Quantum Mechanics Without Geometry
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2026
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| _version_ | 1866901919187861504 |
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| author | Cooney, Paul |
| author_facet | Cooney, Paul |
| contents | <h2><strong>Arc V — Gravity & Quantum Theory</strong></h2> <h3><strong>Paper 8</strong></h3> <h3><strong>Title</strong></h3> <p><strong>Quantum Mechanics Without Geometry</strong></p> <h3><strong>Zenodo DOI</strong></h3> <p><strong>10.5281/zenodo.18226024</strong></p> <h3><strong>Description</strong></h3> <p>This paper presents a fully non-geometric formulation of quantum mechanics, completing the quantum arc of the finite-accessibility program. Building on the purification-based reconstruction of Paper V.7, it shows that quantum theory neither requires nor benefits from geometric ontology at the fundamental level.</p> <p>Measurement, collapse, and nonlocality are reinterpreted as changes in operational accessibility rather than physical processes occurring in spacetime. Observables are defined as elements of context-dependent accessible algebras, and measurement is treated as the activation of an accessibility horizon that selects a subalgebra without invoking wavefunction realism or spacetime projection.</p> <p>Within this framework, Bell inequality violations arise from the impossibility of embedding incompatible operational contexts into a single geometric structure, rather than from nonlocal dynamics. Similarly, Wigner-type paradoxes and observer-dependent state assignments are resolved as bookkeeping conflicts between distinct accessibility horizons.</p> <p>The paper demonstrates that all empirical predictions of quantum mechanics are preserved exactly, while the conceptual pathologies associated with geometric interpretation are eliminated. Quantum mechanics is revealed as a theory of constrained inference and context activation, with geometry appearing only later as a classical, intersubjective record structure.</p> <p>This work closes the quantum-reconstruction arc by showing that purification-complete quantum mechanics is intrinsically post-geometric.</p> <h3><strong>Keywords</strong></h3> <p>quantum foundations; non-geometric quantum mechanics; measurement problem; Bell inequalities; operational horizons; contextuality</p> <h3><strong>Notes</strong></h3> <ul> <li> <p>Arc V — Gravity & Quantum Theory (quantum foundations)</p> </li> <li> <p>Quantum mechanics reformulated without spacetime ontology</p> </li> <li> <p>Measurement as accessibility-horizon activation</p> </li> <li> <p>Bell violations explained without nonlocal causation</p> </li> <li> <p>Conceptual closure of the quantum arc of the program</p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18226024 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Mechanics Without Geometry Cooney, Paul <h2><strong>Arc V — Gravity & Quantum Theory</strong></h2> <h3><strong>Paper 8</strong></h3> <h3><strong>Title</strong></h3> <p><strong>Quantum Mechanics Without Geometry</strong></p> <h3><strong>Zenodo DOI</strong></h3> <p><strong>10.5281/zenodo.18226024</strong></p> <h3><strong>Description</strong></h3> <p>This paper presents a fully non-geometric formulation of quantum mechanics, completing the quantum arc of the finite-accessibility program. Building on the purification-based reconstruction of Paper V.7, it shows that quantum theory neither requires nor benefits from geometric ontology at the fundamental level.</p> <p>Measurement, collapse, and nonlocality are reinterpreted as changes in operational accessibility rather than physical processes occurring in spacetime. Observables are defined as elements of context-dependent accessible algebras, and measurement is treated as the activation of an accessibility horizon that selects a subalgebra without invoking wavefunction realism or spacetime projection.</p> <p>Within this framework, Bell inequality violations arise from the impossibility of embedding incompatible operational contexts into a single geometric structure, rather than from nonlocal dynamics. Similarly, Wigner-type paradoxes and observer-dependent state assignments are resolved as bookkeeping conflicts between distinct accessibility horizons.</p> <p>The paper demonstrates that all empirical predictions of quantum mechanics are preserved exactly, while the conceptual pathologies associated with geometric interpretation are eliminated. Quantum mechanics is revealed as a theory of constrained inference and context activation, with geometry appearing only later as a classical, intersubjective record structure.</p> <p>This work closes the quantum-reconstruction arc by showing that purification-complete quantum mechanics is intrinsically post-geometric.</p> <h3><strong>Keywords</strong></h3> <p>quantum foundations; non-geometric quantum mechanics; measurement problem; Bell inequalities; operational horizons; contextuality</p> <h3><strong>Notes</strong></h3> <ul> <li> <p>Arc V — Gravity & Quantum Theory (quantum foundations)</p> </li> <li> <p>Quantum mechanics reformulated without spacetime ontology</p> </li> <li> <p>Measurement as accessibility-horizon activation</p> </li> <li> <p>Bell violations explained without nonlocal causation</p> </li> <li> <p>Conceptual closure of the quantum arc of the program</p> </li> </ul> |
| title | Quantum Mechanics Without Geometry |
| url | https://doi.org/10.5281/zenodo.18226024 |