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General Relativity and Electromagnetism
I refer here recent discussion in sci.physics.research about the subject.
“ General relativity is the only fundamentally geometric theory in physics and has stood apart from other theories since its inception.
Its geometric nature is intimately connected with the principle of equivalence and the independence of the trajectory of a test body on the properties of the body such as its mass.
There is no analog of the principle of equivalence in electromagnetism; the motion of a charged test body in an electromagnetic field depends directly on its charge and mass.
The lack of such a principle has hindered the development of a true geometric theory of electromagnetism.
Many attempts at a classical unified theory of gravitation and electromagnetism were made by Einstein, H. Weyl, and others, but the results were not very convincing.
These attempts seem less interesting since the discovery of other forces in nature besides gravitation and electromagnetism.
It would be desirable ultimately to unify the strong and weak nuclear forces, electromagnetism, and gravity, and such a grand unification would necessarily involve quantum theory.
Although there is no convincing classical unified field theory, the Maxwell equations of electromagnetism, when expressed in covariant form, are completely consistent with the ideas and equations of general relativity, and no geometric interpretation of the electromagnetic field is logically necessary.
In this view the electromagnetic field operates conventionally in the curved space described by the gravitational field equations.
In turn, the electromagnetic field contains energy and is thus the source of some of the curvature of the space.
Much work has gone into the elucidation of the properties of the coupled Einstein-Maxwell equations in vacuum, sometimes referred to as already-unified field theory, and interesting formal results and interpretations have emerged. ”
Parker, S. P. (Editor in Chief), 1983.
McGraw-Hill Encyclopedia of Physics.
McGraw-Hill Inc, Printed in the U.S.A.
1343 pages, pp. 971-972, (copy from the reference).
One matter below which would be worth of try in unified field models ?
My description of H-M´s drawings of the electron:
“Two circulating colors formed the sphere and the suction spot on its surface. Two circulating colors form the cone which is from surface of the sphere to the center of the sphere.”
“The sphere is anchored from its center to the geometry of the space.”
“Mass of the electron is only due resistance of expansion of the Universe.”
“If electricity of the electron is switched off then its soul goes to the
center of the space.”
My interpretations of H-M´s drawings of the electron, two colors,
its charge and its mass:
Two colors are two colors of the weak interaction.
The suction spot is charge of the electron and electric field lines
goes from outside of the sphere to the suction spot and from that
to the center the sphere.
In center of the sphere is color neutrino, which is the soul of the electron.
This color neutrino acts as a magnetic monopole when it rotates,
but it is anchored to the geometry of the space and
this is why it rotates first 360 degrees in one direction
and then it rotates back 360 degrees in opposite direction.
It oscillates this way and this is why it creates electric field
only to the one side of the sphere to the suction spot and
from there inwards direction to the center of the sphere, so
electric field lines originated from the
oscillating color neutrino which act as a magnetic monopole.
This torsional like oscillation property explains also
why the spin of the electron is h_bar/2.
Mass (and combined interaction constant of nature) is integration
constant of the Einstein equations of general relativity.
This integration constant originates similar way as integration
constant originates in Schwarzschild line element of
(Schwarzschild black hole geometry, my guess G -> G_F*c^2/h_bar^2,
G is gravitational constant, G_F is Fermi constant, c=speed of light,
h_bar is Planck constant/(2*Pi)).
This stretches space geometry in a way and that is
why it is described resistance of the expansion of the Universe.
In reality it is not really singularity as it is
in mathematical theory of general relativity,
it is this color neutrino.
H-M = Hanna-Maria Poropudas, owner of rights of her drawings and
knowledge of them.