scholarly journals A Role of the Uncertainty Principle in General Relativity and the Limiting Size of Collapsing Fermion Spheres

1971 ◽  
Vol 46 (3) ◽  
pp. 984-989 ◽  
Author(s):  
Noboru Hokkyo
Keyword(s):  
General Relativity ◽  
Uncertainty Principle

SPACE–TIME ENERGY–MOMENTUM, THE OBSERVER AND UNCERTAINTY IN GENERAL RELATIVITY

2010 ◽  
Vol 19 (14) ◽  
pp. 2353-2359 ◽  
Author(s):  
F. I. COOPERSTOCK ◽  
M. J. DUPRE
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Uncertainty Principle ◽  
Ricci Tensor ◽  
Space Time ◽  
Energy Integral ◽  
New Approach ◽  
Extended Space ◽  
Energy And Momentum

In this essay, we introduce a new approach to energy–momentum in general relativity. Space–time, as opposed to space, is recognized as the necessary arena for its examination, leading us to define new extended space–time energy and momentum constructs. From local and global considerations, we conclude that the Ricci tensor is the required element for a localized expression of energy–momentum to include the gravitational field. We present and rationalize a fully invariant extended expression for space–time energy, guided by Tolman's well-known energy integral for an arbitrary bounded stationary system. This raises fundamental issues which we discuss. The role of the observer emerges naturally and we are led to an extension of the uncertainty principle to general relativity, of particular relevance to ultra-strong gravity.

Role of gravity in particle physics: A unified approach

2020 ◽  
Vol 29 (11) ◽  
pp. 2041012
Author(s):  
Pedro D. Alvarez ◽  
Mauricio Valenzuela ◽  
Jorge Zanelli
Keyword(s):  
General Relativity ◽  
Standard Model ◽  
Particle Physics ◽  
Laws Of Nature ◽  
Lorentz Transformations ◽  
Unified Approach ◽  
The Standard Model ◽  
Matter Fields

General Relativity (GR) and the Standard Model (SM) of particle physics are two enormously successful frameworks for our understanding the fundamental laws of nature. However, these theoretical schemes are widely disconnected, logically independent and unrelated in scope. Yet, GR and SM at some point must intersect, producing claims about phenomena that should be reconciled. Be it as it may, both schemes share a common basic ground: symmetry under local Lorentz transformations. Here, we will focus on the consequences of assuming this feature from the beginning to combine geometry, matter fields and gauge interactions. We give a rough description of how this could be instrumental for the construction of a unified scheme of gravitation and particle physics.

Berichte: Mach's Principle - A Critical Review

1973 ◽  
Vol 28 (3-4) ◽  
pp. 529-537 ◽  
Author(s):  
Michael Reinhardt
Keyword(s):  
General Relativity ◽  
Selection Rule ◽  
Inertial Mass ◽  
Physical Principle ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Field Equations ◽  
Basic Physical Principle ◽  
Theories Of Gravitation

AbstractAfter a short historical introduction it is discussed how far Mach's principle is incorporated into general relativity. The possible role of Mach's principle as a selection rule for the solutions of Einstein's field equations is summarized. Then follows a discussion of Math's principle in theories of gravitation other than Einstein's, mainly the Brans-Dicke theory. Finally the experiments on the isotropy of inertial mass and their consequence for Mach's principle are described. The conclusion is that Mach's principle, though an extremely stimulating thought, has at present little claim to be a basic physical principle.

Role of general relativity in accretion disk dynamics

Pramana ◽  
1991 ◽  
Vol 36 (5) ◽  
pp. 445-488 ◽  
Author(s):  
A R Prasanna
Keyword(s):  
General Relativity ◽  
Accretion Disk

scholarly journals ON THE ENERGY–MOMENTUM FLUX IN GÖDEL-TYPE MODELS

2013 ◽  
Vol 28 (10) ◽  
pp. 1350039 ◽  
Author(s):  
S. C. ULHOA ◽  
A. F. SANTOS ◽  
R. G. G. AMORIM
Keyword(s):  
General Relativity ◽  
Total Pressure ◽  
Momentum Flux ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Cartesian Coordinates ◽  
Stationary Observer

In this paper, we work in the context of Teleparallelism Equivalent to General Relativity (TEGR) in order to construct the energy–momentum flux for Gödel-type solutions of Einstein's equations. We use an stationary observer, which is settled by the tetrad choice, to obtain the gravitational pressure for each direction of space in cartesian coordinates. Then, we write down the total pressure for each direction in terms of the pressure of the fluid, thus we are able to identify the role of the gravitational pressure.

scholarly journals Creating Generalized and Hybrid Set and Library with Neutrosophy and Quad-Stage Method

2016 ◽  
pp. 308-320
Author(s):  
Yuhua Fu
Keyword(s):  
General Relativity ◽  
Variational Principle ◽  
Uncertainty Principle ◽  
Neutrosophic Set ◽  
Unified Theory ◽  
Law Of Gravity

Generalized and hybrid set can be created with neutrosophy and quad-stage method. Firstly the generalized and hybrid neutrosophic set is discussed. Secondly the combination or synthetical body of generalized and hybrid sets is named as “library” (various generalized and hybrid sets can be put into the related “library”); such as “mathematics library”, “physics library”, and the like. As for the constitution of “library”, the concept and methodology of a special “Four-library” are proposed. Neutrosophy and quad-stage method can also be used to solve many actual problems within the framework of “set” and “library”; for example, based on the analyses of one “Four-library”, jointly solving problem of advance of planet's perihelion with partial results of law of gravity and general relativity; and jointly expanding “uncertainty principle” to “certainty-uncertainty principle set”. Finally, we introduce the concepts of “variational principle of set” and “variational principle of library”, and establish a kind of “partial and temporary unified theory of mathematics so far”.

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