Matter swapping between two braneworlds from the equivalence between two-brane worlds and noncommutative two-sheeted spacetimes

TL;DR

This paper demonstrates that two-brane worlds can be modeled as noncommutative two-sheeted spacetimes, predicting matter swapping via fermionic oscillations induced by magnetic potentials, offering a potential experimental probe of extra dimensions.

Contribution

It establishes a model-independent equivalence between two-brane worlds and noncommutative spacetimes, predicting matter swapping phenomena.

Findings

Matter swapping between branes is possible through fermionic oscillations.

Magnetic vector potentials can induce matter exchange.

The phenomenon offers a new way to experimentally detect extra dimensions.

Abstract

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 implies a model-independent phenomenology: Matter swapping between the two 3-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 very affordable way.