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The beauty of curved momentum space

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arxiv 2303.08220 v1 pith:ITBIMWPR submitted 2023-03-14 hep-th math-phmath.MPquant-ph

S. A. Franchino-Viñas , S. Mignemi , J. J. Relancio This is my paper · ORCID
classification hep-thmath-phmath.MPquant-ph
keywords spacewillcurveddoublymomentumrelativityspecialalgebras
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In this manuscript, we will discuss the notion of curved momentum space, as it arises in the discussion of noncommutative or doubly special relativity theories. We will illustrate it with two simple examples, the Casimir effect in anti-Snyder space and the introduction of fermions in doubly special relativity. We will point out the existence of intriguing results, which suggest nontrivial connections with spectral geometry and Hopf algebras.

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  1. Fermion quasinormal modes on modified RN background

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Charged massless fermion quasinormal modes in a noncommutatively deformed Reissner-Nordström black hole show a linear, azimuthal-quantum-number-dependent splitting of the complex mode frequencies.

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