Equivalence between domain-walls and "noncommutative" two-sheeted spacetimes: Model-independent matter swapping between branes

TL;DR

This paper demonstrates a mathematical equivalence between domain-wall universe models and noncommutative geometries, revealing a model-independent way for matter to swap between branes via fermionic oscillations, potentially observable experimentally.

Contribution

It establishes a model-independent equivalence between domain-wall and noncommutative two-sheeted spacetimes, predicting matter swapping phenomena between branes.

Findings

Mathematical equivalence between domain-walls and noncommutative geometries.

Prediction of matter swapping via fermionic oscillations induced by magnetic potentials.

Potential experimental observability of extra-dimensional effects.

Abstract

We report a mathematical equivalence between certain models of universe relying on domain-walls and noncommutative geometries. It is shown that a two-brane world made of two domain-walls can be seen as a "noncommutative" two-sheeted spacetime under certain assumptions. This equivalence also implies a model-independent phenomenology which is presently studied. Matter swapping between the two branes (or sheets) is predicted through fermionic oscillations induced by magnetic vector potentials. This phenomenon, which might be experimentally studied, could reveal the existence of extra dimensions in a new and accessible way.