Torsion fields generated by the quantum effects of macro-bodies. (arXiv:2210.16245v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Chen_D/0/1/0/all/0/1">Da-Ming Chen</a>
We generalize Einstein’s General Relativity (GR) by assuming that all matter
(including macro-objects) has quantum effects. An appropriate theory to fulfill
this task is Gauge Theory Gravity (GTG) developed by the Cambridge group. GTG
is a “spin-torsion” theory, according to which, gravitational effects are
described by a pair of gauge fields defined over a flat Minkowski background
spacetime. The matter content is completely described by the Dirac spinor
field, and the quantum effects of matter are identified as the spin tensor
derived from the spinor field. The existence of the spin of matter results in
the torsion field defined over spacetime. Torsion field plays the role of
Bohmian quantum potential which turns out to be a kind of repulsive force as
opposed to the gravitational potential which is attractive. The equivalence
principle remains and essential in this theory so that GR is relegated to a
locally approximate theory wherein the quantum effects (torsion) are
negligible. As a toy model, we assume that the macro matter content can be
described by the covariant Dirac equation and apply this theory to the simplest
radially symmetric and static gravitational systems. Consequently, by virtue of
the cosmological principle, we are led to a static universe model in which the
Hubble redshifts arise from the torsion fields.
We generalize Einstein’s General Relativity (GR) by assuming that all matter
(including macro-objects) has quantum effects. An appropriate theory to fulfill
this task is Gauge Theory Gravity (GTG) developed by the Cambridge group. GTG
is a “spin-torsion” theory, according to which, gravitational effects are
described by a pair of gauge fields defined over a flat Minkowski background
spacetime. The matter content is completely described by the Dirac spinor
field, and the quantum effects of matter are identified as the spin tensor
derived from the spinor field. The existence of the spin of matter results in
the torsion field defined over spacetime. Torsion field plays the role of
Bohmian quantum potential which turns out to be a kind of repulsive force as
opposed to the gravitational potential which is attractive. The equivalence
principle remains and essential in this theory so that GR is relegated to a
locally approximate theory wherein the quantum effects (torsion) are
negligible. As a toy model, we assume that the macro matter content can be
described by the covariant Dirac equation and apply this theory to the simplest
radially symmetric and static gravitational systems. Consequently, by virtue of
the cosmological principle, we are led to a static universe model in which the
Hubble redshifts arise from the torsion fields.
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