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Many works, aiming to explain the origin of dark matter or dark energy,consider the existence of hidden (brane)worlds parallel to our own visibleworld - our usual universe - in a multidimensional bulk. Hidden braneworldsallow for hidden copies of the Standard Model. For instance, atoms hidden in ahidden brane could exist as dark matter candidates. As a way to constrain suchhypotheses, the possibility for neutron-hidden neutron swapping can be testedthanks to disappearance-reappearance experiments also known aspassing-through-walls neutron experiments. The neutron-hidden neutron coupling$g$ can be constrained from those experiments. While $g$ could be arbitrarilysmall, previous works involving a $M_4 \times R_1$ bulk, with DGP branes, showthat $g$ then possesses a value which is reachable experimentally. It is ofcrucial interest to know if a reachable value for $g$ is universal or not andto estimate its magnitude. Indeed, it would allow, in a near future, to rejectdefinitively - or not - the existence of hidden braneworlds from experiments.In the present paper, we explore this issue by calculating $g$ for DGP branes,for $M_4 \times S_1/Z_2$, $M_4 \times R_2$ and $M_4 \times T^2$ bulks. As amajor result, no disappearance-reappearance experiment would definitivelyuniversally rules out the existence of hidden worlds endowed with their owncopy of Standard Model particles, excepted for specific scenarios withconditions reachable in future experiments.

international journal of modern physics a

Can neutron disappearance/reappearance experiments definitively rule out  the existence of hidden braneworlds endowed with a copy of the Standard  Model?