Granular universe: statistical origin of special and doubly special relativity

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Jizba, Petr^1 ; Scardigli, Fabio^2

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

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012054/pdf
DOI  :  10.1088/1742-6596/442/1/012054

学科分类：力学，机械学

来源: IOP

【 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.