Manifestation of additional dimensions of space-time in mesoscopic systems

TL;DR

This paper proposes that superpositions of fermionic states in mesoscopic systems imply the existence of additional spinor dimensions in space-time, suggesting experiments to observe these dimensions and support supersymmetry theories.

Contribution

It introduces the concept of additional spinor dimensions in space-time arising from fermionic superpositions and proposes experiments in mesoscopic systems to observe these dimensions.

Findings

Superpositions of fermionic states imply extra spinor dimensions.

Proposed experiments could observe these additional dimensions.

Supports the concept of superspace in quantum field theory.

Abstract

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.