Re: Simple Sagnac


<bsr3997@xxxxxxxxxxx> wrote in message
news:1124075728.231384.320960@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
| Which is why you don't use SR for rotating systems.

Ref: http://www.fourmilab.ch/etexts/einstein/specrel/www/
If at the points A and B of K there are stationary clocks which,
viewed in the stationary system, are synchronous; and if the clock
at A is moved with the velocity v along the line AB to B, then on its
arrival at B the two clocks no longer synchronize, but the clock
moved from A to B lags behind the other which has remained at B
by (1/2)tv^2/c^2 (up to magnitudes of fourth and higher order),
t being the time occupied in the journey from A to B.
It is at once apparent that this result still holds good if the clock
moves from A to B in any polygonal line, and also when the points
A and B coincide.
If we assume that the result proved for a polygonal line is also valid
for a continuously curved line, we arrive at this result: If one of two
synchronous clocks at A is moved in a closed curve with constant
velocity until it returns to A, the journey lasting t seconds, then by
the clock which has remained at rest the travelled clock on its arrival
at A will be (1/2)tv^2/c^2 slow.
[end quote]


Looks like neither of you have a clue.

Androcles


.

Relevant Pages

  • Re: Simple Sagnac
    ... |> | Which is why you don't use SR for rotating systems. ... |> viewed in the stationary system, are synchronous; and if the clock ... |> arrival at B the two clocks no longer synchronize, ... |> velocity until it returns to A, the journey lasting t seconds, then ...
    (sci.physics.relativity)
  • Re: The real real twin paradox.
    ... So what does relativity say happens when you change frames? ... the two clocks no longer synchronize, but the clock moved from A to B ... velocity until it returns to A, the journey lasting t seconds, then by ...
    (sci.physics.relativity)
  • Re: Simple Sagnac
    ... Androcles wrote: ... > | Which is why you don't use SR for rotating systems. ... > viewed in the stationary system, are synchronous; and if the clock ... > moved from A to B lags behind the other which has remained at B ...
    (sci.physics.relativity)
  • Re: I Owe Einstein an Apology. Sorry Albert!
    ... and if the clock at A is moved with ... clocks no longer synchronize, but the clock moved from A to B leads in ... velocity until it returns to A, the journey lasting t seconds, then by ... at A will be tv^2/c^2 second fast. ...
    (sci.physics.relativity)
  • Re: The Most Rigid Taboo in Relativity
    ... > constant speed in a closed curve" is a well-defined frame? ... do you think that Einstein's problem of "a clock moved in a closed ... there exists extensive literature on rotating systems as well as ... on rotating frames. ...
    (sci.physics.relativity)