Appendix: Radiohalos in a Radiochronological and Cosmological Perspective
Estimates of the Distance from the Milky Way to the Center
Earlier it was implied that the Milky Way could be one of
the innermost galaxies in the RSS model. This view is based on
the assumption that the Milky Way's cosmic galactic velocity
of 550 km/s through the CMR (46) is just the tangential velocity
of the Milky Way (MW) around C. Galactic peculiar motions may
also be of the same nature. On this basis we can compute the
angular velocity ω of the
MW around C from v2 = ω2R2
= GM/R, which leads to the result that ω = 2(πρG/3)½.
For a constant ρ = 10−29g/cm3, then ω
= 5 × 10−11 rad/y, and the distance from C to our
galaxy would be about 3.7 × 107 light-years. (C of
course would be located somewhere in the plane perpendicular
to the direction of the motion of the MW through the CMR.) If
ρ = 10−27g/cm3
then ω = 5 × 10−10
rad/y (or 5 × 10−5 arc-s/y), which means that differential
angular motions of the more distant galaxies (as observed at
the MW) would still be below the present detection limit of light
telescopes (10−3 arc-s/y).
In the latter case the distance from the MW to C is about 3.7
× lO6 light-years and is considered the preferred
value so as reduce potential blueshift effects. This distance
places C outside our galaxy but still in the plane which
is perpendicular to the MW's cosmic velocity vector. No observational
data as yet seems to locate the direction of C in that plane.
On the other hand Orion is in that plane, and is prominently
mentioned in Scripture (Job 9:9; 38:31; Amos 5:8). As a working
hypothesis I suggest that C may lie a few million light years
beyond Orion. One density used in the preceding calculations
is higher than current estimates but, as previously noted, Ellis
(52) has suggested there may be a large amount of undetected
mass/energy which may raise the value to more than 10−24
g/cm3. On this basis the higher density
estimate is not unreasonable. In the RSS model the value of
the density cannot much exceed 10−26
g/cm3 or else the angular velocity will increase to
the point where differential motions of distant galaxies would
be observed.
The RSS Model and Olber's Paradox
We briefly digress to note that Olber's Paradox is resolved
if the universe is structured according to the RSS model because
the finite number of galaxies within a sphere of radius R' will
only produce a finite light flux at the Milky Way. Even if there
is luminous matter beyond R', the density is assumed to diminish
so rapidly that the light flux received at the Milky Way from
beyond R' will also be finite.
The RSS Model and Varshni's Analysis of Quasar Redshifts
In the context of the present proposal for the structure of
the universe it is most appropriate to refer to Varshni's
(53) investigation of the redshift distribution
of 384 quasars. From a probability analysis of those 384 quasars
he [p. 291] found an astounding 57 sets of redshift coincidences within
small redshift intervals. Varshni calculates the probability of
chance coincidence of these groups to be about 10−85.
He concludes that if quasar redshifts are real (he thinks they
are not) and are of cosmological origin (i.e., distance related),
then the only logical deduction from the data is, in his own
words, as follows:
The Earth is indeed the center of the Universe.
The arrangement of quasars on certain spherical shells is
only with respect to the Earth. These shells would disappear
if viewed from another galaxy or a quasar. This means that
the cosmological principle will have to go. Also, it implies
that a coordinate system fixed to the Earth will be a preferred
frame of reference in the Universe. Consequently, both the
Special and the General Theory of Relativity must be abandoned
for cosmological purposes.
These deductions are amazingly similar to the deductions
of the RSS model except that, first, the earth, or MW, is
only astronomically close to rather than being exactly at the
Center, and, second, the absolute reference frame is defined
by the CMR and not the position of the earth. And from earlier
discussions in this article, it should now be clear that the
special and the general theory of relativity are not credible
theories in the RSS model. In fact, as shown below, if anything
it now appears that the results of one of the most celebrated
experiments in the history of physics contradict the basic
premises of both special and general relativity so directly
that, to me at least, it seems these theories are no longer
tenable. As noted earlier, however, just because special and
general relativity are shown to be untenable does not invalidate
all the mathematical results obtained by these theories. It
suggests rather that there must exist an absolute space-time
framework which would encompass all the results of relativity
which do accord with experiment, but different results where
relativity theory makes incorrect predictions. Several
investigations pertaining to this alternative framework have
already been cited (42-44).
In addition we should also mention Clube's (54)
work and his exchanges with others (55) on
neo-Lorentzian relativity.
The RSS Model, the CMR, and the Theory of Relativity
Clube's (54) explanation for the CMR is
undergirded by the assumption of a non-relativistic Lorentz
invariant material vacuum. It is intriguing to consider that
the CMR may be the result of emissions from a cold material
vacuum. On a related matter, Clube cites other work (56)
as evidence that observations are not at all inconsistent with
an essentially Euclidean infinite cosmos. Certainly these ideas
appear easily reconcilable with the RSS model since they assume
the existence of an absolute reference frame. However, the
details of Clube's theory have yet to be worked out so it is
premature to make any claims until further work is done. Of
course there is also the possibility that the CMR may be a part
of the 'light' that was created in Gen. 1:3. Interestingly, Weisskopf
(45) alludes to that very possibility in the
closing paragraph of his recent article:
Indeed, the Judeo-Christian tradition describes the
beginning of the world in a way that is surprisingly similar to
the scientific model. Previously, it seemed scientifically unsound
to have light created before the sun. The present scientific view
does indeed assume the early universe to be filled with various
kinds of radiation long before [p. 292] the sun was created. The Bible
says about the beginning: "And God said, 'Let there be light';
and there was light. And God saw the light, that it was good."
Irrespective of how it originated, the most important fact about
the CMR is that it represents unequivocal evidence of an absolute
reference frame in the universe, a very necessary condition in the
RSS model, but an inconsistent condition for the relativistic foundations
of the Big Bang model. To explicitly show exactly how this inconsistency
arises, it is most helpful to include another quote from Weisskopf's recent article:
It is remarkable that we now are justified in talking about an
absolute motion, and that we can measure it. The great dream of
Michelson and Morley is realized. They wanted to measure the absolute
motion of the earth by measuring the velocity of light in different
directions. According to Einstein, however, this velocity is always
the same. But the 3K radiation represents a fixed system of coordinates.
It makes sense to say that an observer is at rest in an absolute sense
when the 3K radiation appears to have the same frequencies in all
directions. Nature has provided an absolute frame of reference. The
deeper significance of this concept is not yet clear.
With all due respect to my eminent colleague I suggest the meaning of
this fact is not obscure at all. I suggest the evidence (the CMR) which
has received worldwide acclaim as confirmation of the Big Bang is in
reality its death knell for, ironically, it is now clear that the existence
of the CMR essentially falsifies the fundamental postulates of the theory
of relativity. The logic is quite straightforward. Referring to the last
quotation by Weisskopf, we note he mentions the famed Michelson-Morley
experiment, which achieved only a null result.
Lorentz's efforts to explain this null result on the basis of an absolute
reference frame were supposedly untenable. The real explanation, according
to almost every physics textbook written in the past 60 years, was given
by the theory of relativity, namely that: Given the null result of the
Michelson-Morley experiment, if the fundamental principles of relativity are true,
then there is no absolute reference frame. But the CMR is an absolute
reference frame, so the original relativistic deductions about the
Michelson-Morley experiment are in error. More precisely, since logic
requires the contrapositive of a statement to be equivalent to the statement
itself, the preceding "if relativity is true, then no absolute reference frame"
statement must be equivalent to "if an absolute reference frame exists, then
the fundamental principles of relativity are untrue." In simpler terms
the theory of relativity has been falsified because a major prediction of
the theory is now known to be contradicted by an unambiguous experimental result.
Without relativity theory there is no Big Bang, no Hubble relation for the
redshift, and no explanation for the CMR in an evolutionary cosmological model.
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