Fractional relativity

2018/09/27 by Tower Wang, Wang, Tower
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #General Physics (physics.gen-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1810.01249

openalex publication_date 2018/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By fractional relativity we mean a theoretical framework to study physics with the dispersion relation E^α=m^αc^2α+p^αc^α, which recovers special relativity at α=2. One such framework is established in a particular curved energy-momentum space. It is shown that the fractional Schrödinger equation arises as a nonrelativistic limit of the Klein-Gordon equation in fractional relativity. In this framework, the relative locality makes no contribution to the position uncertainty at the classical level, and the Faraday's law in classical electrodynamics is modified by fractional derivatives.

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