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Global Realization as a Physical Structure: A Formal Closure

Luka Gluvić

Published Feb 14, 2026• 0 citations
Publisher

Abstract

Modern physics provides empirically complete and highly successful descriptions of local dynamics. General relativity specifies the causal evolution of spacetime geometry, and quantum mechanics specifies the unitary evolution of states. Despite this success, both frameworks leave implicit a foundational question: when a dynamically admissible configuration can be regarded as physically realized as part of a coherent world. This work introduces a minimal, non-dynamical realization criterion that formally closes this gap. Physical realization is defined as a global, temporally organized admissibility condition constrained by relativistic causality. The criterion does not modify any local equations of motion, introduce new forces, fields, particles, or degrees of freedom, nor alter the mathematical structure of existing theories. Instead, it identifies realization as an organizational condition required for dynamical solutions to become physically instantiated. A minimal causal bound T = L / c is shown to follow directly from relativistic causal structure, implying a finite organizational time for global coherence across a spatial extent L. The associated inverse scale Ω = c / L is clarified as a structural constant rather than a dynamical frequency: it has no oscillatory interpretation, carries no energy, and does not represent a physical process. Its role is purely limiting—it marks the minimal global temporal orientation required for realization to persist. Within this framework, classical gravitational optics, delayed global geometric organization, and quantum outcome realization arise as direct consequences of the same realization criterion. The contribution of this work is exclusively structural: it makes explicit a condition already implicit in successful physical theories and provides a formal closure without extending or revising their dynamics. This paper concludes a broader research program on temporal realization, gravitational organization, and global coherence by isolating realization as a necessary condition for physics to describe a world at all.

DOI
10.5281/zenodo.18642358

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Modern physics provides empirically complete and highly successful descriptions of local dynamics. General relativity specifies the causal evolution of spacetime geometry, and quantum mechanics specifies the unitary evolution of states. Despite this success, both frameworks leave implicit a foundational question: when a dynamically admissible configuration can be regarded as physically realized as part of a coherent world. This work introduces a minimal, non-dynamical realization criterion that formally closes this gap. Physical realization is defined as a global, temporally organized admissibility condition constrained by relativistic causality. The criterion does not modify any local equations of motion, introduce new forces, fields, particles, or degrees of freedom, nor alter the mathematical structure of existing theories. Instead, it identifies realization as an organizational condition required for dynamical solutions to become physically instantiated. A minimal causal bound T = L / c is shown to follow directly from relativistic causal structure, implying a finite organizational time for global coherence across a spatial extent L. The associated inverse scale Ω = c / L is clarified as a structural constant rather than a dynamical frequency: it has no oscillatory interpretation, carries no energy, and does not represent a physical process. Its role is purely limiting—it marks the minimal global temporal orientation required for realization to persist. Within this framework, classical gravitational optics, delayed global geometric organization, and quantum outcome realization arise as direct consequences of the same realization criterion. The contribution of this work is exclusively structural: it makes explicit a condition already implicit in successful physical theories and provides a formal closure without extending or revising their dynamics. This paper concludes a broader research program on temporal realization, gravitational organization, and global coherence by isolating realization as a necessary condition for physics to describe a world at all.
This preprint is part of a three-paper series exploring physical realization as a temporally organized process constrained by relativistic causality. The present paper addresses quantum outcome realization. Standard quantum mechanics provides a complete and accurate description of state evolution but does not specify how physical outcomes are realized within an already structured world. In this work, a strict separation is made between quantum dynamics and realization. No modification of the Schrödinger equation, operators, or measurement formalism is introduced. A minimal global temporal constraint, T= L / c, is proposed as an organizational condition on realization, arising directly from finite causal connectivity. Quantum states are interpreted as spaces of possible realizations, while actual outcomes emerge through selection constrained by global phase compatibility with previously realized structure. Within this framework, the Born rule appears as the unique statistically stable distribution of realizations required for consistency across composite systems, rather than as a postulate of dynamics. The approach preserves quantum indeterminacy, introduces no hidden variables, and provides a unified account of realization across quantum and macroscopic regimes.
This paper develops the structural modeling core of a global realization approach to quantum interference. Building on prior work that established the possibility of non-propagational descriptions, the present study addresses a more precise question: how quantum interference can be explicitly modeled once local propagation, trajectories, and in-transit dynamics are excluded. The model introduces realization admissibility functionals defined over the complete experimental configuration, including source, apertures, and absorbing boundaries. These functionals are non-dynamical and non-ontic; they do not represent physical fields or evolving states, but encode global compatibility conditions that govern where detection events can coherently close. Detection probabilities emerge through statistical closure at the absorbing boundary, reproducing standard interference patterns without invoking wave superposition in space. A minimal geometric formulation is presented to demonstrate how slit configurations generate admissibility structures that yield conventional interference statistics. Within this framework, interference minima arise naturally as forbidden realizations rather than as products of destructive interaction between propagating entities. The model preserves full empirical equivalence with standard quantum mechanics while clarifying the physical status of interference as an organizational, rather than dynamical, phenomenon. This work does not modify quantum dynamics or introduce additional degrees of freedom. Its contribution is structural: it sharpens the distinction between quantum dynamical states and realization, delineates the limits of local modeling, and provides a concrete, explicit framework for modeling interference at the level where empirical outcomes occur. The paper serves as the modeling core of a broader global realization program, situated between conceptual foundations and empirical analysis.
This work addresses the long-standing claim that interference phenomena—most notably in double-slit–type experiments—cannot be physically modeled without invoking wave propagation or particles following multiple trajectories. We show that this claim rests on an implicit restriction to local, dynamical descriptions acting between emission and detection. We introduce a minimal framework in which detection events are treated as discrete realizations occurring at an absorbing boundary, while the observed interference pattern arises from global structural admissibility constraints of the full experimental configuration. The model does not attempt to generate or predict individual detection events. Instead, it characterizes the statistical distribution of outcomes as a property of realization closure rather than of local evolution in transit. Within this approach, interference patterns are understood as emergent statistical signatures of global realization structure, not as evidence of propagating waves, hidden variables, or oscillatory dynamics in space. The framework preserves all empirical features of standard interference experiments while avoiding assumptions about intermediate physical processes that are neither observed nor required by theory. This work is consistent with relativistic and quantum no-go results concerning photon trajectories, localization, and in-flight observables. It complements earlier structural interpretations of light and realization by providing a concrete, physically explicit model demonstrating how stable interference statistics arise without propagation. The contribution clarifies the precise sense in which interference is modelable, and the sense in which it is not: individual events remain intrinsically unpredictable, while their global organization is physically intelligible at the level of realization structure. The model introduces no new forces, fields, or modifications of established equations, and is intended as a refinement of conceptual foundations rather than a replacement of existing formalisms.
This work develops an ontological framework underlying contemporary physical theories, addressing a gap between formal admissibility and physical realization. Modern physics—quantum field theory, special relativity, and general relativity—successfully constrains admissible states, relations, and transitions, yet remains largely silent on how admissible structures become realized physical facts. This paper argues that the limitation is ontological rather than dynamical or epistemic. Two complementary notions are introduced. Structural indifference is the principle according to which physical structure distinguishes roles and invariants, but not the individual identity of the carriers realizing those roles. The coherence operator enforces relational compatibility among admissible roles, ensuring that realized parameter assignments are mutually consistent without fixing absolute numerical values. Together, these notions explain how observable universality can arise without global uniformity of laws or constants. Local variability of parameters becomes compatible with stable structure, while identical observational patterns emerge through coherence and translatability rather than numerical identity. Quantum mechanics is shown to be complete at the level of admissibility but ontologically incomplete with respect to realization. Gravity is interpreted as a global modulator of structural indifference, shaping large-scale regimes of realization without altering quantum formalism. The framework does not modify existing physical theories, introduce new dynamics, or rely on probabilistic selection. Instead, it articulates an ontological layer beneath current formalisms, clarifying why physical description works, how realization occurs, and why identity fixation is unnecessary.
Foundational problems in physics—including quantum measurement, spacetime emergence, gravitational dynamics, nonlocality, the arrow of time, and the status of physical existence—are typically addressed in isolation, via model-dependent extensions or interpretive assumptions. This work proposes a different approach. We introduce a constraint-based framework, the Closure Admissibility Principle (CAP), which specifies minimal structural conditions any physical description must satisfy in order to be globally consistent. CAP is formulated in operational terms, using admissibility of states, recoverability under refinement, and stability of closed records, without assuming spacetime, dynamics, or ontology a priori. We show that enforcing these constraints induces a unifying closure structure on law-space, from which several persistent foundational puzzles are resolved as structural consequences rather than postulates. In particular, collapse is reclassified as record selection, spacetime and gravity emerge only in compressible regimes, General Relativity appears as an infrared universality class rather than a fundamental law, singularities correspond to failures of admissible description, and null (“nothing”) models are excluded as inadmissible fixed points. The framework is explicitly falsifiable via operational and weak-field tests, and its scope and limits are stated precisely. The results suggest that many foundational paradoxes arise not from incomplete dynamics, but from admitting globally incoherent physical descriptions.
In standard quantum theory, physical states are subject to superposition, whereas temporal order and causal structure usually remain as a classical background. In general relativity, by contrast, time is local and dynamical, depending on the distribution of matter and the geometry of spacetime. This paper does not provide a completed dynamics that resolves this mismatch. Instead, it proposes an interpretive principle that extends the domain of superposition and single-outcome character in the Copenhagen interpretation from physical states to temporal and causal configurations. In this proposal, temporal order, local time, causal connection, and the gluing of spacetime fragments are represented as quantum candidates, and observation is understood as the simultaneous realization of one state and one recordable causal sequence. For unobserved candidate temporal configurations, neither reality nor non-reality is specified; an ontological suspension is adopted. This weakens the need to require every candidate to be globally consistent with a spacetime in advance, making it possible to impose classical gluing only on realized local causal sequences. As a result, the degrees of freedom associated with local time, local causal order, and the underlying structure of fields are increased. The paper further presents a research program that reconstructs special and general relativity, quantum theory and representational duality, quantum field theory, and quantum gravity in sequence. The temporal extension of the Copenhagen interpretation is not a specific model of quantum gravity, but it may provide an axiomatic assumption, worldview, and semantic core for interpreting the process by which a single classical world is realized from quantum causal candidates. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: Copenhagen interpretation, quantum time, causal structure, observational convergence, locality, quantum gravity, semantics