Gravity Theory

In this paper, I describe three fields by 4*4 matrices: the electromagnetic field, the kinetic field, and the angular momentum field. These three fields are put into standardized forms related to Maxwell's equations by a unique hypothesis. Although, the implications of this hypothesis may not be clear at first sight, we can derive well-known equations that offer insight into the meaning of Lagrangian density. The results point toward the conclusion that the laws of the universe are based on the minimum action principle.

There are difficulties with renormalizing quantum theories of gravity and unifying gravity with electromagnetic fields. In this article, we postulate the Precise Equivalence Principle (PEP) as a basic principle to establish effective gravitational theories. The PEP leads to a conclusion that gravitational fields are Abelian gauge fields with an internal Ug (1) symmetry. Next, we establish Gravitodynamics that predicts the existences of gravitomagnetic fields and gravitational waves. Moreover, we quantize Gravitodynamics and show that Quantum Gravitodynamics (QGD) is renormalizable. The QGD predicts: (1) the quantum of the gravitational fields, which we name Gravito-boson, carries energy and momentum, has zero rest mass hence zero gravitational charge; thus a gravitational field is not the source of itself; (2) Gravito-boson is a spin 1 particle which has two physically independent transverse polarizations and moves at a finite speed; (3) the existence of negative gravitational charg...

There are difficulties with renormalizing quantum theories of gravity and unifying gravity with electromagnetic fields. In this article, we postulate the Precise Equivalence Principle (PEP) as a basic principle to establish effective gravitational theories. The PEP leads to a conclusion that gravitational fields are Abelian gauge fields with an internal Ug (1) symmetry. Next, we establish Gravitodynamics that predicts the existences of gravito-magnetic fields and gravitational waves. Moreover, we quantize Gravitodynamics and show that Quantum Gravitodynamics (QGD) is renormalizable. The QGD predicts: (1) the quantum of the gravitational fields, which we name Gravito-boson, carries energy and momentum, has zero rest mass hence zero gravitational charge; thus a gravitational field is not the source of itself; (2) Gravito-boson is a spin 1 particle which has two physically independent transverse polarizations and moves at a finite speed; (3) the existence of negative gravitational charges that repel the positive gravitational charges; (4) gravitational fields change Dirac particles' effective rest mass. We unify Gravity with electromagnetic fields in the framework of gauge theory with internal U g (1) × U e (1) group.