scholarly journals FREE CURVILINEAR SPACE WITH TORSION

Globus ◽  
2021 ◽  
Vol 7 (6(63)) ◽  
pp. 27-33
Author(s):  
Y.A. Sharin
Keyword(s):  
Field Theory ◽  
Mass Density ◽  
Classical Field Theory ◽  
Classical Field ◽  
Field Equations ◽  
Curved Space ◽  
Astronomical Observations ◽  
Average Mass ◽  
Cosmological Solutions ◽  
The Universe

Under the classical field theory, a variant unification of gravity and electromagnetism on the basis of four-dimensional curved space with torsion is proposed. The connection between electromagnetic field and torsion of space is discovered, a physical interpretation of the space scalar curvature as the density of matter mass is proposed. The solution for the eigenstate of a curved space with torsion, corresponding to the electron is obtained. The identification of the field equations as the Schrodinger equation for the hydrogen atom is shown. Cosmological solutions for the expanding Universe are found, the average mass density in the Universe is estimated, and the results corresponding to the data of astronomical observations are obtained.

Premetric representation of mechanics, electromagnetism and gravity

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1840002 ◽  
Author(s):  
Yakov Itin
Keyword(s):  
Field Theory ◽  
Constitutive Relations ◽  
Classical Field Theory ◽  
Classical Field ◽  
Field Equations ◽  
Basic Field ◽  
Alternative Representation ◽  
Spacetime Metric ◽  
Underlying Manifold

The premetric formalism is an alternative representation of a classical field theory in which the field equations are formulated without the spacetime metric. Only the constitutive relations between the basic field variables can involve the metric of the underlying manifold. In this paper, we present a brief pedagogical review of the premetric formalism in mechanics, electromagnetism, and gravity.

scholarly journals Geometric Unification of Electromagnetism and Gravitation

2017 ◽  
Author(s):  
Raymond J. Beach
Keyword(s):  
Unique Feature ◽  
Mass Density ◽  
Cosmological Solution ◽  
Classical Field Theory ◽  
Classical Field ◽  
Spherically Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Isotropic Universe ◽  
Particle Solution

Using four equations, a recently proposed classical field theory that geometrically couples electromagnetism to gravitation in a fundamentally new way is reviewed. Maxwell’s field equations are a consequence of the new theory as are Einstein’s field equations augmented by a term that can replicate both dark matter and dark energy. To emphasize the unification brought to electromagnetic and gravitational phenomena by the new theory specific solutions are investigated: a spherically-symmetric charged particle solution, a cosmological solution representing a homogeneous and isotropic universe, and solutions representing electromagnetic and gravitational waves. A unique feature of the new theory is that both charge and mass density are treated as dynamic fields, this as opposed to their treatment in the classical Maxwell and Einstein field equations where they are introduced as external entities. This feature suggests a procedure for quantizing the mass, charge and angular momentum that characterize particle-like solutions. Finally, antimatter, which is naturally accommodated by the new theory, and its interaction with a gravitational field is investigated.

The classical field theory of matter and electricity - An approach from first principles

1960 ◽  
Vol 253 (1025) ◽  
pp. 185-204 ◽  
Keyword(s):  
Field Theory ◽  
First Principles ◽  
Classical Field Theory ◽  
Classical Field ◽  
Field Equations ◽  
Additional Energy ◽  
Conservation Of Energy ◽  
Electromagnetic Field Theory ◽  
Energy And Momentum ◽  
Accepted Form

The most desirable classical field theory of the fundamental continuous substratum of matter, from which we can imagine particles are formed, would generally be considered to be the electromagnetic equations but for the fact that these are not consistent with the permanent existence of electrons. Instead of attempting (as has been usual) to modify the equations by special assumptions for the purpose, the problem is attacked here by deriving from first principles field equations which represent conserved matter; for the failure of the standard equations can be traced to the fact that they do not admit conservation of energy and momentum in general, but only in simple cases. The new equations are found to be identical with those of standard electromagnetic theory except that they contain two extra variables, which indicate the existence of additional energy, momentum and stress in the field. The two variables, however, come into the equations in a way which allows them to be included in the charge and current terms, so that they become there concealed and leave the form of the equations virtually unchanged. Consequently they do not affect the ordinary practical use which is made of the electromagnetic equations; they only come into open play in fundamental theory and in the presence of charge and current in the field, and there they remove the difficulties which the electromagnetic field theory in its accepted form presents.

GEOMETRIC QUANTIZATION OF FIELD THEORY ON CURVED SPACE–TIME

1999 ◽  
Vol 14 (07) ◽  
pp. 1087-1110 ◽  
Author(s):  
M. W. KALINOWSKI ◽  
W. PIECHOCKI
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Phase Space ◽  
Symplectic Structure ◽  
Geometric Quantization ◽  
Classical Field Theory ◽  
Classical Field ◽  
Usual Sense ◽  
Curved Space ◽  
Quantization Procedure

A symplectic structure of classical field theory and its application to the canonical geometric quantization procedure are presented. The developed formalism can be treated in two ways: as a prequantization procedure in the usual sense or as a quantization procedure in a stochastic quantum mechanics approach on a phase space.

Particle states of a quantized meson field

1961 ◽  
Vol 262 (1309) ◽  
pp. 237-245 ◽  
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Quantum States ◽  
Meson Field ◽  
Field Equations ◽  
Non Linear ◽  
Linear Field

A simple non-linear field theory is considered as the model for a recently proposed classical field theory of mesons and their particle sources. Quantization may be made according to canonical procedures; the problem is to show the existence of quantum states corresponding with the particle-like solutions of the classical field equations. A plausible way to do this is suggested.

Sign in / Sign up

Export Citation Format

Share Document