Emergent phenomenology from deterministic Cartan-Randers systems

TL;DR

This paper explores deterministic Cartan-Randers models to derive emergent phenomenological features like gauge symmetry, maximal acceleration, and invariance principles, predicting universal maximal acceleration and dualized gauge symmetries.

Contribution

It introduces a novel deterministic framework that explains emergent gauge symmetries and invariance principles, predicting universal maximal acceleration and dualized gauge sectors.

Findings

Universal maximal acceleration ~10^{52} m/s^2

Gauge symmetries must be dualized with an abelian sector

Emergent invariance principles from deterministic models

Abstract

We consider specific deterministic quantum models of Cartan-Randers type and show how a dualized abelian gauge symmetry, diffeomorphism invariance, the Principle of Inertia, reversibility of phenomenological dynamics, maximal acceleration and maximal propagation speed for matter arise from such models in an phenomenological description. Two particular predictions are highlighted: the first is the value of maximal acceleration is universal and has the value of order 10^{52} m/s^2. The second prediction is that gauge symmetries in phenomenological models must come dualized and containing an abelian sector.