Logical inference approach to relativistic quantum mechanics: Derivation of the KleinGordon equation

The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), 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. © 2016 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). ∗ Correspondence to: Radboud University, Institute for Molecules and Materials,Theory of Condensed Matter, P.O. box 9010/60, 6500 GL Nijmegen, The Netherlands. E-mail address: [email protected] (H.C. Donker). http://dx.doi.org/10.1016/j.aop.2016.04.018 0003-4916/© 2016 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/). H.C. Donker et al. / Annals of Physics 372 (2016) 74–82 75