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Logical inference approach to relativistic quantum mechanics: derivation of the Klein-Gordon equation

The logical inference approach to quantum theory, proposed earlier [Ann. Phys. 347 (2014) 45-73], is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data collected by probing the particle is obtained from the most robust experiment and that on average, the classical relativistic equation of motion of a particle holds.

preprint2016arXivOpen access
H. C. DonkerM. I. KatsnelsonH. De RaedtK. Michielsen
quant-ph
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H. C. DonkerM. I. KatsnelsonH. De RaedtK. Michielsen

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