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Scalar Clocks, Awareness Tensors, and Gravity as Time Decoherence: Three Testable Predictions for Record-Sensitive Geometry

EUGENE CATRAMBONE

Published Dec 30, 2025• 0 citations
Publisher

Abstract

This manuscript develops three concrete, falsifiable predictions based on a framework in which time and space are operationally equivalent, and classical reality is understood as the record. In this scalar-clock / awareness-tensor / Trinity picture, an observation is any physical process that stabilizes correlations into durable, revisitable records, and gravity is interpreted as time decoherence: clock-locking and time selection into dominant mass time-zones. The paper introduces three phenomenological parameters that are exactly zero in standard GR+QM: (i) ϵ\epsilonϵ, the sensitivity of co-located clock rates to engineered decoherence and monitoring strength; (ii) η\etaη, the sensitivity of effective gravitational acceleration to record-export structure at fixed mass distribution; and (iii) a scalar time-mismatch scale ΔT∗\Delta T_\astΔT∗, beyond which interference visibility near a mass exhibits a protocol-dependent threshold. These parameters are tied to operational proxies: clock-locking depth, time mismatch, and coupling gradients. From this framework, three testable predictions follow: Entanglement-dependent time dilation: Two identical, co-located precision clocks in the same gravitational potential but in different record-coupling regimes (high vs. low monitoring and decoherence) should exhibit a small, persistent differential drift that tracks clock-locking depth, not altitude or velocity. Gravity modulation by engineered decoherence: In a torsion balance, atom interferometer, or precision gravimeter, the measured acceleration toward a test mass should differ slightly between “decoherence OFF” and “decoherence ON” conditions, even when the mass distribution and EM fields are unchanged. The key signature is a protocol-locked Δg\Delta gΔg that appears only when scattered quanta are recorded, not when the same fields are present but their outputs are dumped locally. Entanglement horizon near mass: In a matter-wave interferometer, as one arm approaches a mass (or as the mass is increased), interference visibility should drop at a characteristic threshold set by scalar-clock mismatch and record structure. This defines an “entanglement horizon” in time-mismatch space, distinct from smooth environmental decoherence. For each effect, the paper defines explicit null hypotheses, identifies leading systematics, and sketches minimal experimental protocols compatible with current or near-term optical clocks, gravimetry, and matter-wave interferometry platforms. A brief CPT-compatibility analysis clarifies that microscopic dynamics remain CPT-symmetric in the usual QFT sense; any asymmetries arise only at the coarse-grained level of record formation and clock-locking. The proposals can therefore be read either as parameterized extensions of GR+QM using measurement architecture as an additional knob, or as an operational test of a broader “gravity as time decoherence” interpretation in which geometry becomes explicitly record-sensitive. This Version 2 is a revised and expanded update of the original upload, adding a phenomenology-first summary, clarifying the roles of the parameters (ϵ,η,ΔT∗)(\epsilon,\eta,\Delta T_\ast)(ϵ,η,ΔT∗), and situating the framework more explicitly relative to existing work on gravity-related decoherence, hybrid classical–quantum gravity, and clock/interferometry proposals (Diósi–Penrose, Bassi, Anastopoulos–Hu, Oppenheim, Zych–Costa–Pikovski–Brukner, Bose et al.). The updated version explicitly restricts the criterion to record-sensitive effects, rather than any effect. It explicitly spells out what “record formation on/off” means in practice: detectors and logging are turned on/off while the physical fields are held fixed, i.e., outputs are either stored or not stored. This version tightens falsifiability and lab usability. It (i) commits to explicit benchmark model families for the three predictions, each reducing to standard physics when ϵ=η=κ=0\epsilon=\eta=\kappa=0ϵ=η=κ=0; (ii) defines an unambiguous export-axis variable via the exported mutual-information rate I˙XR\dot I_{XR}I˙XR and export depth E\mathcal{E}E, enabling cross-platform comparisons; (iii) adds a fully worked, platform-specific optical lattice clock pilot (C1 vs C2 export-only toggle) including invariance audits, confound/error budgeting, preregistered power/discriminability analysis, and an end-to-end analysis pipeline; and (iv) upgrades mandatory reporting/preregistration templates so null results produce publishable bounds on (ϵ,η,κ)(\epsilon,\eta,\kappa)(ϵ,η,κ).

DOI
10.5281/zenodo.18102227

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Gravity as Time Decoherence The Scalar Clock, Awareness Tensor, and Trinity Throttling

EUGENE CATRAMBONE

This paper proposes a new operational paradigm for gravity grounded in measurement, record formation, and reference stability. Observation is defined as recording: the stabilization of correlations into revisitable reference states, independent of human perception. On this basis, the paper introduces (i) the awareness tensor, the record-bearing correlation architecture of an observer-system, and (ii) the scalar clock, a local tick-field that can exist in selector-state regimes and becomes classical through clock-locking. The paper advances the Trinity principle, in which time, space, and energy are treated as complementary faces of a unified coherent state. Classical regimes arise through Trinity throttling, where one face is stabilized as the dominant reference channel while the others remain comparatively latent, producing a continuum of mixed observational modes. The keystone identification is that gravity is time decoherence: gravitational behavior is the macroscopic signature of time-selection as systems enter and couple into dominant mass time-zones under coupling gradients. An interpretive extension maps electromagnetic, weak, and strong interactions as channel-specific mismatch-relaxation processes within the same selection architecture (presented as programmatic rather than a full Standard Model derivation). The paper concludes with candidate distinguishing signatures and test avenues framed in the framework’s primitives: time mismatch, coupling gradients, clock-locking depth, and throttling regime. Related Zenodo works by the author: Consciousness and the Scalar Clock: A Unified Spacetime Framework (10.5281/zenodo.15703136) Scalar-Clock Quantization Near Mass: Predicting Entanglement Horizons in Precision Gravitational Tests (10.5281/zenodo.18002592) From Quarks to Cosmos: A Trinity-Centered Reformulation of Physical Reality (10.5281/zenodo.17970264)

•Dec 27, 2025•0 citations

Time–Decoherence Gravity (TDG): A Unified Framework

Duchesne, Jonathan

Contact: Jonathan.duchesne@hotmail.com FinalTDG: Full Mathematical proposition. AddTDG22: Natural Add-ons TDGStressTest: Stress Test results TDGEX: Experimental Protocol TDGpaper: Abstract Temporal Decoherence Geometry (TDG) is a conservative theoretical framework that systematically explores a possible connection between quantum decoherence, weak-field gravity, and an emergent notion of time, while remaining strictly within a GKSL (Lindblad) open quantum dynamics, i.e. Markovian and completely positive, with no ad hoc collapse mechanism. The central idea of TDG is to take seriously the structure of decoherence of an open quantum system and promote it to an effective geometric object: a decoherence tensor Gamma_{mu nu}, constructed from a Lindblad generator, is introduced as the primary source of a weak-field gravitational potential and an emergent time defined from local decoherence rates. The framework is deliberately minimalist in its assumptions: weak-field regime, standard quantum mechanics (no modification of the Schrödinger equation or the GKSL structure), no exotic measurement postulates. This new “DOI version” collects and organises the following elements: A mathematical core in which Gamma_{mu nu} is derived from a GKSL generator (Lindbladian), a gradient-flow–type evolution drives Gamma_{mu nu} towards a quantity proportional to the usual energy-momentum tensor T_{mu nu}, an emergent time scalar T(x) is defined from the local decoherence rate lambda(x), under explicit integrability conditions, an effective weak-field gravitational potential Phi_TDG is associated with this decoherence structure. The analysis of static, spherically symmetric compact configurations, obtained from a simple “decoherence-energy” functional E[gamma], which: have a regular, non-singular core, exhibit a Yukawa-type tail, reproduce a Newtonian / Schwarzschild-like exterior over a given radial interval, while avoiding central singularities. A phenomenological layer in which TDG induces decoherence-dependent corrections to gravitational redshift, encoded in an effective parameter epsilon_TDG. This parameter is, in principle, falsifiable with state-of-the-art optical clocks, providing a clear experimental handle: TDG is not only a formal construction, but a framework that can be constrained or ruled out by precision redshift measurements. A key feature of this revised version is the inclusion of a set of analytical stress tests explicitly designed to challenge the model within the regime it claims to describe (weak-field, GKSL, Markovian): regular-core compact configurations, extreme parameter limits (diffusion, screening length scales, etc.), dynamical behaviour of the decoherence tensor, analysis of the absence of finite-time collapse in the GKSL setting. These stress tests show that, under the stated assumptions and within the weak-field regime, the TDG framework remains regular, well-posed, and consistent with its own domain of validity. The Zenodo deposit therefore gathers both a main TDG manuscript (model structure + weak-field applications) and a technical stress-test note, enabling readers to assess not only the construction itself, but also its internal robustness and phenomenological viability. This deposit is intended to serve as a stable reference for the current version of TDG: it provides the complete description of the framework together with the technical ingredients needed to evaluate its mathematical consistency, its compatibility with weak-field gravity, and its falsifiability through decoherence-sensitive redshift tests with optical clocks.

•Dec 8, 2025•0 citations

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•Jan 18, 2026•0 citations
This manuscript develops three concrete, falsifiable predictions based on a framework in which time and space are operationally equivalent, and classical reality is understood as the record. In this scalar-clock / awareness-tensor / Trinity picture, an observation is any physical process that stabilizes correlations into durable, revisitable records, and gravity is interpreted as time decoherence: clock-locking and time selection into dominant mass time-zones. The paper introduces three phenomenological parameters that are exactly zero in standard GR+QM: (i) ϵ\epsilonϵ, the sensitivity of co-located clock rates to engineered decoherence and monitoring strength; (ii) η\etaη, the sensitivity of effective gravitational acceleration to record-export structure at fixed mass distribution; and (iii) a scalar time-mismatch scale ΔT∗\Delta T_\astΔT∗, beyond which interference visibility near a mass exhibits a protocol-dependent threshold. These parameters are tied to operational proxies: clock-locking depth, time mismatch, and coupling gradients. From this framework, three testable predictions follow: Entanglement-dependent time dilation: Two identical, co-located precision clocks in the same gravitational potential but in different record-coupling regimes (high vs. low monitoring and decoherence) should exhibit a small, persistent differential drift that tracks clock-locking depth, not altitude or velocity. Gravity modulation by engineered decoherence: In a torsion balance, atom interferometer, or precision gravimeter, the measured acceleration toward a test mass should differ slightly between “decoherence OFF” and “decoherence ON” conditions, even when the mass distribution and EM fields are unchanged. The key signature is a protocol-locked Δg\Delta gΔg that appears only when scattered quanta are recorded, not when the same fields are present but their outputs are dumped locally. Entanglement horizon near mass: In a matter-wave interferometer, as one arm approaches a mass (or as the mass is increased), interference visibility should drop at a characteristic threshold set by scalar-clock mismatch and record structure. This defines an “entanglement horizon” in time-mismatch space, distinct from smooth environmental decoherence. For each effect, the paper defines explicit null hypotheses, identifies leading systematics, and sketches minimal experimental protocols compatible with current or near-term optical clocks, gravimetry, and matter-wave interferometry platforms. A brief CPT-compatibility analysis clarifies that microscopic dynamics remain CPT-symmetric in the usual QFT sense; any asymmetries arise only at the coarse-grained level of record formation and clock-locking. The proposals can therefore be read either as parameterized extensions of GR+QM using measurement architecture as an additional knob, or as an operational test of a broader “gravity as time decoherence” interpretation in which geometry becomes explicitly record-sensitive. This Version 2 is a revised and expanded update of the original upload, adding a phenomenology-first summary, clarifying the roles of the parameters (ϵ,η,ΔT∗)(\epsilon,\eta,\Delta T_\ast)(ϵ,η,ΔT∗), and situating the framework more explicitly relative to existing work on gravity-related decoherence, hybrid classical–quantum gravity, and clock/interferometry proposals (Diósi–Penrose, Bassi, Anastopoulos–Hu, Oppenheim, Zych–Costa–Pikovski–Brukner, Bose et al.). The updated version explicitly restricts the criterion to record-sensitive effects, rather than any effect. It explicitly spells out what “record formation on/off” means in practice: detectors and logging are turned on/off while the physical fields are held fixed, i.e., outputs are either stored or not stored. This version tightens falsifiability and lab usability. It (i) commits to explicit benchmark model families for the three predictions, each reducing to standard physics when ϵ=η=κ=0\epsilon=\eta=\kappa=0ϵ=η=κ=0; (ii) defines an unambiguous export-axis variable via the exported mutual-information rate I˙XR\dot I_{XR}I˙XR and export depth E\mathcal{E}E, enabling cross-platform comparisons; (iii) adds a fully worked, platform-specific optical lattice clock pilot (C1 vs C2 export-only toggle) including invariance audits, confound/error budgeting, preregistered power/discriminability analysis, and an end-to-end analysis pipeline; and (iv) upgrades mandatory reporting/preregistration templates so null results produce publishable bounds on (ϵ,η,κ)(\epsilon,\eta,\kappa)(ϵ,η,κ).
This paper proposes a new operational paradigm for gravity grounded in measurement, record formation, and reference stability. Observation is defined as recording: the stabilization of correlations into revisitable reference states, independent of human perception. On this basis, the paper introduces (i) the awareness tensor, the record-bearing correlation architecture of an observer-system, and (ii) the scalar clock, a local tick-field that can exist in selector-state regimes and becomes classical through clock-locking. The paper advances the Trinity principle, in which time, space, and energy are treated as complementary faces of a unified coherent state. Classical regimes arise through Trinity throttling, where one face is stabilized as the dominant reference channel while the others remain comparatively latent, producing a continuum of mixed observational modes. The keystone identification is that gravity is time decoherence: gravitational behavior is the macroscopic signature of time-selection as systems enter and couple into dominant mass time-zones under coupling gradients. An interpretive extension maps electromagnetic, weak, and strong interactions as channel-specific mismatch-relaxation processes within the same selection architecture (presented as programmatic rather than a full Standard Model derivation). The paper concludes with candidate distinguishing signatures and test avenues framed in the framework’s primitives: time mismatch, coupling gradients, clock-locking depth, and throttling regime. Related Zenodo works by the author: Consciousness and the Scalar Clock: A Unified Spacetime Framework (10.5281/zenodo.15703136) Scalar-Clock Quantization Near Mass: Predicting Entanglement Horizons in Precision Gravitational Tests (10.5281/zenodo.18002592) From Quarks to Cosmos: A Trinity-Centered Reformulation of Physical Reality (10.5281/zenodo.17970264)
Contact: Jonathan.duchesne@hotmail.com FinalTDG: Full Mathematical proposition. AddTDG22: Natural Add-ons TDGStressTest: Stress Test results TDGEX: Experimental Protocol TDGpaper: Abstract Temporal Decoherence Geometry (TDG) is a conservative theoretical framework that systematically explores a possible connection between quantum decoherence, weak-field gravity, and an emergent notion of time, while remaining strictly within a GKSL (Lindblad) open quantum dynamics, i.e. Markovian and completely positive, with no ad hoc collapse mechanism. The central idea of TDG is to take seriously the structure of decoherence of an open quantum system and promote it to an effective geometric object: a decoherence tensor Gamma_{mu nu}, constructed from a Lindblad generator, is introduced as the primary source of a weak-field gravitational potential and an emergent time defined from local decoherence rates. The framework is deliberately minimalist in its assumptions: weak-field regime, standard quantum mechanics (no modification of the Schrödinger equation or the GKSL structure), no exotic measurement postulates. This new “DOI version” collects and organises the following elements: A mathematical core in which Gamma_{mu nu} is derived from a GKSL generator (Lindbladian), a gradient-flow–type evolution drives Gamma_{mu nu} towards a quantity proportional to the usual energy-momentum tensor T_{mu nu}, an emergent time scalar T(x) is defined from the local decoherence rate lambda(x), under explicit integrability conditions, an effective weak-field gravitational potential Phi_TDG is associated with this decoherence structure. The analysis of static, spherically symmetric compact configurations, obtained from a simple “decoherence-energy” functional E[gamma], which: have a regular, non-singular core, exhibit a Yukawa-type tail, reproduce a Newtonian / Schwarzschild-like exterior over a given radial interval, while avoiding central singularities. A phenomenological layer in which TDG induces decoherence-dependent corrections to gravitational redshift, encoded in an effective parameter epsilon_TDG. This parameter is, in principle, falsifiable with state-of-the-art optical clocks, providing a clear experimental handle: TDG is not only a formal construction, but a framework that can be constrained or ruled out by precision redshift measurements. A key feature of this revised version is the inclusion of a set of analytical stress tests explicitly designed to challenge the model within the regime it claims to describe (weak-field, GKSL, Markovian): regular-core compact configurations, extreme parameter limits (diffusion, screening length scales, etc.), dynamical behaviour of the decoherence tensor, analysis of the absence of finite-time collapse in the GKSL setting. These stress tests show that, under the stated assumptions and within the weak-field regime, the TDG framework remains regular, well-posed, and consistent with its own domain of validity. The Zenodo deposit therefore gathers both a main TDG manuscript (model structure + weak-field applications) and a technical stress-test note, enabling readers to assess not only the construction itself, but also its internal robustness and phenomenological viability. This deposit is intended to serve as a stable reference for the current version of TDG: it provides the complete description of the framework together with the technical ingredients needed to evaluate its mathematical consistency, its compatibility with weak-field gravity, and its falsifiability through decoherence-sensitive redshift tests with optical clocks.
If gravity and entanglement share a common origin in the temporal flow rate field τ(x), then gravitational tidal fields should produce measurable decoherence of entanglement. This paper derives the first quantitative prediction for this effect. We construct the dynamics of a Non-Separable Temporal Bubble (NSTB) — the shared temporal configuration of two entangled particles — in a Schwarzschild gravitational background. The bubble's internal coherence field satisfies a wave equation with a tidal potential proportional to the second derivative of the background τ-field. Linearization yields a visibility reduction for entanglement: ΔV = GM d² / (c² r³ f_intrinsic) where d is the spatial extent of the bubble (the separation between entangled particles), r the distance from the gravitating mass, and f_intrinsic the internal frequency set by the fractal-temporal hierarchy. The key signature is the tidal scaling ∝ d²/r³, which uniquely distinguishes NSTB from competing gravitational decoherence proposals: Penrose-Diósi predicts mass-dependent decoherence (different observable), Ralph-Pienaar predicts gradient scaling ∝ d/r² (different power law), and standard QFT in curved spacetime predicts no decoherence at all (zero). Any observed gravitational decoherence of entanglement with d²/r³ scaling would therefore constitute direct evidence for a shared origin of gravity and quantum correlations. For Earth-orbit experiments with optical photons (d ~ 400 km, f ~ 10¹⁴ Hz), the predicted effect is ΔV ~ 10⁻²⁷ — far below current sensitivity. Near a neutron star with microwave-frequency entanglement (d ~ 100 km, f ~ 10¹⁰ Hz), the effect grows to ~ 10⁻¹⁰, within conceivable reach of future space-based quantum networks. Three enhancement strategies are identified: stronger tidal fields, larger bubble separations, and lower-frequency entangled states. The prediction closes an open parameter problem from the companion entanglement paper (κ = 1, f_bubble = f_photon) and establishes a concrete, falsifiable target for the emerging field of gravitational quantum experiments.
Gravity is traditionally understood either as geometric curvature (general relativity) or as an external classical field acting on quantum systems. This paper develops a unified alternative: gravity arises from spatial variation in the temporal coherence window τ(x), the finite interval over which quantum systems can sustain coherent phase relations before collapse. Building on experimental evidence that decoherence rates in laboratory systems obey an empirical κ/τ law, I show that gravitational self-energy constrains coherence time according to τgrav ∝ 1/√(Gρ). Three independent derivations—via a modified Lindblad equation, an effective potential Veff = A/τ, and spectral-overlap analysis—converge on the same dynamical law: a(x) = −∇[1/τ(x)], identifying gravitational acceleration as coherence-gradient descent. In this view, mass is condensed temporal capacity, curvature is the geometric imprint of temporal structure, and falling is the drift of quantum evolution toward regions where coherence collapses most rapidly. I extend this framework to show that gravity is engineerable: any spatially structured decoherence environment producing an artificial coherence profile τart(x) generates a gravitational-like acceleration agen(x) = −κart ∇[1/τart(x)], indistinguishable from natural gravitation insofar as their coherence-gradient profiles match. I provide explicit recipes for realizing such gradients using noise-shaping, optical scattering, dissipative optical lattices, and superconducting cavity engineering, along with quantitative acceleration estimates (10⁻⁷–10⁻³ m/s²) and full experimental protocols for cold atoms, matter-wave interferometry, and superconducting qubits. Finally, the framework offers a microphysical account of gravitational time dilation, predicts non-universal response in highly coherent systems, suggests achievable tabletop tests, and points toward a future τ-field theory capable of reproducing general relativity in the macroscopic limit. The result is a falsifiable, coherence-based foundation for gravitation and the first principled pathway to artificial gravity via engineered temporal coherence.
The MMA–DMF framework connects cosmological “dark sector” phenomenology with quantum-foundational phenomena by treating a single screened scalar field as both a mediator of large-scale modified gravity and a stochastic vacuum bath responsible for gravitational decoherence. This paper consolidates the full, dated MMA–DMF validation record contained in the project materials (with an audited, frozen parameter set) and reports the complete test suite relevant to uncertainty and decoherence: (i) a strict Fluctuation–Dissipation Theorem (FDT) stability test for the Generalized Langevin Equation (GLE) memory kernel, which passes an energy-drift criterion of |slope| < 10−5 in long integrations; (ii) a dynamic contextuality roll-off test in which the CHSH Bell parameter transitions from the Tsirelson value S ≈ 2.828 at quasi-static settings to the classical bound S → 2 under fast modulation, quantified by explicit frequency-dependent suppression formulas; and (iii) a T-MAGIS atom-interferometry campaign prediction in which a density-modulated environment produces a detectable contrast loss ∆V ≈ 3.4 × 10−3 to 4 × 10−3 under representative configurations, with a tabulated scaling versus distance and interrogation time and a shot-noise sensitivity forecast yielding high signal-to-noise for hour-scale integration. We also summarize MMA–DMF-linked phenomenology across scales, including a joint cosmological likelihood structure with cross-covariance correction and representative reported values (H0, S8) ≈ (72.1 km s−1 Mpc−1, 0.761), plus a gravitational-wave echo delay estimate of ∆techo ≈ 32 ms for stellar-mass systems. The combined record constrains MMA–DMF by demanding simultaneous thermodynamic consistency of the stochastic sector, a controlled transition from contextual to classical correlations under finite response time, and a falsifiable laboratory decoherence signature under controlled density modulation
Operational theorem package: R′ (resolution), T′ (common-mode invariance), C′ (sub-bin curvature irrelevance), D′ (near-null registrar trivialization), H′ (horizon implementability) This record contains the final manuscript and supporting materials for a strictly operational analysis of quantum measurement in spacetime. Following the introduction of Quantum Measurement Timeline Framework (QMTF), in which a measurement is defined as a POVM statement on a declared spacetime target frameD* = R* × T* at finite resolution (Δx, Δt). An event is the realization of a single POVM effect E_U on one spacetime bin U; all dynamical relations among alternatives—including gravitational influence—belong to pre-event evolution. Within this orthodox setting, we prove a five-part operational theorem package: R′ (resolution). Finite operational resolution is derived, not assumed, from the metrological chain quantum Fisher information → Bures/Fidelity → total variation distance, yielding explicit Δx_min and Δt_min at any discrimination threshold ε_disc. T′ (common-mode invariance). Uniform time dilation or global phases are probability-irrelevant for any POVM; only differential phases can affect outcome statistics. C′ (sub-bin curvature irrelevance). Curvature variations confined below the declared resolution cannot change single-bin event probabilities beyond ε_disc. After Hadamard-controlled spatial and temporal smearing, such effects are common-mode or strictly sub-threshold. D′ (near-null registrar trivialization). With finite information rate, the boundTVD ≤ √(F / 8) · τ implies that no nontrivial discrimination is possible as the registrar’s proper-time budget τ → 0. H′ (horizon implementability). An exterior laboratory cannot implement POVM effects localized strictly in the interior algebra of a black-hole spacetime; interior bins have zero operational support for exterior observers. Together, these results close “gravity at the event” in the single-run semiclassical domain: gravity can only shape pre-event phases and support via proper time and cannot appear as an event-internal degree of freedom at any finite operational resolution. Each theorem is stated with explicit inequalities and clean falsifiers (sub-resolution curvature tests, near-null discrimination limits, and exterior-only interior implementability), ensuring refutability. The framework uses no assumptions beyond standard quantum mechanics (POVMs and instruments) and general relativity (proper time and locality) and is consistent with interferometric observations such as COW neutron interferometry and Kasevich–Chu atom interferometers, where gravity appears exclusively through differential pre-event phases. Keywords: POVM measurement; operational quantum measurement; quantum Fisher information; distinguishability bounds; Unruh–DeWitt detector; Hadamard states; proper time; semiclassical quantum mechanics and general relativity; algebraic quantum field theory; interferometry, QMTF. Author: R. Necsanu ORCID: 0009‑0009‑1281‑9180 Reference record (QMTF): Necsanu (2026), Zenodo 10.5281/zenodo.18262158