This paper presents an interpretive boundary result concerning the relationship between general relativity and quantum mechanics under a closed admissibility framework. It argues that both theories are best understood not as competing ontologies or incomplete fragments of a deeper unification, but as projection regimes—distinct bookkeeping skins licensed over a shared admissible interior. The analysis is eliminative rather than constructive. It does not propose a unifying theory, new dynamics, or a reconciliation mechanism. Instead, it demonstrates that apparent incompatibilities between GR and QM arise from scope-relative representational commitments, not from ontic conflict. When admissibility, standing conservation, and reference stability are treated as fixed constraints, the demand for further unification collapses: each theory is shown to be internally coherent and mutually non-conflicting within its licensed expressive envelope. No new primitives are introduced. No procedural or operational framework is specified. The result functions as a boundary clarification, blocking a class of illicit inferences that treat representational artifacts as ontological commitments. In doing so, it reframes long-standing unification problems as category errors induced by projection overreach rather than as open foundational gaps. This work is intended as a structural constraint on interpretation, not as a program for further development. It closes, rather than advances, a line of inquiry by showing why certain questions are inadmissible once the boundary conditions of representation are made explicit.
This paper presents an interpretive boundary result concerning the relationship between general relativity and quantum mechanics under a closed admissibility framework. It argues that both theories are best understood not as competing ontologies or incomplete fragments of a deeper unification, but as projection regimes—distinct bookkeeping skins licensed over a shared admissible interior. The analysis is eliminative rather than constructive. It does not propose a unifying theory, new dynamics, or a reconciliation mechanism. Instead, it demonstrates that apparent incompatibilities between GR and QM arise from scope-relative representational commitments, not from ontic conflict. When admissibility, standing conservation, and reference stability are treated as fixed constraints, the demand for further unification collapses: each theory is shown to be internally coherent and mutually non-conflicting within its licensed expressive envelope. No new primitives are introduced. No procedural or operational framework is specified. The result functions as a boundary clarification, blocking a class of illicit inferences that treat representational artifacts as ontological commitments. In doing so, it reframes long-standing unification problems as category errors induced by projection overreach rather than as open foundational gaps. This work is intended as a structural constraint on interpretation, not as a program for further development. It closes, rather than advances, a line of inquiry by showing why certain questions are inadmissible once the boundary conditions of representation are made explicit.
This paper characterizes quantum mechanics as a closed redescription regime governed by constraint-generated admissibility, rather than as an ontic theory of physical entities or processes. The analysis is eliminative: it shows that once standing preservation, admissibility, and redescription stability are enforced, quantum mechanical structure emerges as a bookkeeping system that exhausts all admissible local redescriptions without leaving residual degrees of freedom. Quantum states, operators, and measurement constructs are treated as representational artifacts licensed by closure, not as primitive elements of reality. The paper demonstrates that attempts to extend, reinterpret, or operationalize quantum mechanics beyond this closed redescription role introduce illicit scope transport, deferred admissibility, or duplication of enforcement, all of which violate standing conservation. No primitives, mechanisms, algorithms, or procedural sequences are introduced. The contribution is boundary-setting: it clarifies why quantum mechanics must be understood as a CG-closed redescription framework, and why treating it as incomplete, extendable, or ontically explanatory is structurally inadmissible rather than an open interpretive choice.
This paper establishes Quantum Mechanics as a constraint-licensed bookkeeping regime, not a fundamental or generative description of reality. Quantum states, operators, and probabilistic structure are shown to be representational devices licensed under a specific admissibility bundle that preserves standing at the relevant scope. The analysis is strictly eliminative and exhaustion-based: it introduces no new interpretations, formalisms, or dynamics, and it does not attempt unification or modification. Instead, it fixes the precise conditions under which quantum descriptions are valid and explains why extending quantum structure beyond those conditions constitutes illicit representational transport. By placing Quantum Mechanics within a bounded, constraint-governed role, the paper contributes to maximal closure by resolving interpretive disputes and ruling out foundational overreach in the quantum domain.
The persistent incompatibility between quantum mechanics (QM) and general relativity (GR) is commonly treated in physics as a technical or mathematical problem. Either a deeper dynamics is sought that connects both theories, or a formal meta-theory that unifies their concepts.This paper proposes a different reading. It claims neither a unification nor a correction of the existing theories. Instead, it shows that the contradiction between QM and GR is not a deficit of the theories themselves, but the consequence of an unspoken ontological omission: the lack of a determination of the transition from possibility to facticity.At the center stands the thesis that quantum mechanics and relativity mutually imply one another without being connected by a process, a path, or a shared dynamics. The transition between openness and stability is not a physical event within the world, but a shift in the conditions under which a world can occur at all.Using the terms indimergence and shift of being (Seinsverschiebung), this transition is specified as a boundary structure: indimergence designates the non-dynamical coercion toward objectivity, while shift of being denotes the irreversible change of the conditions of further world-formation. From this perspective, it becomes intelligible why the conflict between QM and GR cannot be “solved” — and why precisely therein lies its ontological significance.
The persistent challenge of unifying quantum mechanics with general relativity is often traced to a series of apparent structural tensions: complex versus real ontology, probabilistic versus deterministic dynamics, linear versus nonlinear evolution, and spectral discreteness versus geometric continuity. We argue that these tensions do not signal a fundamental incompatibility between the theories, but rather originate from surplus structure in the conventional formulation of quantum mechanics. The term unification is used in a structural sense, referring to compatibility of quantum dynamics with classical field theory rather than a modification of general relativity. Beginning from the physically indispensable requirement of matter stability, we prove that the Hamiltonian spectrum can always be shifted to become non-negative. The consequent positivity of energy enforces one-sided temporal frequency support for all physical unitary orbits. Equivalently, all scalar temporal components of physical states arise as boundary values of functions analytic in the lower half of the complex time plane, selecting the Hardy space—or, more generally, analytic tempered distributions—as the admissible solution space. In these spaces, the real and imaginary parts of the wave function are not independent; they are linked uniquely via the temporal Hilbert transform. Hence, the complex structure of quantum mechanics emerges as a representational artifact of an underlying real operator algebra. Building on our earlier work on Unified Quantum Mechanics and the Unified Real Wave Equation, we establish a rigorous proof of exact equivalence between the real-field evolution and the Schr\"odinger equation on the physical subspace. Probabilistic quantities arise naturally as quadratic invariants of analytic signals, rather than as independent postulates. We further show that quantum spectral discreteness arises from operator-theoretic confinement and boundary conditions on a smooth spacetime manifold, and does not imply any fundamental discreteness of spacetime. The resulting framework provides a real-field formulation of quantum mechanics and gravitation, with stability and causality implemented as foundational principles, and demonstrates that the Einstein field equations are compatible with a unified field-theoretic description of spacetime and matter. Extending the same analyticity principle to spacetime geometry, we propose an analytic formulation of the Einstein field equations, from which classical general relativity is recovered exactly as the real projection.
This document is part of the Informational Mechanics (IM) framework and is published in the IM-D (Core Physics) series within the IM v0.3 corpus. The paper addresses the black hole information problem by re-examining the physical meaning of information under extreme gravitational collapse. Rather than treating the problem as a conflict between information loss and information preservation, the analysis argues that both alternatives presuppose the continued admissibility of operator-defined information in regimes where the structural conditions required to define information may no longer hold. Within Informational Mechanics, information is defined only where admissible structure exists: stable distinctions, persistent identities, and reproducible correlations supported by operational comparability under disturbance. Under gravitational collapse and evaporation, these conditions fail. In such regimes, the operators required to define, track, or recover information cease to be physically implementable, rendering questions of loss or preservation physically undefined rather than false. This admissibility-based perspective reframes the black hole information paradox without introducing new dynamics, modifying quantum mechanics, or invoking observer-dependent ontologies. Formal unitarity may remain intact at the level of mathematical description, while the physical content of information-bearing correlations becomes inadmissible. The firewall paradox is treated as a direct corollary, arising from an inadmissible demand for simultaneous operator-defined access to interior, exterior, and horizon-spanning descriptions. The paper synthesizes and clarifies the distinct insights associated with Penrose, Hawking, and Susskind by showing that each applies within a different admissible regime. Black holes are treated as local admissibility boundaries, analogous to cosmological regime boundaries analyzed in Regime Condensation Cosmology (IM-D002). This work introduces no new dynamics, models, or experimental fits. Its contribution is disciplinary and structural: to clarify the regime conditions under which “information” is physically defined, and to reclassify the paradox as an inadmissible demand for simultaneous operator-defined access across incompatible regimes.
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.