Special relativity induced by granular space
نویسندگان
چکیده
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.
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