The Superforce - a Path to Quantum Gravity?
ORAL
Abstract
It is found that it is the Planck Force (c4/G) that is the ruling force of unification, named the Superforce, which also is found in the field equations of Einstein’s General Relativity (GR) theory. In this manner, the Superforce unites the world of the very small (quantum field theory) with the world of the very large (GR), thus accounting for a feasible theory of Quantum Gravity. Moreover this Superforce indicates that it is by its very action on the local spatial-temporal geometric structure that Energy Density and hence Matter is created.
If you carefully observe Einstein’s gravitational field equations (General Relativity (GR)) , you note that the stress-energy tensor is coupled to the geometry of curved spacetime by a scalar factor, on the order of (G / c4), where G is the universal gravitational constant and c is the speed of light in a given medium.
A simple dimensional analysis shows that the inverse of this coupling scalar constant has the units of energy divided by length, thus as an energy gradient the scalar (c4 / G) has the units of a Force – we shall call it the Superforce (SF) . Mathematically, GR can be re-written as Guv ~ [1 / SF] Tuv, where Guv is the Einstein tensor and Tuv is the stress-energy tensor.
Moreover, if you carefully look at the mathematical structure of the Planck Force, you realize that this is the Superforce, and it does not contain h–bar, namely the modified (reduced) Planck constant, therefore it can relate to a quantum phenomenon exhibiting Macroscopic classical behavior, namely a Macroscopic Quantum Phenomenon.
SF ~ mP c2 / LP ~ MU c2 / RU (1)
Equation 1 shows that the Superforce equals the Energy gradient for both the Planck scale and the Horizon (Cosmic) scale in that SF ~ 1044 ~ (1053 1017) / 1026 , where MU , RU are the mass and radius of the observable Universe. This fact can not be a mere coincidence and shows that indeed the Superforce acts as the Bridge between General Relativity and Quantum Mechanics, namely the Realms of the very large and that of the very small (QG).
If you carefully observe Einstein’s gravitational field equations (General Relativity (GR)) , you note that the stress-energy tensor is coupled to the geometry of curved spacetime by a scalar factor, on the order of (G / c4), where G is the universal gravitational constant and c is the speed of light in a given medium.
A simple dimensional analysis shows that the inverse of this coupling scalar constant has the units of energy divided by length, thus as an energy gradient the scalar (c4 / G) has the units of a Force – we shall call it the Superforce (SF) . Mathematically, GR can be re-written as Guv ~ [1 / SF] Tuv, where Guv is the Einstein tensor and Tuv is the stress-energy tensor.
Moreover, if you carefully look at the mathematical structure of the Planck Force, you realize that this is the Superforce, and it does not contain h–bar, namely the modified (reduced) Planck constant, therefore it can relate to a quantum phenomenon exhibiting Macroscopic classical behavior, namely a Macroscopic Quantum Phenomenon.
SF ~ mP c2 / LP ~ MU c2 / RU (1)
Equation 1 shows that the Superforce equals the Energy gradient for both the Planck scale and the Horizon (Cosmic) scale in that SF ~ 1044 ~ (1053 1017) / 1026 , where MU , RU are the mass and radius of the observable Universe. This fact can not be a mere coincidence and shows that indeed the Superforce acts as the Bridge between General Relativity and Quantum Mechanics, namely the Realms of the very large and that of the very small (QG).
* No funding -this is a private / personal work, not associated with US Navy.
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Publication: Pais, S. C. (2023, July 24). SUPERFORCE – the Fundamental Force of Unification. https://doi.org/10.31219/osf.io/9kebt
Presenters
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Salvatore C Pais
Case Western Reserve University / NAVAIR PAX
Authors
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Salvatore C Pais
Case Western Reserve University / NAVAIR PAX