Induced gravitation in nonlinear field models

TL;DR

This paper explores how gravitation can emerge from soliton interactions in nonlinear field models, specifically Born-Infeld electrodynamics and a scalar field model, suggesting a unified view of fundamental forces.

Contribution

It demonstrates that long-range interactions of solitons in these models can be interpreted as electromagnetic and gravitational forces, offering a novel perspective on unification.

Findings

Long-range soliton interactions act as force and metric interactions.

Force interactions can be interpreted as electromagnetic.

Metrical interactions can be interpreted as gravitational.

Abstract

The description of gravitation in the framework of soliton interaction is considered for two nonlinear field models. These models are Born -- Infeld nonlinear electrodynamics and so-called Born -- Infeld type scalar field model. The last model can also be called the extremal space-time film one because of the specific form of the appropriate variational principle. Gravitational interaction is considered in the context of unification for all interactions of material particles. It is shown that long-range interaction of solitons of the models appears as force one and metrical one. The force interaction can be interpreted as electromagnetic one. The metrical interaction can be interpreted as gravitational one.