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

Fabrice PETIT; Michael Sarrazin

doi:10.1016/j.physletb.2005.03.016

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

Fabrice PETIT, Michael Sarrazin

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Résumé

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.

langue originale	Anglais
Pages (de - à)	105-114
Nombre de pages	10
journal	Physics Letters B
Volume	612
Numéro de publication	3-4
Les DOIs	https://doi.org/10.1016/j.physletb.2005.03.016
Etat de la publication	Publié - 2005

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10.1016/j.physletb.2005.03.016

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title = "Quantum dynamics of massive particles in a non-commutative two-sheeted space-time",

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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AB - 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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DO - 10.1016/j.physletb.2005.03.016

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SP - 105

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

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