Sue: paraphrase style in brackets [].
Woodward:
Roughly, the modern instantaneous action argument
goes as follows. In general relativity theory
matter "there" tells space "here" how to curve,
Sue:
[induced dipoles there tell induced dipoles here their shape]
and space "here" tells matter "here" how to move.
Sue:
[induced dipoles here attract induced dipoles there]
(Matter "here" also tells space "there" how to curve.)
Thus, in order to talk about any situation in dynamics
we must specify the distribution and motion of matter
throughout space. (Strictly speaking, we must provide
"initial data" on some suitably chosen "three dimensional
spacelike hypersurface".) The usual field equations for
gravity (Einstein's equations) are not enough, by
themselves, to do this it turns out. Because of the
finite propagation velocity built into them, we might
specify some distribution of matter that subsequently
leads to idiotic results. To make sure this doesn't
happen, our distribution of matter has to satisfy some
additional equations called "constraint" equations.
The neat thing about these constraint equations is that,
unlike the field equations, they're instantaneous.
(Technically, they're "elliptic" rather than "hyperbolic"
differential equations.) It's then claimed that inertia
is conveyed by the constraint equations -- instantaneously.
The use of constraint equations to communicate real physical
influences instantaneously is justified by appeal to the
instantaneous propagation of stationary electric fields
in the Coulomb gauge.
Appologies to:
James F. Woodward
http://chaos.fullerton.edu/~jimw/general/inertia/
http://chaos.fullerton.edu/~jimw/gen...ertia/nord.htm
The mystery in such a substitution is what mechanism
similar to...
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RA AR
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http://www.elmhurst.edu/~chm/vchembo...ntermolec.html
http://web.umr.edu/~gbert/INTERACT/intermolecular.HTM
http://polymer.bu.edu/Wasser/robert/work/node9.html
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....what mechanism can increase the attractive force
before an object and decrease the attractive force
behind an object, in proportion to the applied force
of acceleration?
Sue...
http://hyperphysics.phy-astr.gsu.edu...ric/elepe.html
http://hyperphysics.phy-astr.gsu.edu...ic/elefor.html
http://arxiv.org/abs/physics/0204034
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