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Quantum dynamics of massive particles in a non-commutative two-sheeted space-time

Fabrice Petit·Michael Sarrazin
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Abstract

We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which can then be identified as matter and hidden-matter states. Our model exhibit several interesting features that could have observational consequences. Among them, we predict a small electromagnetic coupling between matter and hidden matter universes which should lead to matter/hidden matter oscillations in presence of intense electromagnetic vector potentials.

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Fabrice Petit, Michael Sarrazin. 2005-03-07. Quantum dynamics of massive particles in a non-commutative two-sheeted space-time. https://doi.org/10.1016/j.physletb.2005.03.016

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