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Quantum mechanics as demanded by the special theory of relativity

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Abstract

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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References

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    J. d'Espagnat,Foundations of Quantum Mechanics (Academic Press, New York, 1971), and references quoted therein.

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    E. Nelson,Dynamical Theories of Brownian Motion (Princeton Univ. Press, Princeton, 1967), and references quoted therein.

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    F. Guerra and P. Ruggiero,Phys. Rev. Lett. 31, 1022 (1973), and references quoted therein.

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    D. Bohm,Phys. Rev. 85, 166, 180 (1952).

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Harding, C. Quantum mechanics as demanded by the special theory of relativity. Found Phys 7, 69–76 (1977). https://doi.org/10.1007/BF00715242

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Keywords

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