This paper presents an observer-inclusive, semiclassical framework in which quantum measurement, the emergence of time, and spacetime curvature are unified through the dynamics of record formation. Measurement is modeled as a local, causal stabilization process driven by irreversible record creation within closed quantum systems, eliminating the need for external wavefunction collapse. Time is shown to emerge as a derived quantity proportional to record flux rather than as a fundamental background parameter. Regions of suppressed entropy production correspond to effective “timeless” steady states, while ordinary relativistic proper time is recovered in semiclassical regimes. The framework introduces a covariant, Planck-suppressed coupling between spacetime curvature and local record flow. Record density is defined on invariant causal diamonds using sandwiched Rényi mutual information to preserve Lorentz covariance and ultraviolet regularity. The energetic cost of record formation is compensated via Landauer’s principle, ensuring consistency with the Bianchi identities, null energy conditions, and the no-signaling theorem. The resulting theory is explicitly effective and semiclassical. It makes no claim to a fundamental quantum gravity completion, but provides a consistent, observer-inclusive description of measurement, time, and geometric response compatible with known physical constraints and open to experimental falsification.
This paper presents an observer-inclusive, semiclassical framework in which quantum measurement, the emergence of time, and spacetime curvature are unified through the dynamics of record formation. Measurement is modeled as a local, causal stabilization process driven by irreversible record creation within closed quantum systems, eliminating the need for external wavefunction collapse. Time is shown to emerge as a derived quantity proportional to record flux rather than as a fundamental background parameter. Regions of suppressed entropy production correspond to effective “timeless” steady states, while ordinary relativistic proper time is recovered in semiclassical regimes. The framework introduces a covariant, Planck-suppressed coupling between spacetime curvature and local record flow. Record density is defined on invariant causal diamonds using sandwiched Rényi mutual information to preserve Lorentz covariance and ultraviolet regularity. The energetic cost of record formation is compensated via Landauer’s principle, ensuring consistency with the Bianchi identities, null energy conditions, and the no-signaling theorem. The resulting theory is explicitly effective and semiclassical. It makes no claim to a fundamental quantum gravity completion, but provides a consistent, observer-inclusive description of measurement, time, and geometric response compatible with known physical constraints and open to experimental falsification.
The series Time as Phase Flow (Papers I–IV) established that time is not fundamental but emerges from the geometric phase flow of quantum information, providing a unified account of dynamically generated cosmological constants, informational temporal viscosity, and the suppression of large-scale structure. Despite these successes, a fundamental mechanism explaining why a single, stable observable reality emerges from the space of quantum informational states has remained unresolved. In this work, we introduce the framework of Information-Geometric Spacetime (IGS), in which spacetime itself emerges from the geometry of quantum information, entanglement, and modular flow. Within IGS, we define an Actualization Operator that mediates between quantum informational states and observable spacetime geometry. Derived from first principles, the operator combines entropy-based suppression with modular evolution, governed by a universal geometric constant β = 1/(π√3) ≈ 0.1837 fixed by the geometry of causal diamonds and the associated modular Hamiltonian. We show that actualization preserves information conservation and quantum unitarity, acting as a structural filter that selectively stabilizes informational states capable of forming consistent geometric reality, in close analogy with decoherence-driven classical emergence. Under this mechanism, previously identified cosmological effects—most notably the suppression of the matter power spectrum and the S_8 tension—are reinterpreted as observational consequences of information actualization rather than modifications of gravity or exotic matter. This framework also offers a geometric reformulation of the quantum measurement problem, in which the observer is not an external agent but an emergent process associated with modular structure and entanglement thermodynamics. The theory yields testable predictions in controlled quantum systems and forthcoming cosmological surveys, providing a concrete pathway toward empirical tests of spacetime emergence from quantum information.
Abstract The quantum measurement problem arises from the coexistence of unitary Schr¨odinger evolution with the apparent nonunitary collapse of quantum states during observation. Despite extensive theoretical development, no consensus has been reached on a microscopic physical mechanism for state reduction within standard quantum theory. In this work, we present a complete dynamical theory of quantum measurement in which wavefunction collapse emerges from irreversible information transfer and entropy production in realistic system–detector–environment interactions. Starting from microscopic Hamiltonian models, we derive a stochastic nonlinear evolution equation for conditioned quantum states without introducing additional axioms or phenomenological parameters. We demonstrate that the effective collapse rate is uniquely determined by environmental entropy production and remains well-defined in thermal, non-Markovian, chaotic, and zero-temperature regimes. Using stochastic calculus and martingale theory, we establish the dynamical emergence of the Born probability rule and prove almost-sure convergence of measurement trajectories to definite outcomes. The theory exhibits robust many-body amplification, universal behavior in nonlinear detectors, and mathematical well-posedness in both finite- and infinite-dimensional settings. Compatibility with algebraic quantum field theory, renormalization theory, and stochastic semiclassical gravity is established, ensuring consistency with relativistic and high-energy physics. Extensive numerical simulations confirm analytical predictions, and a comprehensive experimental program is proposed, together with rigorous validation and replication protocols. Logical analysis demonstrates compatibility with Bell nonlocality, resolution of Wigner’s friend and Frauchiger–Renner paradoxes, and compliance with information-theoretic constraints. These results provide a unified physical explanation of quantum measurement as an emergent nonequilibrium process governed by universal thermodynamic and informational principles, integrating state reduction into the standard dynamical framework of physics.
Description This work develops a foundational reformulation of quantum measurement by treating physical time as an emergent, dynamically produced quantity rather than as an external background parameter. Within the Discrete Expansion and Emergent Time (DEET) framework, physical duration is generated by the spacetime gradient of a scalar phase field, \Theta(x), with the local time flow defined by u_\mu = \nabla_\mu \Theta. Once time is produced rather than assumed, the weighting of mutually exclusive quantum outcomes requires a new structural interpretation. The paper introduces a time-production (allocation) density \rho(\psi), defined as a bookkeeping quantity for realized physical time rather than a probability postulate. By imposing only minimal and physically unavoidable requirements—global phase invariance, locality, separability under independent composition, and additivity under coarse-graining over exclusive alternatives—it is shown that this density is uniquely fixed (up to normalization) as \rho(\psi) \propto |\psi|^2. Measurement is modeled dynamically as a phase–gradient locking process, in which interaction with a macroscopic record sector enforces a shared realized time flow. Total time production is conserved during measurement, but redistributed across exclusive record sectors. Defining outcome weights as ratios of allocated time production yields the Born rule uniquely, without introducing stochastic collapse postulates, subjective probability, or additional interpretive assumptions. In this framework, state reduction corresponds to dynamical stabilization of a single record-compatible time flow rather than non-unitary projection, and apparent randomness arises from coarse-graining over inaccessible microscopic phase configurations. The work clarifies the structural origin of the Born rule, unifies time-dependent and timeless regimes of quantum theory, and identifies conservative falsifiability targets, including finite-time locking dynamics and correlated phase/timing residuals during measurement.
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.
We develop a covariant open-system framework in which spacetime curvature directly governs the decoherence of quantum fields on curved backgrounds. Starting from a geometric deformation of the matter wavefunctional and using standard microlocal assumptions, we derive a curvature-dependent Lindblad equation whose local decoherence rate is fixed by scalar curvature invariants through the influence of metric fluctuations. Within this setting we establish a general purity-decay theorem: the reduced state seen by any semiclassical observer undergoes monotonic purity loss, and complete mixing occurs precisely when the curvature-dependent effective rate diverges. To characterize the associated information flow, we construct a geometric entropy func- tional inspired by Perelman’s H-entropy and show that it obeys a monotonicity relation under the induced information-theoretic flow. Finally, we explain how the semiclassical appearance of information loss produced by curvature-driven decoherence is reconciled with global unitarity once nonperturbative gravitational saddles—replica wormholes and quantum extremal surfaces—are included. The resulting picture integrates curvature-induced deco- herence, geometric entropy production, and the unitary Page curve into a single coherent framework.
This note studies the emergence of time in a timeless quantum universe using a Wheeler–DeWitt-style constrained model with quantum geometry, clocks, and matter records. The model contains no external time parameter. The total state satisfies a timeless constraint while the geometry register, clock, and matter systems remain fully quantum and entangled. Despite the absence of fundamental time, conditioning on the clock and geometry recovers branch-dependent Schrödinger evolution with the correct redshifted proper-time rates. The work shows that quantum geometry can act as a reference frame for time. An observer without access to the geometry register carries a geometric information deficit, while conditioning on the geometry restores the individual geometric branches exactly. Superposed geometries generate proper-time interference, with matter records determining the transition between quantum time-history interference and classical branch evolution. The central result is an exact emergence-of-time identity: the observable coherence between different geometry branches is equal to the product of geometry coherence and matter-record overlap. When geometry information is fully recorded by matter, the interference between different time histories disappears, and each branch exhibits its own classical Schrödinger evolution. The note also derives a continuous crossover law: the emergence of classical time depends quantitatively on how strongly matter measures the quantum geometry. This connects the relational-time mechanism of Page–Wootters with the semiclassical time program of Kiefer and Zeh in an exactly solvable setting. The results are obtained in finite Wheeler–DeWitt-style toy models with declared assumptions: quantum geometry registers, simplified redshift structure, and no claim of a complete theory of dynamical quantum gravity. Verification and reproducibility materials are included.