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第一著者: Steynberg, Andre Peter
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出版事項: Zenodo 2026
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オンライン・アクセス:https://doi.org/10.5281/zenodo.19929596
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author Steynberg, Andre Peter
author_facet Steynberg, Andre Peter
contents <p>The ontology of quantum theory remains contested. Particle ontology struggles with the non-classical behavior of quantum entities, while wavefunction realism appears to locate the fundamental ontology in a high-dimensional mathematical state space rather than in ordinary physical space. Quantum field theory further complicates particle ontology by treating particle number as representation-dependent and, in interacting theories, often only emergent or approximate. This paper develops a philosophy-facing account of Geometric Monism (GM), a continuous-geometric ontology in which quantum entities are modeled as finite torsional standing-wave structures in a 5-dimensional geometric manifold governed by a universal Planck Stiffness (\kT=c^4/G\).</p> <p>The aim is not to replace the predictive formalism of quantum mechanics or quantum field theory. Rather, the paper asks whether the entities represented by those formalisms may be interpreted as continuous geometric structures rather than point particles, abstract wavefunctions, or merely emergent field excitations. GM distinguishes between continuous entity ontology and localized interaction events: entities are extended, finite, non-singular torsional structures, while observed measurement outcomes arise through boundary-conditioned interactions in accessible 4-dimensional spacetime.</p> <p>The paper presents the core ontological commitments of GM, including the active but observationally constrained embedding coordinate, the \(2\pi/4\pi\) closure distinction between bosonic and fermionic modes, the finite torsional action, and the exact 40-degree operational microscopic sector obtained by imposing the Anti-Axial Constraint \(T_{[ABC]}=0\) on the 5-dimensional torsion tensor. These commitments are then compared with point-particle ontology, wavefunction realism, Bohmian mechanics, Everettian interpretations, structural realism, and primitive ontology programs. The result is a proposed continuous-geometric primitive ontology: quantum objects are real extended geometric entities, while probabilities and measurement outcomes arise from localized boundary access to those entities.</p>
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spellingShingle Geometric Monism and the Ontology of Quantum Entities: A Continuous-Geometric Alternative to Particle and Wavefunction Ontologies
Steynberg, Andre Peter
Geometric Monism \sep quantum ontology \sep primitive ontology \sep wavefunction realism \sep particle ontology \sep quantum foundations \sep measurement problem \sep torsion \sep Planck stiffness \sep philosophy of physics
<p>The ontology of quantum theory remains contested. Particle ontology struggles with the non-classical behavior of quantum entities, while wavefunction realism appears to locate the fundamental ontology in a high-dimensional mathematical state space rather than in ordinary physical space. Quantum field theory further complicates particle ontology by treating particle number as representation-dependent and, in interacting theories, often only emergent or approximate. This paper develops a philosophy-facing account of Geometric Monism (GM), a continuous-geometric ontology in which quantum entities are modeled as finite torsional standing-wave structures in a 5-dimensional geometric manifold governed by a universal Planck Stiffness (\kT=c^4/G\).</p> <p>The aim is not to replace the predictive formalism of quantum mechanics or quantum field theory. Rather, the paper asks whether the entities represented by those formalisms may be interpreted as continuous geometric structures rather than point particles, abstract wavefunctions, or merely emergent field excitations. GM distinguishes between continuous entity ontology and localized interaction events: entities are extended, finite, non-singular torsional structures, while observed measurement outcomes arise through boundary-conditioned interactions in accessible 4-dimensional spacetime.</p> <p>The paper presents the core ontological commitments of GM, including the active but observationally constrained embedding coordinate, the \(2\pi/4\pi\) closure distinction between bosonic and fermionic modes, the finite torsional action, and the exact 40-degree operational microscopic sector obtained by imposing the Anti-Axial Constraint \(T_{[ABC]}=0\) on the 5-dimensional torsion tensor. These commitments are then compared with point-particle ontology, wavefunction realism, Bohmian mechanics, Everettian interpretations, structural realism, and primitive ontology programs. The result is a proposed continuous-geometric primitive ontology: quantum objects are real extended geometric entities, while probabilities and measurement outcomes arise from localized boundary access to those entities.</p>
title Geometric Monism and the Ontology of Quantum Entities: A Continuous-Geometric Alternative to Particle and Wavefunction Ontologies
topic Geometric Monism \sep quantum ontology \sep primitive ontology \sep wavefunction realism \sep particle ontology \sep quantum foundations \sep measurement problem \sep torsion \sep Planck stiffness \sep philosophy of physics
url https://doi.org/10.5281/zenodo.19929596