Bjoern Feuerbacher wrote:
Spoonfed wrote:
[snip all]
Is your model consistent with General Relativity? If yes, what metric
are you using? If no, what other theory of gravity (Newtons?) are you
using?
Bye,
Bjoern
My model is compatible with General Relativity, assuming the Freidmann
metric refers to proper-time and local density, and not to
coordinate-time and universal density.
However, most of the observable redshift effects are due to recession
velocity, whereas the infalling of matter to form stars and galaxies is
due to the General Relativistic gravitational effects described by
Schwarzchild.
Ben Rudiak Gould gave me this link
http://en.wikipedia.org/wiki/Friedmann_equation and determined that my
model was a k=-1, a(t)=t model. It should be noted that this t
represents proper-time, not coordinate time.
Assuming rho=0 and Lambda=0 (see below), k=-1, and a(t)=t, the
Friedmann equation simplifies to H^2=(1/t)^2 where t is the proper-time
of an inertial observer since the big bang event.
I assume Lambda=0 because my model assumes no vacuum energy.
I have not precisely determined the function rho(t), but I believe it
is nearly zero for high t. If I am not mistaken, Linear density can be
taken to be 1/d where d is the distance to nearest particle. Then the
volume density is going to be somewhere around (1/d^3). The nearest
particle probably moving at a momentum determined by it's mass and the
Planck energy. Anyway, I believe that (8/3)Pi*G*rho(t) ~ n/t^3, where
n is a very small number and t is the proper age of the particle in
question, and can be neglected for t1 million years or so. Since the
scale of my diagram represents 45,000 million years, this would barely
be noticeable.
Thus the Friedmann_equation is approximated in my model by
H^2 = 1/(proper time)^2
During any acceleration event, such as event E, in the diagram,
http://www.spoonfedrelativity.com/fi...2005-09-07.JPG
the symmetry is broken, so Hubble's Constant should become dependent on
direction. However, because such a large amount of matter was affected
by event E, the region in E's light cone appears to have almost the
same symmetry as the original Big Bang.