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- Title
Special relativity induced by granular space.
- Authors
Jizba, Petr; Scardigli, Fabio
- Abstract
We show that the special relativistic dynamics, when combined with quantum mechanics and the concept of superstatistics, can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This framework leads to Feynman amplitudes that are, in the Euclidean regime, identical to the transition probability of a Brownian particle propagating through a granular space. For illustration we consider the dynamics and the propagator of a Klein-Gordon particle. Implications for deformed special relativity, quantum field theory, quantum gravity and cosmology are also discussed.
- Subjects
SPECIAL relativity (Physics); GRANULAR materials; NUCLEAR energy; FEYNMAN diagrams; KLEIN-Gordon equation; PARTICLES (Nuclear physics); QUANTUM gravity; QUANTUM field theory; METAPHYSICAL cosmology
- Publication
European Physical Journal C -- Particles & Fields, 2013, Vol 73, Issue 7, p1
- ISSN
1434-6044
- Publication type
Letter
- DOI
10.1140/epjc/s10052-013-2491-x