Granular universe: statistical origin of special and doubly special relativity

[摘要] We present a new theoretical evidence that a relativistically invariant quantum dynamics at large enough space-time scales can be derived from two inter-correlated genuinely non-relativistic stochastic processes that operate at different energy scales. This leads to Feynman amplitudes that are, in the Euclidean regime, identical to transition probability of a Brownian particle propagating through a granular space. Our observation implies a preferred frame and can have distinct experimental signatures. Ensuing implications for special and doubly-special relativity, quantum field theory, quantum gravity and cosmology are discussed.

[发布机构] FNSPE, Czech Technical University in Prague, Behová 7, 115 19 Praha 1, Czech Republic^1;Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy^2

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Brownian particles;Energy scale;Quantum dynamics;Quantum field theory;Quantum gravity;Space time;Special relativity;Transition probabilities