Positive Definiteness of Gravitational Field Energy

1968 ◽  
Vol 20 (2) ◽  
pp. 75-78 ◽  
Author(s):  
D. Brill ◽  
S. Deser
Keyword(s):  
Gravitational Field ◽  
Positive Definiteness ◽  
Field Energy

CAUSALITY REQUIREMENTS AND LINEAR FIELD EQUATIONS

1964 ◽  
Vol 42 (11) ◽  
pp. 2080-2085
Author(s):  
T. F. Morris
Keyword(s):  
Continuous Distribution ◽  
Positive Definiteness ◽  
Field Energy ◽  
Field Equations ◽  
Boundedness Condition ◽  
Classical Definition ◽  
Reversal Invariance ◽  
Definition Of ◽  
Linear Field

The requirements of Lorentz and time-reversal invariance, causality, positive definiteness of the field energy, and a boundedness condition on the propagator are used to determine the possible forms of linear field equations through the determination of their Green's functions in momentum space. The classical definition of causality, no output before input, is applied to a scalar field and is shown to imply the uniqueness of the usual propagator for a spin-zero particle of discrete mass.The classical definition of causality is then replaced by one appropriate for quantum theory. An additional type of equation is possible, which represents a particle with a continuous distribution of mass.

scholarly journals Gravitational Force is a Type of Physical Interaction between Gluon Fields: Molecular Motions of Gases

2021 ◽  
pp. 64-70
Author(s):  
C. G. Sim
Keyword(s):  
Gravitational Field ◽  
Quantum Chromodynamics ◽  
Gravity Model ◽  
Gravitational Force ◽  
Field Energy ◽  
Physical Interaction ◽  
Molecular Motions ◽  
Universal Gravitation ◽  
Strong Force ◽  
Color Field

This study presents a Gluon Gravity Model, to explain the mechanism of gravity. With the development of quantum chromodynamics since 1970, Newton's law of universal gravitation and Einstein's theory of general relativity need to be reinterpreted. Like an electric charge causes an electric field, the color charges in quantum chromodynamics were introduced into the gravitational field. The gluons mediating strong force can bring about a new color field around the strong force field owing to their color charges. This new color field of charges becomes a gravitational field in Gluon Gravity Model. This model is supported by the facts that most of the atomic mass is composed of the gluon field energy and the similarity between the two formulas of Coulomb's law and Newton's laws of universal gravitation. Additionally, it is possible to explain the gas molecular motions by applying the Gluon Gravity Model to the gluon fields within a proton.

Statistical Mechanical Interpretation of Black Hole Entropy

1994 ◽  
Vol 49 (11) ◽  
pp. 1023-1030
Author(s):  
F. Winterberg
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Gravitational Collapse ◽  
Black Hole Entropy ◽  
Field Energy ◽  
Planck Mass ◽  
Statistical Mechanical ◽  
Mechanical Interpretation ◽  
The Universe ◽  
Matter Energy

Abstract It is shown that the Bekenstein-Hawking formula for the entropy of a black hole can be given a statistical mechanical interpretation in terms of Planck mass particles. It is furthermore shown that the previously proposed Planck aether model (assuming that space is densely filled with an equal number of positive and negative Planck masses) gives an expression for the black hole entropy, different from the Bekenstein-Hawking formula, with the entropy proportional to the 3/4 power of the black hole surface rather than proportional to its surface. The Planck aether model also gives an expression for the entropy of the gravitational field, which for a black hole is the entropy of negative Planck masses. To be consistent with Nernst's theorem, it is conjectured that this gravitational field entropy is negative. For a universe in which the sum of the positive matter energy and the negative gravitational field energy is zero, the sum of the matter and gravitational field entropy would therefore vanish as well. Because the positive and negative Planck masses are separated from each other, a cancellation of their entropy appears to be only possible in the event of a gravitational collapse of the universe as a whole.

scholarly journals Some features of an interaction of electromagnetic radiation quantums with a gravitational field and a problem of graviton

2020 ◽  
Vol 28 (3) ◽  
pp. 90-109
Author(s):  
Andrey N. Volobuev ◽  
Aleksandr M. Shterenberg ◽  
Pavel K. Kuznetsov
Keyword(s):  
Gravitational Field ◽  
Electromagnetic Radiation ◽  
Identical Result ◽  
Field Energy ◽  
Frequency Change ◽  
Radiation Frequency ◽  
Double Stars ◽  
Einstein's Equation ◽  
Field Quantization ◽  
Resonant Pumping

The problems connected to propagation of a gravitational field are considered. The law of electromagnetic radiation frequency change in gravitational field is shown. The problem of a gravitational field quantization is investigated. Energy of a graviton is found by two ways. First, on the basis of use quantum gravitational eikonal and Lagrangian of a gravitational field the energy of a solitary graviton is found. It is shown that graviton has the mass proportional to its frequency. Second, due to refusal from symmetric stresses tensor in structure of an energy-impulse tensor the quantum form of the energy-impulse tensor in Einstein's equation is found. It has allowed found the energy of a solitary graviton. Both ways of an energy graviton finding has given the identical result. It is shown that the solution of the Einsteins equation with use of the quantum form of an energy-impulse tensor for the certain direction represents the sum of a gravitational wave and a graviton. It is found out that at approach of a graviton to the massive bodies (double stars) radiating gravitational waves there is a resonant pumping of the gravitational field energy of these bodies to the gravitons with increase in their mass and frequency. It enables registration of the gravitons with the help of the detector located near to massive bodies. The assumption is made that dark energy of a gravitational field is all set of the graviton energies of a space.

Note on positive-definiteness of the energy of the gravitational field

1960 ◽  
Vol 11 (1) ◽  
pp. 116-121 ◽  
Author(s):  
R Arnowitt ◽  
S Deser ◽  
C.W Misner
Keyword(s):  
Gravitational Field ◽  
Positive Definiteness

Gravitational Field Energy andg00

1963 ◽  
Vol 130 (4) ◽  
pp. 1590-1594 ◽  
Author(s):  
Charles W. Misner
Keyword(s):  
Gravitational Field ◽  
Field Energy
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