Boundary conditions for zero‐rest‐mass fields in curved space‐time: A regularity theorem

1981 ◽  
Vol 22 (5) ◽  
pp. 1081-1083 ◽  
Author(s):  
James L. Anderson ◽  
Ronald E. Kates
Keyword(s):  
Boundary Conditions ◽  
Rest Mass ◽  
Space Time ◽  
Regularity Theorem ◽  
Curved Space

scholarly journals An allgravity as a grand unification of forces

2021 ◽  
Vol 34 (3) ◽  
pp. 397-409
Author(s):  
Rasulkhozha S. Sharafiddinov
Keyword(s):  
Mathematical Logic ◽  
Rest Mass ◽  
Space Time ◽  
Duality Principle ◽  
Grand Unification ◽  
Curved Space ◽  
Quantum Matter ◽  
Electricity And Magnetism ◽  
Unification Of Forces

Each type of Coulomb (Newton) charge corresponds to a kind of Coulomb (Newton) mass. Such a mass-charge duality principle explains the availability of the united rest mass and charge in a neutrino equal to all its mass and charge consisting of the electric, weak, and strong components and the range of other innate components. A neutrino itself, similarly to all other quantum matter with Coulomb (Newton) mass and charge, testifies hereby in favor of a kind of mononeutrino with magnetocoulomb (magnetonewton) rest mass and charge equal to all its mass and charge including the magnetoelectric, magnetoweak, and magnetostrong parts and the range of other innate parts. We discuss a theory in which symmetry between electricity and magnetism comes forward at the level of a grand unification mathematical logic as the defined symmetry between gravity and magnetogravity within the same allgravity responsible for all that in a curved space-time. This allgravity relates a graviton and a monograviton as a consequence of force unification forming a single allgraviton. Thereby, it establishes a set of forces and the role of mass and charge in their formation and thus directly reveals the most diverse properties of a curved space that have remained hitherto latent.

EFFECTIVE ACTION IN MULTI-DIMENSIONAL SUPERGRAVITIES AND INDUCED EINSTEIN GRAVITY

1988 ◽  
Vol 03 (08) ◽  
pp. 1859-1870 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
S.D. ODINTSOV
Keyword(s):  
Boundary Conditions ◽  
General Expression ◽  
Effective Action ◽  
Einstein Gravity ◽  
Space Time ◽  
Dimensional Torus ◽  
Curved Space ◽  
Dimensional Gravity ◽  
The One

In the present paper a general expression of quantum effective action for arbitrary d-dimensional supergravity on the background Rn×Td−n′ where Rn is n-dimensional curved space-time, Td is d-dimensional torus, is obtained as an expansion on the curvature and its derivatives. The mechanism of inducing Einstein gravity with zero Λ term is proposed. It is shown that the 4-dimensional gravity with the true sign of the Newton constant is induced from d=5 supergravity when antiperiodic boundary conditions are chosen for all fields of supermultiplet. The one-loop effective action is obtained for d=4, 5, 7, 10 supergravities with the accuracy of linear curvature terms. The one-loop Vilcovisky-De Witt effective action is also obtained for d=5 SG’s with the accuracy of linear curvature terms.

scholarly journals Massive Gravitons in General Relativity

1997 ◽  
Vol 50 (5) ◽  
pp. 879 ◽  
Author(s):  
John Argyris ◽  
Corneliu Ciubotariu
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Lagrangian Density ◽  
Rest Mass ◽  
Mass Term ◽  
Space Time ◽  
Fundamental Constants ◽  
Conformally Flat ◽  
Light Velocity ◽  
Curved Space

In the framework of a generalisation of linear gravitation to the case when the gravitons have nonzero rest mass, we obtain a result analogous to that obtained by Regge and Wheeler, that is, the energy of the gravitational waves is trapped in the ‘material’ (interior) metric of the curved space–time. We show that the concept of a nonzero rest mass graviton may be defined in two ways: (i) phenomenologically, by introducing of a mass term in the linear Lagrangian density, as in Proca electrodynamics, and (ii) self-consistently, by solving Einstein’s equations in the conformally flat case. We find that the rest mass of the graviton may be given in terms of the three fundamental constants (gravitational, Planck, and light velocity constants) and it is a function of the density of cosmic matter.

Translocations In Space-Time and Simultaneous States of the Universe: Convergent Quantifications and Alternative Solutions from the Principles of Physics for the Challenges of “Time Travel” and “Parallel Universes”

2016 ◽  
pp. 4058-4069
Author(s):  
Michael A Persinger
Keyword(s):  
Single Photon ◽  
Rest Mass ◽  
Space Time ◽  
Hydrogen Line ◽  
Magnetic Forces ◽  
Universal Space ◽  
Potential Applications ◽  
Order Of Magnitude ◽  
Alternative Solutions ◽  
The Universe

                                Translation of four dimensional axes anywhere within the spatial and temporal boundaries of the universe would require quantitative values from convergence between parameters that reflect these limits. The presence of entanglement and volumetric velocities indicates that the initiating energy for displacement and transposition of axes would be within the upper limit of the rest mass of a single photon which is the same order of magnitude as a macroscopic Hamiltonian of the modified Schrödinger wave function. The representative metaphor is that any local 4-D geometry, rather than displaying restricted movement through Minkowskian space, would instead expand to the total universal space-time volume before re-converging into another location where it would be subject to cause-effect. Within this transient context the contributions from the anisotropic features of entropy and the laws of thermodynamics would be minimal.  The central operation of a fundamental unit of 10-20 J, the hydrogen line frequency, and the Bohr orbital time for ground state electrons would be required for the relocalized manifestation. Similar quantified convergence occurs for the ~1012 parallel states within space per Planck’s time which solve for phase-shift increments where Casimir and magnetic forces intersect.  Experimental support for these interpretations and potential applications is considered. The multiple, convergent solutions of basic universal quantities suggest that translations of spatial axes into adjacent spatial states and the transposition of four dimensional configurations any where and any time within the universe may be accessed but would require alternative perspectives and technologies.

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

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