Natural Science Forum / Physics / Relativity / May 2006

SR's time dilation derivations: synopsis

Step One
======
Einstein (1905) develops his BEER (Basic Equations of Einstein's Relativity)
and moves one absurdity beyond by asking what is the formula for t' at the
ever-changing x-location of the moving origin.

By substituting from x=vt, thus, he got t' = t/g, which says
dilation/slowing: the moving system t' is less than the stationary system t,
what with g=gamma always being one or greater.

Using the same method, picking out a location-x and substituting in t' =
g(t-vx/cc) we can get the opposite result, time contraction/speeding, and
should.

See "Einstein's dilation derivation:  ROFFLMFAO!".

Step Two
=======
H. Minkowski (1908) took Albert's SR and excreted on it. Where Einstein was
not dumb enough to think space and time some kind of aspect of each other,
Minkowski said: "time and space must fade away".

The result was the space-time fiasco, and the idea that neither the interval
between times nor the interval between locations were meaningful in and of
themselves. Instead, one must consider the space-time interval between some
(x2,t2) 'event' and some other event, (x1,t1) and the corresponding
(x2',t2') and (x1',t1') space-time interval between events.

Taking these events into account, it again is time contraction/speeding that
the BEER call for.

NOT time dilation/slowing.

See "SRian 'events' versus SRian dilation: ROFFLMFAO!".

Step Three
=======
'Proper Time'.

Why, the puzzled student may have asked, do SR texts show derivations
(screwed up derivations; see "SRian derivations of the BEER; synopsis") from
the primed coordinates (supposedly the 'moving' system coordinates) to the
unprimed coordinates (supposedly the 'stationary' system coordinates)?

The answer lies in 'proper time', in which one calculates with the primed
coordinates representing a stationary system's measures, and the unprimed
coordinates representing the moving system values.

This results in the idea that T'=T/gamma, "it takes more unprimed time than
primed time to measure a time interval", and thus, maintaining the fiction
that the primed values are moving system values, supports the idea of time
dilation/slowing.

However, using M for moving system values and S for stationary system
values, this is the same M/gamma=S that straightforward event-interval
calculations give us: time contraction/speeding in the moving system.

See "SRian "proper time" versus time dilation:  ROFFLMFAO!".

Step Four
=======
"Path Integral"

The path integral calculation that supports the idea that there is time
dilation/slowing for the famous travelling twin is just another form of
proper time calculation, just another fraudulent confabulation of primed
coordinates and 'stationary' sustem values. And, of course, completely
violates the Principle of Relativity, which says that what applies to the
moving twin also applies to the stationary twin.

See "The Twins "path integral" dilation: ROFFLMFAO!".

Discussion
=======
Whether or not there is a time effect of relative motion, it cannot be
Einstein's.  All derivations of the BEER are absurd, either reasoning in
circles or asserting logical contradictions or other algebraic absurdities.

See "SRian derivations of the BEER; synopsis".

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