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Many-brane universes are at the heart of several cosmological scenariosrelated to physics beyond the Standard Model. It is then a major concern toconstrain these approaches. Two-brane Universes involving $SO(3,1)$-broken 5Dbulks are among the cosmological models of interest. They also allowconsidering matter exchange between branes, a possible way to test thesescenarios. Neutron disappearance (reappearance) toward (from) the hidden braneis currently tested with high-precision experiments to constrain the couplingconstant $g$ between the visible and hidden neutron sectors. When dealing withthe sub-GeV-scale quantum dynamics of fermions, any pair of braneworlds can bedescribed by a non-commutative two-sheeted space-time $M_4\times Z_2$ fromwhich $g$ emerges. Nevertheless, the calculation of the formal link between $g$for a neutron and $SO(3,1)$-broken 5D bulks remains an open problem until nowalthough necessary to constrain these braneworld scenarios. Thanks to aphenomenological model, we derive $g$ - for a neutron - between the twobraneworlds endowed with their own copy of the standard model in a$SO(3,1)$-broken 5D bulk. Constraints on interbrane distance and brane energyscale (or brane thickness) are discussed. While brane energy scale below theGUT scale is excluded, energy scale up to the Planck limit allows neutronswapping detection in forthcoming experiments.

Sub-GeV-scale signatures of hidden braneworlds up to the Planck scale in a $SO(3,1)$-broken bulk