
time dilation. *
*So where is this revelation written down. And what do you mean by "can
be synchronized"? Nobody doubts that two moving clocks, while in close
proximity, can be set to the same time; but what they do after that is
generally called exhibiting time dilation...although I think that's
misleading when their relationship is symmetric.*
*Why would it exist if all clocks in both frames are in synch, and
since they're identical, they tick at the same rate? AG*
*Each ticks at the the given rate in it's own frame. But it doesn't
follow that they tick the same as measured different frame moving
relative to theirs. That's the point of the diagram. All three clocks
tick at the same rate in their own frame, the black and red clocks click
slower in the frame of the blue clock.
Brent*
**
**
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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