# Gauge Theory of Gravity with Internal U (1) Symmetry and Unification of Gravitational and Electromagnetic Fields

by Open Science Repository Physics

(December 2015)

#### Abstract

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 particlesâ€™ effective rest mass. We unify Gravity with electromagnetic fields in the framework of gauge theory with internal Ug (1) Ă— Ue (1) group.

**Keyword:** internal Ug (1) symmetry of gravity, quantum theory of gravity, renormalization of quantum theory of gravity, negative gravitational charge, unification of electromagnetic gravitational fields.

#### Full text

Gauge Theory of Gravity with Internal U (1) Symmetry and Unification of Gravitational and Electromagnetic Fields
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