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تسجيل مستخدم جديدDerivation of the Dirac Equation from Principles of Information Processing
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We show how the Dirac equation in three space-dimensions emerges from the large-scale dynamics of the minimal nontrivial quantum cellular automaton satisfying unitariety, locality, homogeneity, and discrete isotropy, without using the relativity principle. The Dirac equation is recovered for small wave-vector and inertial mass, whereas Lorentz covariance is distorted in the ultra-relativistic limit. The automaton can thus be regarded as a theory unifying scales from Planck to Fermi. A simple asymptotic approach leads to a dispersive Schroedinger equation describing the evolution of narrow-band states at all scales.
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In this work we present a derivation of Diracs equation in a curved space-time starting from a Weyl-invariant action principle in 4+K dimensions. The Weyl invariance of Diracs equation (and of Quantum Mechanics in general) is made possible by observi
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A rigorous textit{ab initio} derivation of the (square of) Diracs equation for a single particle with spin is presented. The general Hamilton-Jacobi equation for the particle expressed in terms of a background Weyls conformal geometry is found to be
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