Einstein’s Principle of Equivalence and the Heuristic Significance of General Covariance

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Joseph K. Cosgrove
Keyword(s):  
General Covariance ◽  
Principle Of Equivalence

ENTROPY DENSITY OF SPACE–TIME AND GRAVITY: A CONCEPTUAL SYNTHESIS

2009 ◽  
Vol 18 (14) ◽  
pp. 2189-2193 ◽  
Author(s):  
T. PADMANABHAN
Keyword(s):  
Quantum Theory ◽  
Quantum Gravity ◽  
Invariant Theory ◽  
Entropy Density ◽  
Space Time ◽  
General Covariance ◽  
Principle Of Equivalence ◽  
Field Equations ◽  
Accelerated Observers ◽  
Thermodynamic Interpretation

I show that combining the principle of equivalence and the principle of general covariance with the known properties of local Rindler horizons, perceived by accelerated observers, leads to the following inescapable conclusion: The field equations describing gravity in any diffeomorphism-invariant theory must have a thermodynamic interpretation. This synthesis of quantum theory, thermodynamics and gravity shows that the gravitational dynamics can be interpreted completely in terms of entropy balance between matter and space–time. This idea has far-reaching implications for the microstructure of space–time and quantum gravity.

General Covariance

2021 ◽  
pp. 164-210
Author(s):  
Moataz H. Emam
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
General Theory ◽  
Weak Field ◽  
General Covariance ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Spacetime Curvature ◽  
Interior Solutions

The general theory of relativity is introduced based on the principle of equivalence. Gravity is shown to arise dues to spacetime curvature. Specific examples of curved spacetimes are presented from the approximate but more intuitive to the complex: Uniform gravitational field (Galilean metric), the Newtonian weak field metric, Schwarzschild’s exterior and interior solutions, black holes, and cosmological spacetimes. A brief discussion on distances, areas and volumes in curved spaces is also given.

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Wave Functions ◽  
Main Task ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Relative Wave Function ◽  
New Equation ◽  
The Universe

Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter.

Learning Unsupervised and Supervised Representations via General Covariance

2020 ◽  
pp. 1-1
Author(s):  
Yun-Hao Yuan ◽  
Jin Li ◽  
Yun Li ◽  
Jianping Gou ◽  
Jipeng Qiang
Keyword(s):  
General Covariance

GENERAL COVARIANCE, TOPOLOGICAL QUANTUM FIELD THEORIES AND FRACTIONAL STATISTICS

1992 ◽  
Vol 07 (02) ◽  
pp. 209-234 ◽  
Author(s):  
J. GAMBOA
Keyword(s):  
Hamiltonian Formalism ◽  
Field Theories ◽  
General Covariance ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Fractional Statistics ◽  
Multiply Connected ◽  
Topological Quantum ◽  
Gauge Fixing ◽  
Topological Quantum Field Theories

Topological quantum field theories and fractional statistics are both defined in multiply connected manifolds. We study the relationship between both theories in 2 + 1 dimensions and we show that, due to the multiply-connected character of the manifold, the propagator for any quantum (field) theory always contains a first order pole that can be identified with a physical excitation with fractional spin. The article starts by reviewing the definition of general covariance in the Hamiltonian formalism, the gauge-fixing problem and the quantization following the lines of Batalin, Fradkin and Vilkovisky. The BRST–BFV quantization is reviewed in order to understand the topological approach proposed here.

Principle of equivalence and electromagnetism

1983 ◽  
Vol 22 (1) ◽  
pp. 67-72 ◽  
Author(s):  
B. Léauté ◽  
B. Linet
Keyword(s):  
Principle Of Equivalence
Sign in / Sign up

Export Citation Format

Share Document