Matter Localization and Resonant Deconfinement in a Two-Sheeted Space–time

Abstract

In recent papers, a model of a two-sheeted spacetime M4 × Z2 was introduced and the quantum dynamics of massive fermions was studied in this framework. In the present study, we show that the physical predictions of the model are perfectly consistent with observations and most important, it can solve the puzzling problem of the four-dimensional localization of the fermion species in multidimensional spacetimes. It is demonstrated that fermion localization on the sheets arises from the combination of the discrete bulk structure and environmental interactions. The mechanism described in this paper can be seen as an alternative to the domain wall localization arising in continuous five dimensional spacetimes. Although tightly constrained, motions between the sheets are, however, not completely prohibited. As an illustration, a resonant mechanism through which fermion oscillations between the sheets might occur is described.

Experimental limits on neutron disappearance into another braneworld

“…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.…”

“…Note that the probability does not depend on the neutron spin state by contrast with the magnetic vector potential direction in space. As detailed in previous papers [17,18], the environmental interactions (related to V ± ) are usually strong enough to almost suppress these oscillations. This can be verified by considering Eq.…”

“…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 [17,18], it has been suggested that a rotative magnetic vector potential could be considered instead of a static one. In that case a resonant swapping occurs with Rabi oscillations given by:…”

“…More important, this new effect − different from those previously described in literature − could be detected and controlled with present day technology which opens the door to a possible experimental confirmation of the braneworld hypothesis. For charged particles, the swapping is possible though a few more difficult to achieve [17]. As a consequence, for a sake of simplicity and in order to be able to distinguish the swapping effect with other kind of predicted phenomena, we suggested the use of neutron for a prospective experiment.…”