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

被引:16
作者
Petit, F
Sarrazin, M
机构
[1] Belgian Ceram Res Ctr, B-7000 Mons, Belgium
[2] Fac Univ Notre Dame Paix, Phys Solide Lab, B-5000 Namur, Belgium
关键词
fermions oscillations; non-commutative geometry;
D O I
10.1016/j.physletb.2005.03.016
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:105 / 114
页数:10
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