Re: Length "contraction" and time "dialation" bad language.

Baugh:
>
>Pardon my sloppy antecedents. Length contraction and time dilation
>where used to explain negative aether detection. But you have to
>introduce the "increasing mass" to keep the conservation of spatial
>momentum consistent with these effects.
>
>But, like you, I'm unsure if this was made apparent before Einstein's
>reinterpretation.

Lorentz seems to have introduced the concept of ``transverse''
and ``longitudinal'' mass in connection with his theory. I think
the term ``relativistic mass'' came into vogue when the first
cyclotrons requiring relativistic corrections were built. Since
all of the parameters that are adjusted to obtain the cyclotron
resonance are measured and adjusted in the lab frame, the simplest
place to include the factor of \gamma in the most transparent way
is in the mass of the accelerated ion:

B\rho = p/q

The radius disappears, since the cyclotron is circular, giving

B = mw/q

w is fixed by the rf system, q is fixed by the charge state of the ion and
B is what gets varied as a function of the radius. For any given radius,
the velocity is fixed by v = wr, independent of the ion species. Since
this is one instance where one wants numbers in a particular frame rather
than invariants, absorbing the \gamma into the mass is the user friendly
way to do it.

Of course, usefulness should not be equivocated with theoretical
validity as happens to some extent on this newsgroup. The general
antagonism toward relativistic mass on this newsgroup is a reaction to the
general kookiness which could be summarized as, ``If it's possible to
misunderstand something, some kook will build a personal theory around the
misunderstanding and cross post it to all of sci.physics.*.''


.

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