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Non-Pauli Effects from Noncommutative Spacetimes

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arxiv 1006.1185 v2 pith:CB6LDG6Z submitted 2010-06-07 hep-th gr-qchep-ph

Non-Pauli Effects from Noncommutative Spacetimes

classification hep-th gr-qchep-ph
keywords spacetimeseffectsnon-paulinoncommutativepaulispacetimearguearguments
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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