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Super Momentum Coherence as a Diagnostic Probe of Asymmetrical Decoherence

John Dangelo

Published Apr 12, 2026• 0 citations
Publisher

Abstract

The paper proposes that causality is not a primitive feature of reality but an emergent, branch-internal phenomenology produced by asymmetric decoherence. Because environmental interactions are generically position-local, they preferentially build records in a position-like pointer basis. The buildup of irreversible, redundant records generates definite events and temporal order for embedded observers. Coherence prepared in the complementary momentum sector remains temporarily off-resonant with this rendering process, making it the cleanest probe of onset dynamics. In a decoherence-conditioned gravity framework, this predicts delayed gravitational activation for momentum-prepared sources. If the environment monitors position, then position-prepared structure classicalizes quickly and becomes hard to use as a probe of the rendering process. It already matches the basis the environment reads out.But if you prepare the system in the complementary sector — here, momentum coherence — then the environment does not immediately convert that organization into redundant branch records.So momentum-sector coherence acts like a contrast agent for the rendering dynamics.That is what you call “super-momentum”

DOI
10.5281/zenodo.19522406

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Decoherence, einselection, and the quantum origins of the classical

Wojciech Hubert Zurek

The manner in which states of some quantum systems become effectively classical is of great significance for the foundations of quantum physics, as well as for problems of practical interest such as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus decoherence is caused by the interaction in which the environment in effect monitors certain observables of the system, destroying coherence between the pointer states corresponding to their eigenvalues. This leads to environment-induced superselection or einselection, a quantum process associated with selective loss of information. Einselected pointer states are stable. They can retain correlations with the rest of the universe in spite of the environment. Einselection enforces classicality by imposing an effective ban on the vast majority of the Hilbert space, eliminating especially the flagrantly nonlocal ``Schr\"odinger-cat states.'' The classical structure of phase space emerges from the quantum Hilbert space in the appropriate macroscopic limit. Combination of einselection with dynamics leads to the idealizations of a point and of a classical trajectory. In measurements, einselection replaces quantum entanglement between the apparatus and the measured system with the classical correlation. Only the preferred pointer observable of the apparatus can store information that has predictive power. When the measured quantum system is microscopic and isolated, this restriction on the predictive utility of its correlations with the macroscopic apparatus results in the effective ``collapse of the wave packet.'' The existential interpretation implied by einselection regards observers as open quantum systems, distinguished only by their ability to acquire, store, and process information. Spreading of the correlations with the effectively classical pointer states throughout the environment allows one to understand ``classical reality'' as a property based on the relatively objective existence of the einselected states. Effectively classical pointer states can be ``found out'' without being re-prepared, e.g, by intercepting the information already present in the environment. The redundancy of the records of pointer states in the environment (which can be thought of as their ``fitness'' in the Darwinian sense) is a measure of their classicality. A new symmetry appears in this setting. Environment-assisted invariance or envariance sheds new light on the nature of ignorance of the state of the system due to quantum correlations with the environment and leads to Born's rules and to reduced density matrices, ultimately justifying basic principles of the program of decoherence and einselection.

arXiv:quant-ph/0105127•Reviews of Modern Physics•May 22, 2003•4,294 citations

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quant-pharXiv:2607.13096•Jul 15, 2026•0 citations

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The study of environmentally induced superselection and of the process of decoherence was originally motivated by the search for the emergence of classical behavior out of the quantum substrate, in the macroscopic limit [W. H. Zurek, Phys. Rev. D 24, 1516 (1981); 26, 1862 (1982)]. This limit, and other simplifying assumptions, have allowed the derivation of several simple results characterizing the onset of environmentally induced superselection; but these results are increasingly often regarded as a complete phenomenological characterization of decoherence in any regime. This is not necessarily the case: the examples presented in this paper counteract this impression by violating several of the simple general rules. This is relevant because decoherence is now beginning to be tested experimentally [C. Monroe et al., Science 272, 1131 (1996); M. Brune et al., Phys. Rev. Lett. 77, 4887 (1996)], and one may anticipate that, in at least some of the proposed applications (e.g., quantum computers), only the basic principle of ``monitoring by the environment'' will survive. The phenomenology of decoherence may turn out to be significantly different.

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Repulsive Gravitational Force, Quantum Readout, and the Quantum Nature of Gravity: An OT–GKSL Perspective on the Oxford and Natalia Ares Experiments

Gwenolé Bocquet

Pedagogical Guide, Foundations Audit, Uniqueness & Substitutability Analysis, Literature Comparison, and Reading Guidance : A Pedagogical Guide to Understanding the OT–GKSL Architecture This paper develops a comparative interpretation of two recent Oxford research directions through the certified source–readout architecture of the Einstein-locked OT–GKSL framework: the experimental extraction of classical ticks from a quantum clock studied by Wadhia, Meier, Ares and collaborators, and the post-selected repulsive gravitational signal proposed by Saldanha, Marletto and Vedral. The comparison is structural rather than mechanistic. OT–GKSL starts from open quantum-state dynamics rather than from a primitive spacetime geometry. Its native objects are density states, the complete GKSL generator, and, in the detailed-balance dissipative sector, a positive quantum optimal-transport geometry. Classical events, clocks, Lorentzian geometry and gravitational observables are reconstructed only through stable physical records, event individuation, calibration and certification. The relevant hierarchy is ρ → ω(ρ) = M(ρ) → [ρ]evt → Xᵃ → s → eᵃ → g_ro, with the native OT geometry and the Lorentzian readout metric kept strictly distinct. The native process carries a directed semigroup ordering, but not a primitive Lorentzian causal structure. For temporal readout, the framework distinguishes native entropic ordering, a clock-like record, and calibrated classical time: t_ent ≠ X⁰ ≠ t_ro. This separation provides a natural operational language for the quantum-clock experiments, where microscopic clockwork dissipation and the energetic/informational burden of extracting a classical record are experimentally distinguishable. 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In particular, for complementary post-selection outcomes f and f̄, P_f ⟨p⟩_f + P_f̄ ⟨p⟩_f̄ = α² δ_A + β² δ_B, for a probe initially centered at zero momentum in the ideal branch-kick model. Thus a negative conditional momentum shift is not by itself equivalent to a negative gravitational coupling, a repulsive force on every branch, or a complete negative momentum balance for the total source–probe–apparatus system. Within OT–GKSL, the post-selection instrument is treated as an imported quantum-measurement structure rather than as an independently derived prediction of the framework. Measurement is represented as a directed certified readout between physical subsystems, A ← B, where the record-bearing subsystem must satisfy stability, accessibility, rank and bridge conditions. Classicalization is required only for the declared record degrees of freedom and does not imply complete dephasing of all quantum degrees of freedom. 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Entropic Tick Cost & Spectral Budget | Page–Wootters time ; thermal time hypothesis ; quantum clocks ; Salecker–Wigner bounds // Establishes a theorem-strength certified boundary for classical spacetime by proving a fundamental trade-off between entropic tick resolution, coframe stability, and finite informational budget. Toy Certified Pipeline from Optimal Transport QCD | Provides a protocol-level implementation and scaling model for certified bridge margins. Certified Spectral Boundary from Heat-Kernel Budgets and Entropic Transport in the Einstein-Locked OT/GKSL Framework | Heat-kernel spectral budgets; entropic OT/GKSL transport; certified spectral boundary; Einstein-locked readout. Develops a spectral-geometric control layer for the OT/GKSL framework, where the native heat trace bounds finite spectral resources, the cutoff gap defines a certification margin, and entropic transport controls the drift of readout-support budgets without inducing a state-dependent Einstein–Hilbert kinetic term. Correlation Separation in the Einstein-Locked OT/GKSL Framework | Establishes a theorem-level distinction between native, readout, and causal-local correlations, and reframes t

•Aug 11, 2026•0 citations

The Measurement Ledger: Collapse, Decoherence, and Everettian Record Closure in pq-Spacetime

Adam Alexander Dick

This is Paper 157 in the Anaxiomatic Mechanics / pq-Spacetime stack. It develops a finite structural account of quantum measurement based on boundary-supported record formation, decoherence, and global admissible-history closure. In pq-spacetime, measurement is not a fundamental collapse process. A system, apparatus, environment, and observer become incorporated into an enlarged β-boundary whose dynamics stabilize distinguishable record channels. Environmental coupling suppresses accessible interference between incompatible records, while each observer continuation inherits a definite local outcome through its embedding in one stable β-record ledger. The paper distinguishes this branch-local definiteness from the global structure of the theory. The finite amplitude law and No-Fence Principle do not permit admissible history sectors to be deleted by an additional measurement rule. The global metaobject therefore remains closed over the complete admissible-history structure even though individual observers occupy definite record continuations. Collapse is consequently recovered only as an effective conditional update of local access rather than as an ontological destruction of alternatives. The analysis connects measurement directly to the earlier pq-spacetime treatments of entanglement, decoherence, and black-hole information. In each case, reduced access to part of the admissible-history structure can produce locally mixed or effectively classical descriptions without implying destruction of the globally closed state. Born weights are inherited from the prior no-fence scalarization result rather than introduced as an independent measurement postulate. The Measurement Ledger Theorem summarizes the result: quantum measurement is the formation of stable branch-local β-record ledgers through boundary enlargement; consciousness is not a measurement mechanism; primitive collapse and hidden selectors are unnecessary; pointer states correspond to dynamically stable record channels; and the globally admissible history structure remains closed throughout the measurement process. The resulting picture identifies classicality with persistent, redundant record stability rather than with a separate classical ontology. Definite experimental outcomes and globally closed quantum evolution are therefore treated as complementary aspects of the same finite pq-spacetime dynamics.

•Aug 11, 2026•0 citations
The paper proposes that causality is not a primitive feature of reality but an emergent, branch-internal phenomenology produced by asymmetric decoherence. Because environmental interactions are generically position-local, they preferentially build records in a position-like pointer basis. The buildup of irreversible, redundant records generates definite events and temporal order for embedded observers. Coherence prepared in the complementary momentum sector remains temporarily off-resonant with this rendering process, making it the cleanest probe of onset dynamics. In a decoherence-conditioned gravity framework, this predicts delayed gravitational activation for momentum-prepared sources. If the environment monitors position, then position-prepared structure classicalizes quickly and becomes hard to use as a probe of the rendering process. It already matches the basis the environment reads out.But if you prepare the system in the complementary sector — here, momentum coherence — then the environment does not immediately convert that organization into redundant branch records.So momentum-sector coherence acts like a contrast agent for the rendering dynamics.That is what you call “super-momentum”
The manner in which states of some quantum systems become effectively classical is of great significance for the foundations of quantum physics, as well as for problems of practical interest such as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus decoherence is caused by the interaction in which the environment in effect monitors certain observables of the system, destroying coherence between the pointer states corresponding to their eigenvalues. This leads to environment-induced superselection or einselection, a quantum process associated with selective loss of information. Einselected pointer states are stable. They can retain correlations with the rest of the universe in spite of the environment. Einselection enforces classicality by imposing an effective ban on the vast majority of the Hilbert space, eliminating especially the flagrantly nonlocal ``Schr\"odinger-cat states.'' The classical structure of phase space emerges from the quantum Hilbert space in the appropriate macroscopic limit. Combination of einselection with dynamics leads to the idealizations of a point and of a classical trajectory. In measurements, einselection replaces quantum entanglement between the apparatus and the measured system with the classical correlation. Only the preferred pointer observable of the apparatus can store information that has predictive power. When the measured quantum system is microscopic and isolated, this restriction on the predictive utility of its correlations with the macroscopic apparatus results in the effective ``collapse of the wave packet.'' The existential interpretation implied by einselection regards observers as open quantum systems, distinguished only by their ability to acquire, store, and process information. Spreading of the correlations with the effectively classical pointer states throughout the environment allows one to understand ``classical reality'' as a property based on the relatively objective existence of the einselected states. Effectively classical pointer states can be ``found out'' without being re-prepared, e.g, by intercepting the information already present in the environment. The redundancy of the records of pointer states in the environment (which can be thought of as their ``fitness'' in the Darwinian sense) is a measure of their classicality. A new symmetry appears in this setting. Environment-assisted invariance or envariance sheds new light on the nature of ignorance of the state of the system due to quantum correlations with the environment and leads to Born's rules and to reduced density matrices, ultimately justifying basic principles of the program of decoherence and einselection.
General relativity (GR) is naturally organized around spacetime events and their causal order, whereas quantum field theory (QFT) is formulated in terms of states, operators, and unitary evolution, without an intrinsic criterion for when a quantum process becomes a definite spacetime fact. We propose an event-centered framework in which events are locally irreversible records generated by quantum-environment interactions and serve as an interface between quantum dynamics and relativistic spacetime structure. Event anchoring is characterized operationally by three jointly sufficient conditions: local classicalization, redundant environmental recording, and irreversibility against recovery. Their joint satisfaction defines local generative freezing. We realize these criteria in an explicit repeated-collision open-system model. The model is illustrative rather than a derivation from relativistic QFT, but it remains globally unitary and yields the freezing time in closed form. For all admissible tolerances, local classicalization is certified no later than channel-level irrecoverability, and generically earlier. Full anchoring occurs only when both irrecoverability and the required record redundancy have been reached, producing irrecoverability-limited and redundancy-limited regimes. At the level of anchored records, physical history is therefore represented as a partially ordered causal skeleton of frozen events on which effective field-theoretic descriptions operate. The framework addresses event anchoring--when a candidate outcome becomes a stable spacetime fact--while remaining compatible with standard QFT and relativistic causality. It does not derive the Born rule or solve single-outcome selection, which belong to the separate problem of event generation.
Le problème ontologique en physique quantique et l’émergence d’un espace-temps relationnel à la lumière de la théorie de la décohérence L’objectif de cette thèse est de mieux comprendre les caractéristiques de la matière quantique qui rendent la gravitation quantique si difficile à atteindre. Dans le Chapitre 3, nous présentons deux modèles généraux de décohérence, sans spécifier aucun Hamiltonien. Le premier modèle fait apparaître naturellement la décohérence comme un phénomène géométrique entre deux réservoirs de dimensions. Le second modèle tente d’expliquer pourquoi, dans un univers où la décohérence est omniprésente, la matière n’est pas figée par l’effet Zénon quantique. Le Chapitre 4 est consacré au problème ontologique de la physique quantique, communément appelé « problème de la mesure ». Notre objectif n’est pas d’en fournir une solution, mais plutôt de formuler le problème indépendamment de toute interprétation de la mécanique quantique, à la lumière de la théorie de la décohérence. Dans le Chapitre 5, un nouvel ingrédient est introduit dans la discussion : l’espace-temps. Après avoir éclairci l’incompatibilité apparente entre la mécanique quantique et la relativité restreinte, nous présentons un programme de recherche et un modèle jouet en vue de définir une notion backgroundless de position au sein du formalisme quantique.
The study of environmentally induced superselection and of the process of decoherence was originally motivated by the search for the emergence of classical behavior out of the quantum substrate, in the macroscopic limit [W. H. Zurek, Phys. Rev. D 24, 1516 (1981); 26, 1862 (1982)]. This limit, and other simplifying assumptions, have allowed the derivation of several simple results characterizing the onset of environmentally induced superselection; but these results are increasingly often regarded as a complete phenomenological characterization of decoherence in any regime. This is not necessarily the case: the examples presented in this paper counteract this impression by violating several of the simple general rules. This is relevant because decoherence is now beginning to be tested experimentally [C. Monroe et al., Science 272, 1131 (1996); M. Brune et al., Phys. Rev. Lett. 77, 4887 (1996)], and one may anticipate that, in at least some of the proposed applications (e.g., quantum computers), only the basic principle of ``monitoring by the environment'' will survive. The phenomenology of decoherence may turn out to be significantly different.
Pedagogical Guide, Foundations Audit, Uniqueness & Substitutability Analysis, Literature Comparison, and Reading Guidance : A Pedagogical Guide to Understanding the OT–GKSL Architecture This paper develops a comparative interpretation of two recent Oxford research directions through the certified source–readout architecture of the Einstein-locked OT–GKSL framework: the experimental extraction of classical ticks from a quantum clock studied by Wadhia, Meier, Ares and collaborators, and the post-selected repulsive gravitational signal proposed by Saldanha, Marletto and Vedral. The comparison is structural rather than mechanistic. OT–GKSL starts from open quantum-state dynamics rather than from a primitive spacetime geometry. Its native objects are density states, the complete GKSL generator, and, in the detailed-balance dissipative sector, a positive quantum optimal-transport geometry. Classical events, clocks, Lorentzian geometry and gravitational observables are reconstructed only through stable physical records, event individuation, calibration and certification. The relevant hierarchy is ρ → ω(ρ) = M(ρ) → [ρ]evt → Xᵃ → s → eᵃ → g_ro, with the native OT geometry and the Lorentzian readout metric kept strictly distinct. The native process carries a directed semigroup ordering, but not a primitive Lorentzian causal structure. For temporal readout, the framework distinguishes native entropic ordering, a clock-like record, and calibrated classical time: t_ent ≠ X⁰ ≠ t_ro. This separation provides a natural operational language for the quantum-clock experiments, where microscopic clockwork dissipation and the energetic/informational burden of extracting a classical record are experimentally distinguishable. The associated OT–GKSL reporting ledger is C_tick = C_nat + C_ext + C_cert, where C_nat denotes the native clockwork contribution, C_ext the extraction and amplification burden, and C_cert the additional cost of maintaining a stable, calibrated and auditable record. This is a reporting ledger, not a universal microscopic thermodynamic identity. The corpus explicitly identifies the experimentally realized distinction clockwork cost ≠ classical-record extraction cost. For the gravitational proposal, each branch of the Saldanha–Marletto–Vedral protocol remains individually attractive, δ_A > 0, δ_B > 0, while post-selection and coherent amplitude interference can produce an effective conditional shift δ_eff = (β δ_B − α δ_A)/(β − α), which may be negative. The paper emphasizes the distinction between the unconditional joint dynamics and the conditioned measurement record. In particular, for complementary post-selection outcomes f and f̄, P_f ⟨p⟩_f + P_f̄ ⟨p⟩_f̄ = α² δ_A + β² δ_B, for a probe initially centered at zero momentum in the ideal branch-kick model. Thus a negative conditional momentum shift is not by itself equivalent to a negative gravitational coupling, a repulsive force on every branch, or a complete negative momentum balance for the total source–probe–apparatus system. Within OT–GKSL, the post-selection instrument is treated as an imported quantum-measurement structure rather than as an independently derived prediction of the framework. Measurement is represented as a directed certified readout between physical subsystems, A ← B, where the record-bearing subsystem must satisfy stability, accessibility, rank and bridge conditions. Classicalization is required only for the declared record degrees of freedom and does not imply complete dephasing of all quantum degrees of freedom. The resulting mirror is therefore: Ares/Wadhia:native clockwork → detector interaction → classical record → calibrated temporal estimate, Saldanha–Marletto–Vedral:coherent source–probe dynamics → measurement/post-selection → conditional record → gravitationally interpreted probe observable. The common lesson is not that the two systems share a physical mechanism, nor that either experiment confirms OT–GKSL. Rather, both highlight the importance of distinguishing native quantum dynamics from the physical process by which a classical statement becomes accessible. OT–GKSL extends this distinction to spacetime itself: classical Lorentzian geometry is treated as a post-constructed, certified readout rather than as the primitive background of the native dynamics. The paper explicitly identifies the remaining open bridge problem for the gravitational protocol: embedding the SMV preparation into a native OT–GKSL source state, deriving the corresponding gravitational branch interaction from the certified source/readout construction, and embedding the post-selection and probe records into the framework. A complete source–probe–apparatus energy–momentum closure is outside the scope of the present comparative study. 1. Foundations of the Architecture: Foundations |GKSL/Lindblad ; Carlen–Maas ; Jacobson ; Sakharov ; Donoghue ; Lovelock) Establishes the core Einstein-locked OT/GKSL architecture for certified geometric readout and coherence-dependent gravitational sourcing. Optimal-Transport Gravity Trilemma | Identifies the certified operational boundary of geometric readout by proving the fundamental trade-off between temporal resolution, coframe stability, and bridge fidelity. 2. Emergence and Recovery of Classical Physics: Exact Reduced OT/GKSL Equations | Mori–Zwanzig/projection operators ; effective field theory ; Carlen–Maas ; Wilsonian reduction / Demonstrates the controlled recovery of classical Newtonian and gravitational sectors as exact non-linear reductions of the native OT/GKSL state dynamics. Certified Einstein Non-Linear Readout | Lovelock ; Bianchi identities ; Donoghue EFT ; Jacobson thermodynamic gravity// Develops the full non-linear Einstein-locked readout closure for the metric sector. Non-Linear Dynamics and Readout | Dynamical systems, center manifold/effective reduction ; quantum Markov semigroups ; non-linear open-system reductions // Explores the exact reduced non-linear evolution on collective state manifolds. The Seeley–DeWitt Bridge | Seeley–DeWitt heat-kernel ; Vassilevich // Formalizes the operational connection between native state dynamics and the effective classical readout. The SDW Bridge: Composite Brout–Englert–Higgs Dynamics, Spectral Separation, and the Emergent Graviton | Formalizes the emergence of the Brout-Englert-Higgs composite scalar and the spin-2 graviton via the Seeley-DeWitt expansion, strictly preserving the Einstein-Lock. Bridge between QCD and OT/GKSL Readout | Wilson lattice gauge theory ; Gross–Wilczek–Politzer asymptotic freedom ; Kogut–Susskind Hamiltonian lattice gauge theory // Connects the Optimal Transport / GKSL framework to Quantum Chromodynamics, exploring the constitutive bridge and effective low-energy dynamics. 3. The Certified Boundary and Structural Limits: Certified Spacetime Readout on Finite Support: A Unified Temporal and Geometric Boundary | Decoherence / Quantum Darwinism ; quantum reference frames ; finite information bounds ; Jacobson // Unifies the temporal and geometric branches of classical readout into a single certified spacetime problem. Introduces the unified spacetime readout burden and derives the central unified certified-budget inequality, proving that temporal precision, geometric coframe nondegeneracy, and bridge compatibility draw from the same finite entropic and informational resources and cannot be made simultaneously ideal. Certified Causality, Locality, Nonlocality, and Relativity in the Einstein-Locked OT/GKSL Framework | Algebraic QFT/locality ; operational quantum theory ; quantum reference frames ; relativistic causality tests // Determines the exact status of causality, locality, nonlocality, and the principle of relativity within the Einstein-locked OT/GKSL architecture. Shows that causal-local spacetime semantics is a certified readout property rather than a primitive native axiom; proves a patchwise gluing theorem for certified local causal structure; and derives a unified finite-budget inequality showing that temporal precision, geometric certification, bridge admissibility, and overlap compatibility all compete for a single residual causal-local headroom on finite effective support. Entropic Tick Cost and Certified Temporal Readout in the Einstein-Locked OT/GKSL Framework | Demonstrates that classical ticks are finite-resource readout objects extracted from native entropic ordering, rather than primitive background parameters. Decomposes the entropic tick cost into native, extraction, and certification branches, and derives a theorem-level certified temporal budget inequality connecting temporal resolution, finite effective support, and certification margins. Entropic Tick Cost & Spectral Budget | Page–Wootters time ; thermal time hypothesis ; quantum clocks ; Salecker–Wigner bounds // Establishes a theorem-strength certified boundary for classical spacetime by proving a fundamental trade-off between entropic tick resolution, coframe stability, and finite informational budget. Toy Certified Pipeline from Optimal Transport QCD | Provides a protocol-level implementation and scaling model for certified bridge margins. Certified Spectral Boundary from Heat-Kernel Budgets and Entropic Transport in the Einstein-Locked OT/GKSL Framework | Heat-kernel spectral budgets; entropic OT/GKSL transport; certified spectral boundary; Einstein-locked readout. Develops a spectral-geometric control layer for the OT/GKSL framework, where the native heat trace bounds finite spectral resources, the cutoff gap defines a certification margin, and entropic transport controls the drift of readout-support budgets without inducing a state-dependent Einstein–Hilbert kinetic term. Correlation Separation in the Einstein-Locked OT/GKSL Framework | Establishes a theorem-level distinction between native, readout, and causal-local correlations, and reframes t
This is Paper 157 in the Anaxiomatic Mechanics / pq-Spacetime stack. It develops a finite structural account of quantum measurement based on boundary-supported record formation, decoherence, and global admissible-history closure. In pq-spacetime, measurement is not a fundamental collapse process. A system, apparatus, environment, and observer become incorporated into an enlarged β-boundary whose dynamics stabilize distinguishable record channels. Environmental coupling suppresses accessible interference between incompatible records, while each observer continuation inherits a definite local outcome through its embedding in one stable β-record ledger. The paper distinguishes this branch-local definiteness from the global structure of the theory. The finite amplitude law and No-Fence Principle do not permit admissible history sectors to be deleted by an additional measurement rule. The global metaobject therefore remains closed over the complete admissible-history structure even though individual observers occupy definite record continuations. Collapse is consequently recovered only as an effective conditional update of local access rather than as an ontological destruction of alternatives. The analysis connects measurement directly to the earlier pq-spacetime treatments of entanglement, decoherence, and black-hole information. In each case, reduced access to part of the admissible-history structure can produce locally mixed or effectively classical descriptions without implying destruction of the globally closed state. Born weights are inherited from the prior no-fence scalarization result rather than introduced as an independent measurement postulate. The Measurement Ledger Theorem summarizes the result: quantum measurement is the formation of stable branch-local β-record ledgers through boundary enlargement; consciousness is not a measurement mechanism; primitive collapse and hidden selectors are unnecessary; pointer states correspond to dynamically stable record channels; and the globally admissible history structure remains closed throughout the measurement process. The resulting picture identifies classicality with persistent, redundant record stability rather than with a separate classical ontology. Definite experimental outcomes and globally closed quantum evolution are therefore treated as complementary aspects of the same finite pq-spacetime dynamics.