The Equations of Motion in Einstein's New Unified Field Theory

The electromagnetic interaction in the Einstein-Infeld-Hoffmann (EIH) equations of motion for charged particles in Einstein's unified field theory (EUFT) is found to be automatically precluded by the conventional identification of the skew part of the fundamental tensor with the Faraday tensor. It is shown that an alternative identification, suggested by observations of Einstein, Bergmann and Papapetrou, would lead to the expected electromagnetic interaction, were it not for the intervention of an infelicitous (radiation) gauge. Therefore, an EIH analysis of EUFT is inconclusive as a test of the physical viability of the theory, and it follows that EUFT cannot be considered necessarily unphysical on the basis of such an analysis. Thus, historically, Einstein's unified field theory was rejected for the wrong reason.

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FIELD EQUATIONS AND EQUATIONS OF MOTION IN POST-NEWTONIAN APPROXIMATION OF THE PROJECTIVE UNIFIED FIELD THEORY

International Journal of Modern Physics E ◽

10.1142/s0218301312500127 ◽

2012 ◽

Vol 21 (02) ◽

pp. 1250012

Author(s):

ALEXANDER GORBATSIEVICH ◽

ERNST SCHMUTZER

Keyword(s):

Field Theory ◽

Experimental Data ◽

Equations Of Motion ◽

Inertial Mass ◽

Unified Field Theory ◽

Field Equations ◽

Unified Field ◽

Newtonian Approximation

The equations of motion of N 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.

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Unification of Gauge Forces and Gravity using Tangled Vortex Knots and Entanglement Dynamics

10.31222/osf.io/nqdct ◽

2020 ◽

Author(s):

Mrittunjoy Guha Majumdar

Keyword(s):

Field Theory ◽

Short Range ◽

Gauge Fields ◽

Entanglement Dynamics ◽

Unified Field Theory ◽

Linear Dynamics ◽

Unified Field ◽

The Standard Model ◽

Theory Of Everything ◽

The Continuum

In this paper, the statistics of excitation-tangles in a postulated background ideal-superfluid field is studied. The structure of the Standard Model is derived in terms of tangle vortex-knots and soliton. Gravity is observed in terms of torsion and curvature in the continuum. In this way, non-linear dynamics and excitations give rise to a unified field theory as well as a Theory of Everything. As a result of this unification, spacetime and matter are shown to be fundamentally equivalent, while gauge fields arise from reorientation and excitations of the the fundamental underlying field. Finally, the equivalence of topological and quantum entanglement is explored to posit a theory of everything in terms of long- and short-range entanglement between fundamental quantum units (bits) of information.

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Mirror Matter from a Unified Field Theory

Foundations of Physics ◽

10.1007/s10701-021-00421-4 ◽

2021 ◽

Vol 51 (1) ◽

Author(s):

Trevor P. Searight

Keyword(s):

Field Theory ◽

Unified Field Theory ◽

Unified Field ◽

Mirror Matter

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An Assessment of Evans’ Unified Field Theory II

Foundations of Physics ◽

10.1007/s10701-007-9188-7 ◽

2007 ◽

Vol 38 (1) ◽

pp. 38-46 ◽

Cited By ~ 1

Author(s):

Friedrich W. Hehl ◽

Yuri N. Obukhov

Keyword(s):

Field Theory ◽

Unified Field Theory ◽

Unified Field

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On a non-symmetric theory of the pure gravitational field

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s030500410003320x ◽

1958 ◽

Vol 54 (1) ◽

pp. 72-80 ◽

Cited By ~ 30

Author(s):

D. W. Sciama

Keyword(s):

Gravitational Field ◽

Energy Momentum Tensor ◽

Equations Of Motion ◽

Rest Mass ◽

Symmetric Tensor ◽

Momentum Tensor ◽

Unified Field Theory ◽

Field Equations ◽

Metric Tensor ◽

Unified Field

ABSTRACTIt is suggested, on heuristic grounds, that the energy-momentum tensor of a material field with non-zero spin and non-zero rest-mass should be non-symmetric. The usual relationship between energy-momentum tensor and gravitational potential then implies that the latter should also be a non-symmetric tensor. This suggestion has nothing to do with unified field theory; it is concerned with the pure gravitational field.A theory of gravitation based on a non-symmetric potential is developed. Field equations are derived, and a study is made of Rosenfeld identities, Bianchi identities, angular momentum and the equations of motion of test particles. These latter equations represent the geodesics of a Riemannian space whose contravariant metric tensor is gij–, in agreement with a result of Lichnerowicz(9) on the bicharacteristics of the Einstein–Schrödinger field equations.

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