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Completing Quantum Mechanics within the Framework of Local Realism

Publicada
Servidor
Preprints.org
DOI
10.20944/preprints202503.0798.v5

In the Einstein-Bohr debate, Einstein considered quantum mechanics incomplete and disagreed with Born's probabilistic interpretation of wave-functions. Observers in the axioms of the theory also bothered Einstein. Inspired by Einstein, Bell and his followers intended to complete quantum mechanics within the framework of local realism. Regrettably, the deterministic correlation between distant components of a separable system in Einstein's local-realist description of the world is mistaken for non-locality in the world described by Bell's theorem, which interprets the experimental results of testing Bell inequalities incorrectly. This article introduces a new principle, the general principle of measurements, which is proved as a mathematical theorem, allowing quantum mechanics to be completed within the framework of local realism while keeping the definition of a general Hilbert space unchanged. Using disjunction (``or'') as the logical relation between superposed orthonormal vectors, the completed quantum theory provides the same probabilistic predictions of empirical results as those provided by the current version of the theory, precludes inexplicable collapses of wave-functions, eliminates observers from the axioms of quantum mechanics, and is intuitively comprehensible, thus alleviating much difficulty experienced by many people in understanding the theory in its present form. Among various world views, Einstein's local-realist world view is correct.

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