The Partial Closure Rosetta Stone - Quantum Mechanics as Atomic Continuum Ontology

Philip Lilien

Published Jul 9, 2026• 0 citations

Abstract

Central Thesis Quantum mechanics describes ACO partial closure, not AO completed objecthood. Quantum paradox arises when AO completed-object expectations are projected onto ACO partial closure. Quantum mechanics is mathematically successful but ontologically unstable. Its formalism describes wavefunctions, probability amplitudes, operators, eigenstates, superpositions, entanglement, and measurement outcomes with extraordinary precision, yet these structures become paradoxical when interpreted through the assumptions of completed atomic objecthood. This paper proposes a translation framework between Atomic Ontology and Atomic Continuum Ontology. Atomic Ontology treats particles, properties, positions, and separability as completed primitives. Atomic Continuum Ontology instead understands the quantum domain as a regime of partial closure: structured admissibility prior to full object-like reclosure. The central thesis is that quantum mechanics describes ACO partial closure, while many quantum paradoxes arise from projecting AO completed-object expectations backward onto that partial-closure regime. The paper introduces the ACO-to-AO reclosure ladder, interprets differential equations as closure conditions, translates quantum operators as admissibility constraints, and reframes wavefunction, measurement, superposition, entanglement, tunneling, uncertainty, and classicality through closure mathematics. The result is not a rejection of quantum mechanics, but a Rosetta Stone for translating its mathematical success into a clarified ontology. Keywords: Atomic Continuum Ontology; Atomic Ontology; partial closure; reclosure; quantum mechanics; wavefunction; measurement; entanglement; closure mathematics.

DOI: 10.5281/zenodo.21270537

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