Non-Pauli Effects from Noncommutative Spacetimes

TL;DR

This paper explores how noncommutative spacetimes can cause small violations of the Pauli principle, providing detailed calculations that support the possibility of observable non-Pauli effects due to spacetime noncommutativity.

Contribution

It offers detailed computational insights into non-Pauli effects arising from noncommutative spacetimes, extending previous work with new mathematical details and arguments.

Findings

Violations of the Pauli principle are theoretically possible in noncommutative spacetimes.

Energy conservation is modified, being conserved only modulo a certain phase.

The specific spacetime model quantizes time in discrete units, affecting quantum transitions.

Abstract

Noncommutative spacetimes lead to nonlocal quantum field theories (qft's) where spin-statistics theorems cannot be proved. For this reason, and also backed by detailed arguments, it has been suggested that they get corrected on such spacetimes leading to small violations of the Pauli principle. In a recent paper \cite{Pauli}, Pauli-forbidden transitions from spacetime noncommutativity were calculated and confronted with experiments. Here we give details of the computation missing from this paper. The latter was based on a spacetime $\mathcal{B}_{\chi\vec{n}}$ different from the Moyal plane. We argue that it quantizes time in units of $\chi$. Energy is then conserved only mod $\frac{2\pi}{\chi}$. Issues related to superselection rules raised by non-Pauli effects are also discussed in a preliminary manner.