A Testable Locally Real Representation of Quantum Mechanics in Agreement with Performed Experiments

Abstract

A locally real representation of quantum mechanics deduced from the underlying quantum formalism is presented here. The representation is based upon Mirell's local hidden variable theory, an LHVT, [doi: 10.1103/PhysRevA.65.032102] that provides correlations in agreement with reported Bell experiments. Conversely, the non-local phenomenon of entanglement is necessarily invoked by the Copenhagen Interpretation of that formalism for those reported experiments by maintaining that the formalism is complete. Although a broad class of LHVT's has been disproven by Bell's inequality, Mirell's LHVT is identifiable as a special exempted case by its inherent inclusion of the property of enhancement. Clauser and Horne [doi: 10.1103/PhysRevD.10526] showed that LHVT's with the property of enhancement are not testable by Bell's inequality. In order to address that lack of testability, the representation presented here substantially expands on Mirell's earlier LHVT by self-consistently demonstrating locally real photon state transits of common loop configurations, transits that necessarily invoke non-local superposition under the Copenhagen Interpretation of the quantum formalism. We then analyze those locally real transits and deduce methods to re-engineer the loop configurations to achieve selected output state distributions and show that these re-engineered configurations are predicted by the present representation to yield novel distributions of locally real states. Conversely, the Copenhagen Interpretation predicts corresponding output distributions for these re-engineered configurations that are unremarkable. Those mutually disparate output distributions provide the experimentally testable basis for definitively falsifying either the present locally real representation or the completeness of the original quantum formalism as postulated under the Copenhagen Interpretation.