This work proposes a minimal ontological framework for physical reality grounded in the principle of structural distinguishability. The foundational axiom is the non-zero distinguishability of states, from which constraints, fixation, temporal directionality, spatial structure, and stability conditions of physical configurations are systematically derived. Space is interpreted as a structure of compatibility between alternatives, while time is understood as an ordering of fixation events. The geometrization of physics is treated as a secondary descriptive language of stable regimes of distinguishability. The limits and applicability of geometric representation are analyzed in relation to quantum mechanics and gravitation. The framework does not introduce new physical equations but aims to provide an ontological reconciliation of existing formalisms in quantum theory and general relativity. The work is conceptual and structural in nature and is intended for researchers in philosophy of physics and foundations of theoretical physics.
This work proposes a minimal ontological framework for physical reality grounded in the principle of structural distinguishability. The foundational axiom is the non-zero distinguishability of states, from which constraints, fixation, temporal directionality, spatial structure, and stability conditions of physical configurations are systematically derived. Space is interpreted as a structure of compatibility between alternatives, while time is understood as an ordering of fixation events. The geometrization of physics is treated as a secondary descriptive language of stable regimes of distinguishability. The limits and applicability of geometric representation are analyzed in relation to quantum mechanics and gravitation. The framework does not introduce new physical equations but aims to provide an ontological reconciliation of existing formalisms in quantum theory and general relativity. The work is conceptual and structural in nature and is intended for researchers in philosophy of physics and foundations of theoretical physics.
This paper presents a continuous structural ontology in which quantum mechanics, field theory, and general relativity are interpreted as regime-specific descriptions of a shared underlying system. Rather than introducing new forces or modifying established equations, the framework identifies three minimal and persistent structural elements across physical regimes: admissible configuration space, propagating constraint, and geometry as the macroscopic record of accumulated interaction. The work is intentionally interpretive rather than revisionary. It proposes that physical evolution can be understood as the propagation of constraint over admissible configurations, with increasing restriction giving rise to stable structure, classical behavior, and geometric curvature. Established mathematical formalisms—including Hilbert space, field equations, and general relativity—are preserved and reinterpreted within a common structural language. This framework aims to improve conceptual continuity across quantum, field, and geometric domains while remaining fully consistent with existing empirical results. It does not claim a complete formal unification, but instead offers a minimal ontological foundation that may clarify relationships between currently distinct theoretical descriptions. This paper forms part of the broader Communication Matrix research program.
This work presents a continuous, constraint-based interpretive framework for physical systems that unifies quantum behavior, classical structure, and cosmological evolution without introducing new forces or modifying established equations. Rather than treating quantum mechanics, electromagnetism, and general relativity as fundamentally separate domains, the paper proposes that these regimes can be understood as consistent descriptions of a shared underlying structure. The framework is built on three foundational elements: a non-geometric substrate (P_0) defining admissible configurations, interaction as the propagation of constraint, and geometry as the macroscopic record of accumulated interaction. Within this perspective, physical structure emerges through a continuous progression: distinctions enable gradients, gradients enable interaction, interaction accumulates as constraint, and constraint stabilizes into persistent configurations. The quantum–classical transition is interpreted as a continuous increase in interaction-induced constraint, while spacetime curvature reflects the large-scale organization of these interactions. The framework does not replace existing theories, but instead provides a unified conceptual interpretation that remains fully consistent with established physics across known regimes. Its value lies in clarifying relationships between domains, offering a continuous ontology of physical systems, and suggesting potential directions for further formalization.
This paper introduces Axiom 0, a minimal foundational principle for physical reality: the impossibility of any globally closed description of the total correlational structure. Rather than postulating space, time, dynamics, locality, or physical laws as primitive, the framework assumes only: (i) the existence of a correlational structure, (ii) the structural impossibility of complete self-closure, and (iii) consistency under partial comparison. From these ingredients, the paper shows how: physical laws emerge as stabilizing regularities of incomplete descriptions, time, dynamics, and geometry arise as effective, regime-dependent structures, irreversibility follows from projection and information loss, and why no description can be both exact and globally complete. Non-closure is treated as an ontological constraint, not as epistemic ignorance or observer dependence. Physical reality exists precisely because complete closure is impossible, independently of observation or modeling. The paper does not attempt to replace existing physical theories or derive numerical constants. Instead, it provides a structural foundation within which effective physical theories (quantum, classical, relativistic, and open-system regimes) can be consistently understood as emergent and domain-limited. This work is intended as a conceptual and structural foundation for correlational and relational approaches to fundamental physics, clarifying the origin of laws, dynamics, and physical regularity without invoking additional ontological postulates.
This work proposes a minimal ontological framework aimed at systematically resolving key conceptual paradoxes of contemporary physics. The central claim is that many foundational difficulties of twentieth- and twenty-first-century physics arise not from empirical anomalies or mathematical inconsistencies, but from a conflation of mathematical formalism with ontological interpretation. On the basis of a small set of minimal ontological axioms, the work addresses and resolves ten fundamental paradoxes, including wave–particle duality, the measurement problem and collapse, the arrow of time, irreversibility, quantization, the nature of gravity, cosmological origin, the finiteness of the Universe, the status of singularities, and the information paradox. The proposed framework introduces no new physical entities and does not modify existing physical equations. Instead, it imposes strict ontological constraints from which these phenomena follow as necessary consequences. The work does not present an alternative physical theory, but rather an ontological foundation explaining why modern physical theories are successful and why they encounter inherent explanatory limits.
Title Ontological Uniqueness of Quantum Mechanics: A Pre-Quantum Classification Theorem Description This work addresses one of the most fundamental questions in theoretical physics: Why does nature employ quantum mechanical structure rather than alternative mathematical frameworks? We prove a rigorous classification theorem showing that quantum mechanics is not one possible theory among many, but the unique mathematical structure compatible with ontological continuity—the principle that "being cannot cease to be." Unlike previous approaches that either interpret quantum mechanics within its existing formalism (many-worlds, Bohmian mechanics) or derive it from operational measurement axioms (Gleason, Hardy, Chiribella-D'Ariano-Perinotti), this work operates at a pre-quantum logical level: we classify which geometric structures are ontologically admissible before introducing any quantum formalism. Main Result: Any theory satisfying minimal ontological requirements—continuity of being, compositional independence of subsystems, and reversibility of closed-system evolution—must describe the space of identity-classes as complex projective space ℂℙⁿ equipped with the Fubini–Study metric. Complex Hilbert space, unitary dynamics, the Schrödinger equation, and the Born rule emerge as necessary geometric consequences, not as postulates. Alternative structures (real or quaternionic projective spaces, non-homogeneous manifolds) are proven ontologically inadmissible through rigorous exclusion arguments. Key Contributions: Rigorous derivation showing that ontological composition forces a symplectic structure, which combined with homogeneity and isotropy uniquely determines Kähler geometry, selecting ℂℙⁿ as the only admissible space. Complete defense against circularity concerns, with detailed appendices showing that the axioms assume no quantum structure—they are purely ontological requirements for coherent continuous being. Systematic distinction from Gleason/Kochen-Specker theorems and operational axiomatizations, clarifying that this work classifies geometries before quantum mechanics, not constraints within it. Testable predictions in cosmology (Hubble tension resolution, matter fluctuation scaling) and quantum foundations (decoherence rates in molecular interferometry), while rigorously separating structural necessity from empirical determination. Significance: This work transforms quantum mechanics from an empirically successful but conceptually mysterious framework into an ontologically inevitable structure—comparable to Einstein's geometrization of gravity. It shows that quantum structure has no alternative: it is the only mathematical form compatible with coherent, continuous, compositional being. The manuscript includes comprehensive technical appendices with full geometric proofs, axiom justifications, and comparative analysis with existing foundational approaches. Suitable for researchers in quantum foundations, mathematical physics, philosophy of physics, and differential geometry. Document Status: Preprint submitted to Foundations of Physics (January 2026). Related Work: This work is part of the Law of Continuity of Being (LCS) research program, which derives physical and ethical structures from fundamental ontological principles. See author's ORCID profile for related publications. Open Access: This preprint is made available under CC BY 4.0 license to facilitate discussion and feedback from the research community prior to peer review.
This preprint presents a foundations-level analysis of physical description based on structural dependency rather than dynamical construction. Quantum mechanics, classical mechanics, and relativistic spacetime are treated as effective regimes arising under different structural conditions, rather than as competing ontologies. The analysis identifies persistence under interaction, irreversible constraint accumulation, stable relational structure, and interaction as minimal requirements for physical behaviour. Collapse is characterised as irreversible loss of compatibility between alternative continuations, without appeal to observers, stochastic dynamics, or additional postulates. Time is treated as structural ordering induced by exclusion, rather than as a primitive background parameter. No new dynamics are proposed and no empirically successful theories are modified. The aim is to clarify explanatory dependencies that underlie familiar physical regimes and to dissolve persistent foundational problems that arise when regime-level descriptions are misidentified as foundations.