Hi:
The following is an interesting quote: see my remarks and cautions afterward:
"There's really no ambiguity here---I can't imagine why,
looking at the equations, you would think there was.
In these exact solutions, gravity propagates at c, in the following
precise sense. Start with a ``source'' and a ``target'', and examine
the effect of the source on the target at time t, in any coordinate
system you want. There is some earlier time t' such that light
emitted from the source at time t' will have just reached the
target at time t. (Technically, t' is the intersection of the source
world line with the past light cone of the target at time t.) Then
in these solutions, nothing that happens to the source after time t'
can affect the target at time t.
In fact, this is a universal feature of general relativity, as long as
space time is globally hyperbolic (which means, roughly, that
nothing can move backwards in time). There's a nice proof by
Low in Class.Quant.Grav.16 (1999) 543.
To reiterate: it is an exact feature of general relativity, both of the
field equations and of the exact solutions representing moving bodies, that no gravitational influence travels faster than light.
If you have a theory that predicts otherwise, it is not general
relativity. Period."
POINT NUMBER ONE:
Lets face it: a theory of gravity (GR) good to better than 30 decimal
places is pretty darn GOOD. Yet, scientists know that within the Planck
realm, we cannot use GR. This is a very good example of a situation where
a theory of gravity can be experimentally verified right up to the
limits of technology- and beyond- yet possibly be WRONG. THERE IS A PART OF THE
REAL UNIVERSE WHERE GENERAL RELATIVITY DOES NOT WORK, AND CANNOT BE USED...
AND IT IS IN THIS VERY REGION THAT WE FIND GRAVITY.
POINT NUMBER TWO:
IA SUPERNOVA RESULTS WITH ACCELERATION OUTWARD INDICATE THAT
SPACE TIME IS,WITH A HIGH PROBABILITY MARGINALLY CLOSED
AND SPHERICAL...NOT HYPERBOLIC (ALTHOUGH EVEN HYPERBOLIC SPACE
CAN BE CLOSED).The formulae of General Relativity are themselves
based on spherical geometry and periodic momentum. It is
difficult to understand how one minute we can discuss the relationships
of objects in orbital free fall around the Earth, and in the next breath offer a
cosmology based
on hyperbolic space. This is especially true since we are almost
certain that space is observationally FLAT...exactly what higher
dimensional GR predicts. Note the person in the quote above uses
the word "globally" (relating to spherical geometry). I'm aware,
of course of the place of the hyperbola in spherical geometry, but
there is a basic conceptual problem involved in talking about space
in an entire General Relativity universe being "globally hyperbolic".
POINT NUMBER THREE:
ACTION AT A DISTANCE IS A SCIENTIFICALLY OBSERVED PHENOMENON and
has been reverified by recent experimental work.
POINT NUMBER 4:
PHOTONS DON'T "MOVE" WITH RESPECT TO EACH OTHER BECAUSE (in this model) THEY ARE
PART OF THE SAME THING. What a "photon" (white hole, doing work, entropy
reducing phenomenon) is observed to be is a matter of ones frame of reference in the "two/sphere".
POINT NUMBER 5:
IN THE SUBMICROSCOPIC PLANCK WORLD, MATTER TAKES SINGULAR
CHARACTERISTICS, AND SINGULARITY IS A TIMELESS, ALBEIT VERY
REAL ENTITY. Alan Guth devised "inflation" in the "Planck Era"
as a means of creating a workable model of cosmic expansion. To avoid
contradicting
GR, he made sure he KEPT inflation in the Planck Era! In the Einsteinian
static universe, we must remember that the Planck Era is still there,
below 10 to the -33rd Cm. EVERYWHERE..all the time. Guths brief almost
infinitely rapid
expansion of the universe (suspension of time) is conceptually linked to Flanderns
instant communication of gravity! In that matter, Flandern is in good
company. Sir Isaac Newton also intuitively felt that gravity was
instantly propagated! Dr. Newtons intuition matches up very nicely
with modern mathematical concepts about singularity. As I already
said, the fact that GR gravity works so well is not really, in this case,
a good reason to trust
it conceptually as an accurate reflection of cosmic reality.
Somehow, some day, science must come to grips with the "Horizon Problem".
A good dose of conceptual consistency, and applying what we know about
singularity and the quantum realm from observation and experience will,
I'm sure
lick this critical "problem" once and for all.
REGARDS...Sam Cox
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