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Dear forum members, may I post on this Forum my questions about GR and a brief description and link to my work in which they are answered?
Questions of General Relativity (Also posted on the Special and General Relativity Forum)
1. In the presence of gravitational fields the Einstein
Equivalence Principle (EEP) is a necessary and sufficient condition
for the Principle of Relativity, (PR). Here I summarise PR as the
doctrine of no preferred frames of reference. In the absence of such
fields the EEP becomes meaningless, although then the PR does come
into its own and is appropriate in Special Relativity (SR), which was
formulated for such an idealised case. However, if we now re-
introduce gravitational fields, i.e. gravitating masses, do we not
then find that the PR collapses? For in that case is it not possible
to identify preferred frames of reference? Such frames being those of
the Centre of Mass (CoM) of the system in question and the universe
as a whole, (that in which the Cosmic Microwave Background is
globally isotropic.) The CoM is preferred in the sense that only in
that frame of reference, that is the centroid measured in the frame
co-moving with the massive system, is energy conserved as well as
energy-momentum. But if the PR is not valid in the presence of
gravitational masses then surely the EEP cannot be either?
2. According to the EEP a stationary electron on a laboratory
bench is accelerating w.r.t. the local Lorentzian freely falling
inertial frame of reference. According to Maxwell's theory of
electromagnetism an accelerating electric charge, such as an
electron, radiates. So why doesn't it? Or, if it is thought that such
an electron actually does radiate, what is the source of such
radiated energy? However, note that in the preferred CoM frame of
reference the electron is not accelerating.
3. Should not gravitational time dilation apply equally both to
photons and the atoms they interact with? If so whence gravitational
red shift?
4. Should not the total relativistic energy, measured in the
system's CoM, of a freely falling body, be conserved as no work is
being done on or by it?
5. In order for a gravitational theory to be consistent with SR
should not the rest mass of a body include its gravitational
potential energy? In which case questions 3 & 4 are resolved;
gravitational red shift is not caused by the photon losing energy but
by the measuring apparatus gaining it. Yet the EEP forbids it to do
so, for according to the EEP rest mass is invariant.
6. In the normal expanding cosmological solution of General
Relativity (GR) what exactly is expanding? If it is space-time
itself, as demanded by the theory, then what expands with it? As the
Schwarzschild solution for gravitational orbits is embedded in that
space-time should not its solutions co-expand? Also as the
Bohr/Schrödinger/Dirac equations of atomic physics are also so
embedded then should not their solutions expand? If, as a
consequence, gravitational orbits and atoms together with the
physical rulers constructed of those atoms so co-expand with the
universe, then surely there would be no detectable expansion?
Therefore cosmological red shift cannot be caused by recession, but,
in a similar way to the case of gravitational red shift, it might well be
caused by the measuring apparatus, that is all fundamental particles,
secularly gaining inertial mass.
May I bring your attention to an alternative geometric gravitational
theory, 'The New Self Creation Cosmology' (SCC), which was published
in 2002?
The original SCC paper was published in 1982 with now over 45
citations (see paper vi below). In that paper cosmologies were
explored in which the matter field might be created out of self
contained gravitational and scalar fields. Two theories were
postulated, the first was rejected on the grounds of experimental
violation of the equivalence principle, and the second was an early
version of the present theory.
SCC theories are an adaptation of the Brans Dicke theory in
which the conservation requirement is relaxed to allow the scalar
field to interact with matter. If the Brans Dicke theory can be
thought of as GR + Mach's Principle, the latest SCC can be thought of
as GR + Mach's Principle + Local conservation of energy.
In the new theory test particles in solar system experiments are
found to follow the geodesics of GR, so the predictions of GR and SCC
already tested are equal; although there are three experiments that
would distinguish between the two theories. One such experiment is
the Gravity Probe B geodetic precession experiment launched on April
20th 2004. (SCC predicts a geodetic precession 5/6 of GR, but a frame
dragging precession equal to that of GR. - see paper iv below)
In the Jordan Frame of SCC energy is conserved but energy-
momentum is not. Photons are the means of measuring length, time and
mass. Particle proper masses increase with gravitational potential
energy and as a consequence cosmological red shift is caused by a
secular, exponential, increase of particle masses and not
cosmological expansion. The universe is static (with atomic
rulers 'shrinking' exponentially) and eternal (with atomic
clocks 'speeding up' exponentially).
In the Einstein Frame of SCC energy-momentum is conserved and
particle proper masses are invariant. Atoms are the means of
measuring length, time and mass. As the scalar field adapts the
cosmological equations the universe expands linearly, it is a "freely
coasting" universe which has remarkable concordance with observed
cosmological constraints. (See papers by Gehaut, Lohiya et al.)
Furthermore the cosmological solution requires the universe to have
an overall density parameter of only one third.
A 'time-slip' exists in SCC between atomic 'clock' time on one
hand and gravitational ephemeris and cosmological time on the other,
which would result in an apparent sunwards acceleration of the
Pioneer spacecraft as indeed is observed.
Hence the theory does not require dark energy, or a significant
amount of dark matter, or quintessence, to account for the present
cosmological constraints.
The Jordan Energy Frame of SCC the EEP does not hold, except at the
CoM of the system. Rest mass increases with gravitational potential
energy and secularly increases, exponentially, with cosmological time.
All the above questions are thus answered.
Garth
The relevant SCC papers are:
i. [The original paper, Barber, G.A. : 1982, Gen Relativ Gravit.
14, 117. 'On Two Self Creation Cosmologies'.]
ii "'A New Self Creation Cosmology, a 'semi-metric' theory of
gravitation'," http://www.kluweronline.com/oasis.htm/5092775,
Astrophysics and Space Science 282: 683–730, (2002).
but the new theory can be recovered in five electronic preprints
that followed;
iii "The Principles of Self Creation Cosmology and its Comparison
with General Relativity",
http://arxiv.org/abs/gr-qc/0212111
iv "Experimental tests of the New Self Creation Cosmology and a
heterodox prediction for Gravity Probe B", http://arxiv.org/abs/gr-
qc/0302026 .
v. 'The derivation of the coupling constant in the new Self
Creation Cosmology',
http://arxiv.org/abs/gr-qc/0302088 .
vi "The Self Creation challenge to the cosmological concordance
model"
http://arxiv.org/abs/astro-ph/0401136 .
and
v "Self Creation Cosmology - An Alternative Gravitational Theory"
http://arxiv.org/abs/gr-qc/0405094 to be published in 'Progress in
General Relativity and Quantum Cosmology Research', Nova Science
Publishers, Inc. New York.
I would be very grateful of any observations and
criticisms of these papers,
June 2004
Questions of General Relativity (Also posted on the Special and General Relativity Forum)
1. In the presence of gravitational fields the Einstein
Equivalence Principle (EEP) is a necessary and sufficient condition
for the Principle of Relativity, (PR). Here I summarise PR as the
doctrine of no preferred frames of reference. In the absence of such
fields the EEP becomes meaningless, although then the PR does come
into its own and is appropriate in Special Relativity (SR), which was
formulated for such an idealised case. However, if we now re-
introduce gravitational fields, i.e. gravitating masses, do we not
then find that the PR collapses? For in that case is it not possible
to identify preferred frames of reference? Such frames being those of
the Centre of Mass (CoM) of the system in question and the universe
as a whole, (that in which the Cosmic Microwave Background is
globally isotropic.) The CoM is preferred in the sense that only in
that frame of reference, that is the centroid measured in the frame
co-moving with the massive system, is energy conserved as well as
energy-momentum. But if the PR is not valid in the presence of
gravitational masses then surely the EEP cannot be either?
2. According to the EEP a stationary electron on a laboratory
bench is accelerating w.r.t. the local Lorentzian freely falling
inertial frame of reference. According to Maxwell's theory of
electromagnetism an accelerating electric charge, such as an
electron, radiates. So why doesn't it? Or, if it is thought that such
an electron actually does radiate, what is the source of such
radiated energy? However, note that in the preferred CoM frame of
reference the electron is not accelerating.
3. Should not gravitational time dilation apply equally both to
photons and the atoms they interact with? If so whence gravitational
red shift?
4. Should not the total relativistic energy, measured in the
system's CoM, of a freely falling body, be conserved as no work is
being done on or by it?
5. In order for a gravitational theory to be consistent with SR
should not the rest mass of a body include its gravitational
potential energy? In which case questions 3 & 4 are resolved;
gravitational red shift is not caused by the photon losing energy but
by the measuring apparatus gaining it. Yet the EEP forbids it to do
so, for according to the EEP rest mass is invariant.
6. In the normal expanding cosmological solution of General
Relativity (GR) what exactly is expanding? If it is space-time
itself, as demanded by the theory, then what expands with it? As the
Schwarzschild solution for gravitational orbits is embedded in that
space-time should not its solutions co-expand? Also as the
Bohr/Schrödinger/Dirac equations of atomic physics are also so
embedded then should not their solutions expand? If, as a
consequence, gravitational orbits and atoms together with the
physical rulers constructed of those atoms so co-expand with the
universe, then surely there would be no detectable expansion?
Therefore cosmological red shift cannot be caused by recession, but,
in a similar way to the case of gravitational red shift, it might well be
caused by the measuring apparatus, that is all fundamental particles,
secularly gaining inertial mass.
May I bring your attention to an alternative geometric gravitational
theory, 'The New Self Creation Cosmology' (SCC), which was published
in 2002?
The original SCC paper was published in 1982 with now over 45
citations (see paper vi below). In that paper cosmologies were
explored in which the matter field might be created out of self
contained gravitational and scalar fields. Two theories were
postulated, the first was rejected on the grounds of experimental
violation of the equivalence principle, and the second was an early
version of the present theory.
SCC theories are an adaptation of the Brans Dicke theory in
which the conservation requirement is relaxed to allow the scalar
field to interact with matter. If the Brans Dicke theory can be
thought of as GR + Mach's Principle, the latest SCC can be thought of
as GR + Mach's Principle + Local conservation of energy.
In the new theory test particles in solar system experiments are
found to follow the geodesics of GR, so the predictions of GR and SCC
already tested are equal; although there are three experiments that
would distinguish between the two theories. One such experiment is
the Gravity Probe B geodetic precession experiment launched on April
20th 2004. (SCC predicts a geodetic precession 5/6 of GR, but a frame
dragging precession equal to that of GR. - see paper iv below)
In the Jordan Frame of SCC energy is conserved but energy-
momentum is not. Photons are the means of measuring length, time and
mass. Particle proper masses increase with gravitational potential
energy and as a consequence cosmological red shift is caused by a
secular, exponential, increase of particle masses and not
cosmological expansion. The universe is static (with atomic
rulers 'shrinking' exponentially) and eternal (with atomic
clocks 'speeding up' exponentially).
In the Einstein Frame of SCC energy-momentum is conserved and
particle proper masses are invariant. Atoms are the means of
measuring length, time and mass. As the scalar field adapts the
cosmological equations the universe expands linearly, it is a "freely
coasting" universe which has remarkable concordance with observed
cosmological constraints. (See papers by Gehaut, Lohiya et al.)
Furthermore the cosmological solution requires the universe to have
an overall density parameter of only one third.
A 'time-slip' exists in SCC between atomic 'clock' time on one
hand and gravitational ephemeris and cosmological time on the other,
which would result in an apparent sunwards acceleration of the
Pioneer spacecraft as indeed is observed.
Hence the theory does not require dark energy, or a significant
amount of dark matter, or quintessence, to account for the present
cosmological constraints.
The Jordan Energy Frame of SCC the EEP does not hold, except at the
CoM of the system. Rest mass increases with gravitational potential
energy and secularly increases, exponentially, with cosmological time.
All the above questions are thus answered.
Garth
The relevant SCC papers are:
i. [The original paper, Barber, G.A. : 1982, Gen Relativ Gravit.
14, 117. 'On Two Self Creation Cosmologies'.]
ii "'A New Self Creation Cosmology, a 'semi-metric' theory of
gravitation'," http://www.kluweronline.com/oasis.htm/5092775,
Astrophysics and Space Science 282: 683–730, (2002).
but the new theory can be recovered in five electronic preprints
that followed;
iii "The Principles of Self Creation Cosmology and its Comparison
with General Relativity",
http://arxiv.org/abs/gr-qc/0212111
iv "Experimental tests of the New Self Creation Cosmology and a
heterodox prediction for Gravity Probe B", http://arxiv.org/abs/gr-
qc/0302026 .
v. 'The derivation of the coupling constant in the new Self
Creation Cosmology',
http://arxiv.org/abs/gr-qc/0302088 .
vi "The Self Creation challenge to the cosmological concordance
model"
http://arxiv.org/abs/astro-ph/0401136 .
and
v "Self Creation Cosmology - An Alternative Gravitational Theory"
http://arxiv.org/abs/gr-qc/0405094 to be published in 'Progress in
General Relativity and Quantum Cosmology Research', Nova Science
Publishers, Inc. New York.
I would be very grateful of any observations and
criticisms of these papers,
June 2004
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