Einstein's Worries and Actual Physics: Beyond Pilot Waves
Partha Ghose

TL;DR
This paper critiques pilot-wave theory, proposing stochastic mechanics and category-theoretic semantics as deeper, more coherent foundations for quantum physics that address measurement and nonlocality issues.
Contribution
It introduces stochastic mechanics and a category-theoretic approach as novel frameworks surpassing pilot-wave theory in explaining quantum phenomena.
Findings
Wavefunction and Born rule emerge from diffusion processes
Measurement and Bell correlations are reinterpreted as contextual truths
Classical Schrödinger equation provides a continuous quantum-classical transition
Abstract
Tim Maudlin has argued that the standard formulation of quantum mechanics fails to provide a clear ontology and dynamics and that the de Broglie--Bohm pilot-wave theory offers a better completion of the formalism, more in line with Einstein's concerns. I suggest that while Bohmian mechanics improves on textbook quantum theory, it does not go far enough. In particular, it relies on the ``quantum equilibrium hypothesis'' and accepts explicit nonlocality as fundamental. A deeper completion is available in stochastic mechanics, where the wavefunction and the Born rule emerge from an underlying diffusion process, and in a contextual, category-theoretic semantics in which measurement and EPR--Bell correlations are reinterpreted as features of contextual truth rather than of mysterious dynamics. In this framework, the measurement problem and ``spooky action-at-a-distance'' are dissolved rather…
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Taxonomy
TopicsQuantum Mechanics and Applications · Philosophy and History of Science · Relativity and Gravitational Theory
