Sagittarius A-Star's latest activity
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Sagittarius A-Star replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.This means for proper time squared: ##(d\tau)^2 = (dT + \kappa dX)^2 - dX^2 - dY^2 - dZ^2\ \ \ \ \ (1)## Multiplying equation ##(1)##... -
Sagittarius A-Star replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.But I think it is correct: The reason is, that the term ##m ({dx \over d\tau}, {dy \over d\tau}, {dz \over d\tau})## does not contain...
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Sagittarius A-Star replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.Conserved energy is the time-component of the 4-momentum ##p_\mu=m {dx_\mu \over d\tau}##. ##E = m {dt \over d\tau}##. The conserved...
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Sagittarius A-Star replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.Please see A. Einstein: "The Meaning of Relativity"/Lecture 2, equations (39) and (42)...
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Sagittarius A-Star replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.Einstein modified Newton's definition ##p_x=mv_x## to ##p_x=m {dx \over d\tau}##. This does not depend on the clock-synchronization...
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Sagittarius A-Star reacted to JimWhoKnew's post in the thread B Trying to calculate proper time of worldlines using rotating frames with
Like.
As @PeterDonis said in #22, the OP calculated in the Born coordinates (see the "edit" note at the end of #20). I just "tidied up" the... -
Sagittarius A-Star reacted to PeterDonis's post in the thread B Trying to calculate proper time of worldlines using rotating frames with Like.
I'm not sure the OP is actually using the same Born coordinates for both observers. The calculation in post #7 looks like it's...
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Sagittarius A-Star replied to the thread B Trying to calculate proper time of worldlines using rotating frames.To my understanding this is valid for oberserver ##p_1##, but not for ##p_2## described in the same coordinates.
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Sagittarius A-Star replied to the thread B Trying to calculate proper time of worldlines using rotating frames.I think you cannot integrate over 100 revolutions, because the used Born coordinates are only defined in the range ##-\pi < \phi <...
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Sagittarius A-Star replied to the thread B Trying to calculate proper time of worldlines using rotating frames.I think you are only calculating in the simple non-rotating frame and use the time-dilation factors of SR. BTW.: From this I conclude...
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Sagittarius A-Star replied to the thread B Trying to calculate proper time of worldlines using rotating frames.I think you can't use Galilean (angular) velocity addition for ##\omega_1## an ##\omega_2##.
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Sagittarius A-Star reacted to Ibix's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
I misread the OP. As @PeroK says in #2, you have a ##c/2## one-way speed in the A-to-B direction and an ##\infty## speed in the B-to-A...
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Sagittarius A-Star reacted to PeroK's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
We might as well assume that ##t[A1] = t[B2] = 0##. When A receives the signal back from B, the clock reads ##t = \frac {2L}{c}##. A...
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Sagittarius A-Star reacted to Demystifier's post in the thread Collection of Science Jokes P2 with
Agree.
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Sagittarius A-Star reacted to fresh_42's post in the thread Collection of Science Jokes P2 with Like.
