In the burst of elementary particles, a brainy figure gestures in exaltation
in the posture of Centaurus, waving his hands over a cross of
Cartesian coordinates and a factor of 4. For a larger version, see [3].
After leaving Clearwater in 1991 and returning to Wichita, Kansas, I
focused my mind for a time on ultimate equations of
theoretical physics, and discovered overthrow theorems for classical
general relativity by concentrating on Einstein's Ricci tensor
field equations in Cartesian coordinates. I made a study of The Meaning of Relativity by Einstein, in which he reveals how to put the geodesic equation of motion into an electromagnetic form like
F = m[Egrav + v x (curl Agrav)] = m[Egrav + v x Bgrav]
to first order. I noted that his weak-field equations lead to an apparent violation
of the conservation equations [1], namely the equation of continuity. Also, the extra factor of 4
I discovered in the Einstein GR solutions for the grav-magnetic force
Bgrav meant that interactions between gravitating bodies in motion would be out of sync with electromagnetic forces in local
coordinates, with grav-magnetic forces 4 times too strong to have been derived simply from local Lorentz transformations in the same way one derives the magnetic field from moving electrically charged sources in electomagnetics. That is,
Bgrav_Einstein_GR = 4 x Bgrav_electromagnetic-like.
The force of gravitation itself would
not obey The Principle of Relativity described by Galileo and by Einstein in special relativity, although the
components of the metric tensor, at least, would be Lorentz-covariant in local coordinates. It was commonly admitted by physicists that the gravitational force was not locally Lorentz covariant in General Relativity, but it was not generally known that what this amounted to was that grav-magnetic forces would be 4 times as strong as in a theory with
gravitational forces locally Lorentz covariant. There were measurable differences between such theories, but the experiments were tough experiments to do. Also, no one else saw how to get
the perihelion precession of Mercury and
the curvature of light around the Sun to come out with their known values from anything but General Relativity until I showed how to do it with
unified quantum field theory.
Wheeler, Thorne, and Misner [1] had previously pointed out some difficulties with the weak-field GR equations, stating that their observations grew out of a 1939 paper by Fierz and Pauli, and pointed out that the principle of equivalence did not immediately yield the curvature of space, but only gravitational time-dilation. I was looking into the electroweak model as described by Cottingham & Greenwood at the
time...the one used to unify [2] the weak interaction and electromagnetism,
and discovered a symmetric and natural generalization of it that included all
of the other forces, especially
the strong nuclear force, which I
managed to obtain as a power series expansion from the solutions
to the
central generalized Maxwell's equations of the model [3]. The unified quantum field theory was based on generalized classical vector-boson field theory, using a simple form of the
electroweak model derived during the 1970s by Weinberg and Salam [2]. The form I chose
was also discussed somewhat in books on Grand Unified Theories,
although I believe I was the first to obtain
the nuclear force
expansion from the core equations and to frame the theory in MKSC
units in a form engineers find familiar from electromagnetics.
In addition, I think my treatment is the clearest ever given. It includes the Cottingham & Greenwood presentation of
the weak interaction with embellishments.
[1]
GRAVITATION by Wheeler, Thorne, and Misner. Their book
presented a fairly decent non-self-consistency theorem billed
as the 1939 Pauli-Fierz theorem without accepting it, thereby contriving
to miss the thorn that would have deflated the entire model.
I discovered a similar theorem independently in 1992.
Since reading the 1939 Pauli-Fierz paper, I suppose Misner, Wheeler, and Thorne had more to do with GR non-self-consistency theorems than I at first suspected. The Pauli-Fierz paper was much less definite.
[2]
INTRODUCTION TO NUCLEAR PHYSICS by Cottingham & Greenwood.
This book contains a nice introduction to the electroweak model
without quite divulging its field equations! But it contained
enough clues to find them and derive their equation of motion.
[3]
GRAVITATION & THE ELECTROFORM MODEL by James A. Green,
11th edition, 2000. Contains the clearest forms
of the GR non-self-consistency theorems leading to the electroform
unified field theory based on symmetrized standard-model vector-boson field theory with gravitational time-dilation only in MKSC units.
This edition shows how to obtain the correct curvature of light
around the sun and perihelion precession of Mercury for a unified quatum field theory of this type.
