Manifestation of additional dimensions of space-time in mesoscopic systems

Details Manifestation of additional dimensions of space-time in mesoscopic systems Manifestation of additional dimensions of space-time in mesoscopic systems

2003-02-06

arxiv.org/abs/hep-th/0302040v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures; Corrected typos

Scientific paper

10.1103/PhysRevB.68.155419

We note that the existence of physical states which are coherent superpositions of states with even and odd numbers of fermions means the existence, together with x,y,z,t, of additional spinor dimensions of space-time. A system with variable number of electrons is described in which such superpositions are realized. Experiments with mesoscopic condensed matter systems are suggested which generalize the experiment of Nakamura et al. and may provide direct observation of such superpositions and, thereby, justify the reality of a superspace with additional spinor dimensions introduced in quantum field theory to account for supersymmetry. The nature of additional dimensions of space-time is elucidated for nonrelativistic systems.

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