Geometric Gravitational Forces on Particles Moving in a Line

TL;DR

This paper explores how geometric gravitational forces in 2D space-time influence particle motion, linking cosmological constants and vacuum angles within a gauge theory framework inspired by string theory.

Contribution

It introduces a gauge theory approach to describe geometric gravitational forces in 2D space-time, connecting cosmological and quantum vacuum parameters.

Findings

Describes a modified geodesic equation incorporating geometric gravity forces.

Establishes a link between cosmological constant and vacuum $ heta$-angle.

Proposes a string-inspired dilaton gravity model for these phenomena.

Abstract

In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum $\theta$-angle. The description of such forces fits naturally into a gauge theory of gravity based on the extended Poincar\'e group, {\it i.e.\/} ``string-inspired'' dilaton gravity.