Fundamental interactions and quantum behaviour in unified field theory

TL;DR

This paper explores unified field theory by analyzing nonlinear models that naturally incorporate electromagnetism and gravitation, and investigates the quantum behavior of soliton-particles within these models.

Contribution

It introduces the concept of quasi-bounding quantization in nonlinear field models and discusses the emergence of fundamental interactions in these frameworks.

Findings

Identification of electromagnetism and gravitation in nonlinear models

Introduction of quasi-bounding quantization concept

Analysis of quantum behavior of soliton-particles

Abstract

The concept of unified field theory is discussed. Two nonlinear field models with world volume type action are considered, namely extremal space-time film model and Born -- Infeld nonlinear electrodynamics. The natural appearance of two long-range fundamental interactions, electromagnetism and gravitation, in these field models is discussed. The quantum behaviour of the interacting solitons-particles is considered. The concept of quasi-bounding quantization in nonlinear field models is introduced.