The beauty of curved momentum space

2023/03/14 by S. A. Franchino-Viñas, Franchino-Viñas, S. A., S. Mignemi +3 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2303.08220

openalex publication_date 2023/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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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