Re: Twin Paradox Question
- From: "Sue..." <suzysewnshow@xxxxxxxxxxxx>
- Date: 10 Dec 2005 15:14:20 -0800
Bob wrote:
> Let them both view the moons continuously. The earthbound observer
> sees certain periods (p1, p2, ...,pn) always. The outbound traveller
> sees (p1+delta, p2+delta,...pn+delta) and inbound
> (p1-delta,...,pn-delta). When the twins reunite, they have counted the
> same number of periods. OK, I haven't done Lorentz transformations in
> many years, so I can't give the formulae (yet) for the deltas, but I
> think that's the gist of it.
Mathematics aside, neither you nor the theory offers a
mechanism for the twins to disagree on the number of orbits.
So I see no logical argument that their birthday candles
should differ when they reunite.
The mathematics is used to show:
<<that in reality there is not the least incompatibility between the
principle of relativity and the law of propagation of light, and that
by
systematically holding fast to both these laws a logically rigid theory
could be arrived at. >> --AE
http://www.bartleby.com/173/7.html
Did I mention that does not apply in the Coulomb gauge?
http://arxiv.org/abs/physics/0204034
It is much easier to muze about twins than polish up on the
electromagnetic theory necessary to understand relativity
but you claim seriousness so here is some hard but
serious material.
http://farside.ph.utexas.edu/teaching/em1/lectures/node46.html
http://webhttp://farside.ph.utexas.edu/teaching/jk1/lectures/node13.html
http://arxiv.org/abs/physics/0204034
http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm
http://en.wikipedia.org/wiki/Multiple_integral
..mit.edu/8.02t/www/802TEAL3D/teal_tour.htm
BTW... Weber's field equations are relativistic without funny clocks.
Their study can help you understand the tricks that are necessary
for Maxwell's equations:
http://www.ifi.unicamp.br/~assis/wpapers.htm
Good luck with your grad program.
Sue...
.
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