This preprint develops a structural reinterpretation of quantum collapse within the Model of General Quasi-Coherence (MGQC). The article does not claim to replace standard quantum mechanics or to provide a completed physical theory. Its aim is more limited and foundational: to propose a mathematical and conceptual framework in which part of the apparent indeterminacy of measurement may be reconsidered as an effect of structural projection under a severely restricted observational regime. The paper introduces the quasi-number Q=(r,θ,τ,μ) as a structured state of magnitude, orientation, torsion, and structural accumulation, and studies a non-injective collapse map from a richer state domain to scalar visible output. On this basis, the article examines collapse multiplicity, apparent randomness, phase suppression, noncommutativity as structurally accumulated order-dependence, and a cautious fibered interpretation of the collapse architecture. It also discusses the distinction between geometric rank and internal structural richness in D1-, D2-, and D3-type regimes. The contribution of the preprint is foundational and structural rather than fully predictive. It is intended as a work in mathematical foundations and theoretical interpretation, and as part of an ongoing research program aimed at clarifying the relation between structured antecedent states, collapse, and visible measurement output. This preprint forms part of the Model of General Quasi-Coherence (MGQC) research program. The author publishes under the name Antonio Dominguez-Digat. Earlier records may appear under Antonio Domínguez, Antonio Dominguez, or Antonio Dominguez Digat.
This preprint develops a structural reinterpretation of quantum collapse within the Model of General Quasi-Coherence (MGQC). The article does not claim to replace standard quantum mechanics or to provide a completed physical theory. Its aim is more limited and foundational: to propose a mathematical and conceptual framework in which part of the apparent indeterminacy of measurement may be reconsidered as an effect of structural projection under a severely restricted observational regime. The paper introduces the quasi-number Q=(r,θ,τ,μ) as a structured state of magnitude, orientation, torsion, and structural accumulation, and studies a non-injective collapse map from a richer state domain to scalar visible output. On this basis, the article examines collapse multiplicity, apparent randomness, phase suppression, noncommutativity as structurally accumulated order-dependence, and a cautious fibered interpretation of the collapse architecture. It also discusses the distinction between geometric rank and internal structural richness in D1-, D2-, and D3-type regimes. The contribution of the preprint is foundational and structural rather than fully predictive. It is intended as a work in mathematical foundations and theoretical interpretation, and as part of an ongoing research program aimed at clarifying the relation between structured antecedent states, collapse, and visible measurement output. This preprint forms part of the Model of General Quasi-Coherence (MGQC) research program. The author publishes under the name Antonio Dominguez-Digat. Earlier records may appear under Antonio Domínguez, Antonio Dominguez, or Antonio Dominguez Digat.
This preprint develops the axiomatic and ontological framework underlying the concept of quasi-magnitude and coherent collapse. It formalizes a pre-collapsed domain of quasi-states from which classical real numbers emerge as highly restricted projections. The article provides the formal mechanism that complements earlier structural and geometric analyses of the real line, clarifying how sign, order, absolute value, and commutativity arise as emergent consequences of collapse rather than as primitive properties. This work is intended to serve as the logical core of a broader program on quasi-numerical structures and their extensions beyond the real line. This work forms part of the research program Model of General Quasi-Coherence (MGQC).
This work re-examines the long-standing interpretation problems of quantum mechanics—measurement, collapse, probability, irreversibility, the observer, and entanglement—not by proposing a new physical theory, but by relocating the structure of the questionsthat have framed these problems. The paper argues that many interpretational tensions arise not from the formalism itself,but from how concepts such as measurement, state, time, and probability have beenpositioned within the explanatory structure. Measurement is treated not as a privilegedphysical event, but as a structural condition associated with record formation.Collapse is interpreted as the unavoidable fixation of perspective once such records exist,rather than as a dynamical process added to the theory. Time is relocated from a global background parameter to a local phenomenon that appearsonly while interactions remain unresolved. Irreversibility is accordingly understoodnot as a fundamental temporal direction, but as the closure of a perspective.Probability is reinterpreted not as future uncertainty or intrinsic randomness,but as a structural summary of how multiple interactions close in the present. The observer is not treated as an external subject or agent, but as a boundary positionat which correlations between system and environment become fixed.Entanglement is understood not as nonlocal influence, but as the manifestation ofan indivisible whole structure that cannot be decomposed into independent parts. This work does not modify the mathematical formalism or predictive success of quantum mechanics.Instead, it constrains the interpretational space by showing how different questionsabout the same formal results generate persistent disagreement.The contribution is therefore conceptual rather than predictive,and is intended as a foundation for further discussion in quantum foundationsand phase-based theoretical frameworks.
TitleStructural Observability: A Framework for Quantum Measurement and Probability This paper proposes the Structural Observability (SO) framework for interpreting quantum measurement and probability. The framework distinguishes between a Complete Relational Configuration (CRC), representing the full relational structure of reality, and the Limited Observational Reference Frame (L-ORF), representing the restricted observational perspective available to observers embedded within spacetime. Within this structure, definite outcomes arise when components of a system’s state become associated with distinguishable physical records in spacetime, a condition termed Structural Observability. Quantum probabilities then arise from the structural limitations imposed by the L-ORF description rather than from fundamental randomness in the underlying configuration. The framework preserves the standard mathematical formalism of quantum mechanics—Hilbert space, unitary evolution, and the Born rule—while providing a structural account of why these elements appear in the observational description. Version 2 — What's new: This version represents a substantial development of the framework presented in Version 1. Major additions include: a formal mathematical structure section with five axioms for the accessibility map Λ, a causal context space (Σ, ≤) making the temporal structure of the framework explicit, and a three-part Structural Observability condition stated as a formal definition with a proof that decoherence is necessary but not sufficient for SO. Six worked examples are included, replacing the purely conceptual treatment of Version 1. Two novel experimental predictions are introduced: a first prediction concerning a critical stability threshold τ below which raw unpost-selected interference is directly observable, and a second prediction concerning a retrievability timescale τR* identified with the quantum information scrambling time, above which interference may again become observable. Together, these define a three-regime non-monotonic structure of interference visibility with no analogue in standard quantum mechanics. A full Statement on AI Assistance has been added, documenting the role of AI language models in the development of the work.* Keywords Quantum foundationsQuantum measurementBorn ruleDecoherenceRelational physics Structural observabilityQuantum interpretation
This paper presents Dimensional Evolution — Quantum Measurement and Identity Formation (DE-QM), a geometric framework addressing the quantum measurement problem while preserving the full predictive structure of standard quantum mechanics. Within DE-QM, the wavefunction is treated as a resonance-geometry field rather than a probability amplitude. Superposition arises from deterministic traversal across multiple resonance-compatible configurations supported by an inverse domain, rather than from the coexistence of mutually realized states. Measurement collapse is described as a geometric stability transition governed by anchoring thresholds imposed by environmental and detector constraints. Probability emerges as a derived measure of geometric overlap between scan traversal and detector geometry, recovering the Born rule without introducing intrinsic randomness or observer-dependent postulates. The framework integrates decoherence, entanglement, and relativistic structure into a unified geometric description that remains fully compatible with nonrelativistic and relativistic quantum mechanics, including the Schrödinger and Dirac formalisms. Entanglement is treated as a shared inverse-domain resonance geometry, enabling coordinated collapse without superluminal signaling. Measurement outcomes are shown to be observer-independent and physically grounded in macroscopic anchoring geometry, consistent with established experimental results. This manuscript serves as the foundational quantum-mechanical component of the broader Dimensional Evolution framework and builds directly on prior canonical works, including the DE Core paper, companion papers CP1–CP5, and specialized studies addressing the Mott problem and Dirac structure. DE-QM does not modify quantum mechanics’ mathematical formalism; rather, it provides a coherent geometric ontology underlying wavefunction structure, superposition, collapse, and probability. --- Project website: https://de-theory.com This work is part of the Dimensional Evolution research program. Additional materials, updates, and contact information will be made available via the project website as the work expands.
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 preprint presents a speculative theoretical framework for interpreting quantum statistical behavior as a possible consequence of structural information loss beyond ordinary environmental decoherence. The work builds on a previous dimensional projection model, but reformulates the idea in the language of quantum information. Instead of treating observation as direct access to a complete physical structure, the framework proposes that an observer accesses only a reduced manifestation of a larger structure. This reduction is interpreted as a form of non-invertible projection, where part of the information remains inaccessible to the observer. Under this framework, the quantum and macroscopic regimes need not be interpreted as ontologically separate realities. They may instead represent different levels of informational access to a common underlying structure. Classical properties such as predictable position, effective trajectories, and possibly gravitational correlations may emerge when sufficient structural information becomes accessible or effectively stabilized, while quantum behavior appears when the observer has access only to a reduced projection of the complete state.