The Speed of Light as a Dilaton Field

TL;DR

This paper proposes that the speed of light functions as a dilaton field, leading to a new gauge field called the speedon, and derives its interactions with matter and gravity.

Contribution

It introduces the concept of the speed of light as a dilaton field and formulates a Lagrangian including a new gauge field called the speedon.

Findings

Derived the expression for the speed of light as a field.

Presented solutions for the coupled gravitational, electromagnetic, and speedon fields.

Established the theoretical framework connecting the speed of light to a gauge field.

Abstract

Through dimensional analysis, eliminating the physical time, we identify the speed of light as a dilaton field. This leads to a restmass zero, spin zero gauge field which we call the speedon field. The complete Lagrangian for gravitational, electromagnetic and speedon field interactions with a charged scalar field, representing matter, is given. We then find solutions for the gravitational-electromagnetic-speedon field equations. This then gives an expression for the speed of light.