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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J. d'Espagnat,Foundations of Quantum Mechanics (Academic Press, New York, 1971), and references quoted therein.
E. Nelson,Dynamical Theories of Brownian Motion (Princeton Univ. Press, Princeton, 1967), and references quoted therein.
F. Guerra and P. Ruggiero,Phys. Rev. Lett. 31, 1022 (1973), and references quoted therein.
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
- Elementary Particle
- Quantum Mechanic
- Brownian Motion
- Quantum Theory
- Statistical Equation