Cooperative dynamical processes: the emergence of relativistic quantum theory

Emergent Quantum Mechanics 2013

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: Cooperative process;    Relativistic particles;    Relativistic quantum mechanics;    Relativistic quantum theory;    Space distribution;    Stochastic dynamics;    Transition amplitudes;    Transition probabilities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/504/1/012012/pdf
DOI  :  10.1088/1742-6596/504/1/012012

学科分类：力学，机械学

来源: IOP

【 摘 要 】

There is a theoretical evidence that relativistically invariant quantum dynamics at (enough) large space-time scales can result from a cooperative process of two inter-correlated non-relativistic stochastic dynamics, operating at different energy scales. We show that the Euclidean transition amplitude for a relativistic particle is identical to the transition probability of a Brownian particle propagating in a granular space. We discuss the issue of the robustness of the special-relativistic quantum mechanics thus obtained under small changes in the granular-space distribution. Experimental implications for early Universe cosmology are also briefly outlined.