Derivation of the Dirac Equation from Principles of Information Processing

PHYSICAL REVIEW A, no. 6 (2014)

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Without using the relativity principle, we show how the Dirac equation in three space dimensions emerges from the large-scale dynamics of the minimal nontrivial quantum cellular automaton satisfying unitarity, locality, homogeneity, and discrete isotropy. The Dirac equation is recovered for small wave vector and inertial mass, whereas Lor...更多

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