Two-Parameter Dynamics and Geometry

TL;DR

This paper introduces a two-parameter dynamics framework in flat spacetime that reveals a connection between dynamics and geometry, including emergent (A)dS4 geometry and Unruh effects, with invariant actions constructed for broken symmetries.

Contribution

It proposes a novel two-parameter dynamics model that links flat spacetime physics with emergent (A)dS4 geometry and explores related phenomena like Unruh effects.

Findings

(A)dS4 geometry can emerge from two-parameter dynamics

Unruh effects are analyzed within this framework

Invariant actions are constructed for broken symmetry groups

Abstract

In this paper we present the two-parameter dynamics which is implied by the law of inertia in flat spacetime. A remarkable perception is that (A)dS4 geometry may emerge from the two-parameter dynamics, which exhibits some phenomenon of dynamics/ geometry correspondence. We also discuss the Unruh effects within the context of two-parameter dynamics. In the last section we construct various invariant actions with respect to the broken symmetry groups.