Re: SR and circular logic - explanation?
Pentcho Valev
sci.physics.relativity:
> The "time dilation" of SR occurs when one uses multiple clocks at rest
> in an inertial frame to measure the tick rate of a single moving clock.
Correct, Honest Roberts. Einstein's 1905 false light postulate does
indeed produce such a conclusion. Now an interesting development: you
have multiple clocks fixed on the periphery of the rotationg disc and
a single non-rotating clock placed outside the disc, in the vicinity
of the rotating periphery. Also, by increasing the diameter of the
disc and keeping the linear speed of the periphery constant, you
reduce the "gravitational field" experienced by the multiple clocks
fixed on the rotating periphery to zero. That is, those clocks are
virtually inertial. Will the single non-rotating clock run slower than
the multiple clocks fixed on the rotating periphery, in accordance
with Einstein's 1905 false light postulate? If yes, you may find it
suitable to revise Einstein's "classical" interpretation (see below)
by using REDUCTIO AD ABSURDUM:
http://www.bartleby.com/173/23.html
Albert Einstein: "Let us consider a space-time domain in which no
gravitational fields exists relative to a reference-body K whose state
of motion has been suitably chosen. K is then a Galileian reference-
body as regards the domain considered, and the results of the special
theory of relativity hold relative to K. Let us suppose the same
domain referred to a second body of reference K', which is rotating
uniformly with respect to K. In order to fix our ideas, we shall
imagine K' to be in the form of a plane circular disc, which rotates
uniformly in its own plane about its centre. An observer who is
sitting eccentrically on the disc K' is sensible of a force which acts
outwards in a radial direction, and which would be interpreted as an
effect of inertia (centrifugal force) by an observer who was at rest
with respect to the original reference-body K......To start with, he
places one of two identically constructed clocks at the centre of the
circular disc, and the other on the edge of the disc, so that they are
at rest relative to it. We now ask ourselves whether both clocks go at
the same rate from the standpoint of the non-rotating Galileian
reference-body K. As judged from this body, the clock at the centre of
the disc has no velocity, whereas the clock at the edge of the disc is
in motion relative to K in consequence of the rotation. According to a
result obtained in Section XII, it follows that the latter clock goes
at a rate permanently slower than that of the clock at the centre of
the circular disc, i.e. as observed from K."
Pentcho Valev
pva...@yahoo.com