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.
Original language | English |
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Pages (from-to) | 105-114 |
Number of pages | 10 |
Journal | Physics Letters B |
Volume | 612 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 2005 |