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

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.

Experimental limits on neutron disappearance into another braneworld

“…In the present work we discuss the possibility that an astrophysical magnetic vector potential could lead to such a matter 1 The model used in the present work can be proved and derived [15] from a domain wall approach in which the Dvali-Gabadadze-Shifman mechanism [23] is responsible for the gauge field localization on the brane. This mechanism allows electric charge leaks [23] contrary to other models, such as the bubble brane approach [3] for instance.…”

“…Testing the existence of branes or extra dimensions is therefore becoming a fundamental challenge. Such evidences are expected to be obtained through high energy collisions [2][3][4], but it has been also demonstrated that some detectable effects could also be observed at low energy [2,3,[5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] . This is the topic of the present paper.…”

“…In previous works [15,16], it was shown that in a Universe containing two parallel braneworlds invisible to each other, the quantum dynamics of a spin−1/2 fermion can be described by a two-brane Pauli equation at low energies. For a neutron outside a nucleus, in electromagnetic and gravitational fields, the relevant equations can be written as [15]:…”

“…In previous works [15][16][17][18][19], two of the present authors (Sarrazin and Petit) have shown that for a bulk containing at least two parallel 3-branes hidden to each other, matter swapping between these two worlds should occur. The particle must be massive, can be electrically charged 1 or not, but must be endowed with a magnetic moment.…”

“…For a neutron outside a nucleus, in electromagnetic and gravitational fields, the relevant equations can be written as [15]:…”