Re: Clock synch



jt64@xxxxxxxx wrote:
Tom Roberts skrev:
In SR, measured with coordinate clocks, the one-way speed of light is
also isotropically c in every inertial frame.

I am not sure though that isotripical measured speed of light c in
every inertial frame is compatible with isotropical "symmetric
roundtrips" within SR

How could is possibly not be? If the one-way speed is isotropic in a given inertial frame, then so must the round-trip speed be isotropic; this applies to all inertial frames.


since LC can shorten/elongate distance in one
direction of path between A and B depending on who measure.

I have no idea what you mean by LC.

In relativity you must be more specific about what you mean by "distance", in particular: in what frame is it measured?


But maybe
it all is a null game where the time dilation actually cancel out the
shortening/elongating.

There is no "time dilation", in the sense of a clock physically ticking slower, or in the sense of "time moving slower". There is no "shortening/elongating", in the sense of a given object physically getting shorter or longer.

The effects called "time dilation" and "length contraction" in SR are not physical effects, and are due to different measurement procedures used by differently moving observers. They are purely geometrical projections of an invariant interval onto a coordinate axis, just as you are familiar with in Euclidean geometry.

If you hold a meterstick parallel to the X axis, it will
subtend 1 meter on the X axis. Hold it at 45 degrees and
it will subtend 0.707 meters on the X axis -- that is "X
contraction" in precisely the same sense that there is
"time dilation" and "length contraction" in SR. But this
example happens in the XY plane, and those other effect
happen in the XT plane. An inclined line in the XT plane
is relative motion, not relative orientation.


Tom Roberts
.



Relevant Pages

  • Re: A simpler question about rotating frames.
    ... "omega" around their COMMON axis z. ... This is true for any rotating system, and is related to the impossibility of synchronizing clocks around a circle when the circle of clocks is rotating relative to any locally-inertial frame. ... That is, it is not possible to have a single coordinate patch that covers the full 2 pi around the axis of rotation. ... This illustrates why one invariably starts with an inertial frame, and discusses motion relative to it, rather than relative to some non-inertial frame. ...
    (sci.physics.relativity)
  • Re: Scalar equaton F(ct, x, y, z) - G(ct, x, y, z) = 0: attn: Tom Roberts
    ... x=-L in some inertial frame for some length L. Let Fbe the ... observed frequency of A, and Gbe the observed frequency of B, ... Now transform to a frame moving along the x axis. ...
    (sci.physics.relativity)
  • Re: Scalar equaton F(ct, x, y, z) - G(ct, x, y, z) = 0: attn: Tom Roberts
    ... they have independent definitions, and do not transform identically, then ... in some inertial frame for some length L. Let Fbe the observed ... frequency of A, and Gbe the observed frequency of B, both at ... Now transform to a frame moving along the x axis. ...
    (sci.physics.relativity)
  • Re: Clock synch
    ... also isotropically c in every inertial frame. ... and are due to different measurement procedures used by ... If you hold a meterstick parallel to the X axis, ... If you understand physics you can say that time and c are not connected. ...
    (sci.physics.relativity)
  • Re: Is Lorentz contraction a real process
    ... no rod "contracts" in any way due to its velocity relative to any ... inertial frame; similarly no clock "dilates" in any way due to its ... Euclidean geometry -- consider the projection of a line segment's length ... X'-Y' coordinate system on the same plane, ...
    (sci.physics.relativity)

Quantcast