Antigravity mechanism in the theory of dual relativity

TL;DR

This paper explores the dual relativity theory, deriving an effective action showing that interactions between ordinary and dual matter exhibit antigravitational behavior.

Contribution

It introduces formulas for the effective action of particles in dual relativity, revealing positive interaction energy indicative of antigravity between matter types.

Findings

Interaction energy between ordinary and dual matter is positive.

The effective action includes a gravitational-like interaction term.

The interaction has antigravitational properties.

Abstract

In the paper, one of the physical consequences of the recently developed theory of dual relativity (TDR) is considered. The general framework of TDR is described and some results previously obtained within this theory are summarized. The total action functional of TDR includes the action functionals of matter fields of two kinds: ordinary and dual. Based on the general equations of the theory, formulas are derived for the effective action functional of a system of point-like massive particles belonging to both kinds of matter, in the Newtonian limit. This functional includes an interaction term, which has the form of the gravitational interaction energy in Newtonian mechanics. It is shown that this energy is positive in the case of interaction between particles of ordinary and dual matter. This result indicates that this interaction has antigravitational nature.