146 research outputs found
Field Equations and Equations of Motion in Post-Newtonian Approximation of the Projective Unified Field Theory
The equations of motion of gravitationally bound bodies are derived from
the field equations of Projective Unified Field Theory. The Newtonian and the
post-Newtonian approximations of the field equations and of the equations of
motion of this system of bodies are studied in detail. In analyzing some
experimental data we performed some numeric estimates of the ratio of the
inertial mass to the scalaric mass of matter.Comment: 17 page
On the Axiomatics of the 5-dimensional Projective Unified Field Theory of Schmutzer
For more than 40 years E.Schmutzer has developed a new approach to the
(5-dimensional) projective relativistic theory which he later called Projective
Unified Field Theory (PUFT). In the present paper we introduce a new axiomatics
for Schmutzer's theory. By means of this axiomatics we can give a new
geometrical interpretation of the physical concept of the PUFT.Comment: 32 pages, 1 figure, LaTeX 2e, will be submitted to Genaral Relativity
and Gravitatio
Gravitational Couplings of Intrinsic Spin
The gravitational couplings of intrinsic spin are briefly reviewed. A
consequence of the Dirac equation in the exterior gravitational field of a
rotating mass is considered in detail, namely, the difference in the energy of
a spin-1/2 particle polarized vertically up and down near the surface of a
rotating body is . Here is the latitude and
, where and are, respectively, the angular
momentum and radius of the body. It seems that this relativistic quantum
gravitational effect could be measurable in the foreseeable future.Comment: LaTeX file, no figures, 16 page
Extra Force in Brane Worlds
By carefully analyzing the geodesic motion of a test particle in the bulk of
brane worlds, we identify an extra force which is recognized in spacetime of
one lower dimensions as a non-gravitational force acting on the particle. Such
extra force acts on the particle in such a way that the conventional particle
mechanics in one lower dimensions is violated, thereby hinting at the
higher-dimensional origin of embedded spacetime in the brane world scenario. We
obtain the explicit equations describing the motion of the bulk test particle
as observed in one lower dimensions for general gravitating configurations in
brane worlds and identify the extra non-gravitational force acting on the
particle measured in one lower dimensions.Comment: 21 pages, LaTeX, version to appear in Phys. Rev. D, minor correction
Fibre bundle formulation of relativistic quantum mechanics. I. Time-dependent approach
We propose a new fibre bundle formulation of the mathematical base of
relativistic quantum mechanics. At the present stage the bundle form of the
theory is equivalent to its conventional one, but it admits new types of
generalizations in different directions.
In the present first part of our investigation we consider the time-dependent
or Hamiltonian approach to bundle description of relativistic quantum
mechanics. In it the wavefunctions are replaced by (state) liftings of paths or
sections along paths of a suitably chosen vector bundle over space-time whose
(standard) fibre is the space of the wavefunctions. Now the quantum evolution
is described as a linear transportation (by means of the evolution transport
along paths in the space-time) of the state liftings/sections in the (total)
bundle space. The equations of these transportations turn to be the bundle
versions of the corresponding relativistic wave equations.Comment: 16 standard LaTeX pages. The packages AMS-LaTeX and amsfonts are
required. The paper continuous the application of fibre bundle formalism to
quantum physics began in the series of works quant-ph/9803083,
quant-ph/9803084, quant-ph/9804062, quant-ph/9806046, quant-ph/9901039,
quant-ph/9902068, and quant-ph/0004041. For related papers, view
http://theo.inrne.bas.bg/~bozho
Auto-parallel equation as Euler-Lagrange's equation in spaces with affine connections and metrics
The auto-parallel equation over spaces with affine connections and metrics is
considered as a result of the application of the method of Lagrangians with
covariant derivatives (MLCD) on a given Lagrangian density.Comment: 19 pages, LaTe
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