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Quantum mechanics as demanded by the special theory of relativity

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We present a new approach on the interpretation of the quantum mechanism. The derivation is phenomenological and incorporates an energetic vacuum which interacts with elementary particles. We consider a classical ensemble average for the square of 4-velocities of identical elementary particles with the same initial conditions in Minkowski space. The relativistic extension of a result in Brownian motion allows the variance to be identified with Bohm's quantum potential. A simple relation between 4-velocities and 4-momenta at a specific 4-position with given proper time leads to one of two statistical equations that constitute our quantum theory, the other being the continuity equation. The Klein-Gordon equation is a consequence of these two statistical equations.

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Harding, C. Quantum mechanics as demanded by the special theory of relativity. Found Phys 7, 69–76 (1977).

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  • Elementary Particle
  • Quantum Mechanic
  • Brownian Motion
  • Quantum Theory
  • Statistical Equation