Gravitation in Theory of Space-Time Film and Galactic Soliton

TL;DR

This paper proposes a novel space-time film model where scalar fields act as fundamental entities, explaining galactic gravitational effects and spiral structures without dark matter, through weak field solutions and soliton concepts.

Contribution

It introduces a new space-time film theory with scalar fields as fundamental, providing a framework to explain galactic dynamics and dark matter phenomena.

Findings

Effective metrics reproduce galaxy rotation curves.

Galactic soliton solutions explain spiral structures.

Model offers an alternative to dark matter hypothesis.

Abstract

The scalar field of extremal space-time film is considered as unified fundamental field. Metrical interaction between solitons-particles as gravitational interaction is considered here in approximation of a weak fundamental field. It is shown that the signature of metrics $\{-,+,+,+\}$ in the model formulation provides the observable gravitational attraction to a region with bigger energy density of the fundamental field. The induced gravitational interaction in the space-time film theory is applied to stars in a galaxy. The conception of galaxy soliton of space-time film is introduced. A weak field asymptotic solution for a galaxy soliton is proposed. It is shown that the effective metrics for this solution can provide the observable velocity curves for galaxies and explains their spiral structure. Thus a solution for so-called dark matter problem in the framework of space-time film theory is proposed.