TITLE:Gravitational Activation from Accumulated Decoherence: A PhenomenologicalFramework with Testable Predictions We present a phenomenological framework in which classical gravitationalsourcing emerges from irreversibly accumulated decoherence. The centralvariable is the accumulated decoherence parameter D, constructed as amonotone, partition-dependent functional of purity loss underGorini-Kossakowski-Lindblad-Sudarshan (GKLS) open-system dynamics. The framework introduces a critical distinction between gravitationalresponse and gravitational activation. All quantum systems — includingcoherent superpositions — respond universally to existing gravitationalfields, preserving the weak equivalence principle. However, the capacityto source a classical gravitational field is conditioned on accumulateddecoherence: only systems with sufficient D contribute to the gravitationalpotential. This directed structure resolves conceptual tensions betweenquantum coherence and classical geometry without modifying unitary dynamicsor the Schrodinger equation. Gravitational activation is modelled via a Hill-function sigmoid mapping Dto an effective sourcing fraction, controlled by two phenomenologicalparameters: a characteristic decoherence scale D* and a sharpness exponentn. An optional nonlinear feedback mechanism (the Bootstrap Closure) couplesgravitational activation back into the decoherence rate, producing a sharpcrossover — the Quantum Curie Point — at which the system transitionsrapidly from negligible to full gravitational sourcing. We provide numerical estimates of D for five candidate experimental systemsspanning 60 orders of magnitude in mass, from isolated electrons to LIGOtest masses and cosmological horizons. All estimates yield physicallysensible results: coherent laboratory systems show negligible activation,while macroscopic classical objects are deeply in the fully activated regime. Three classes of testable predictions are identified: (1) a mesoscopicpressure-sweep protocol for levitated nanoparticles in which gravitationalsourcing is predicted to exhibit a pressure-dependent suppression below acritical vacuum threshold; (2) constraints on the framework parameters fromBig Bang nucleosynthesis helium abundance, requiring gravitational couplingto be within 20% of Newton’s constant by t ~ 1 second; and (3) potentialmodifications to compact object formation if the activation timescaleexceeds the dynamical collapse timescale. The framework is phenomenologically closed, empirically constrainable,and falsifiable through existing and near-future experimental platformsin mesoscopic optomechanics and matter-wave interferometry. LICENSE:Creative Commons Attribution 4.0 International (CC BY 4.0) RELATED IDENTIFIERS (optional — add if/when available): - Entropy-Referenced Cosmology: Operational time from coarse-grained entropy production (D’Angelo & D’Angelo, in preparation)- Decoherence-Gravitation Equivalence and the Bootstrapping of Classical Spacetime (D’Angelo & D’Angelo, in preparation) NOTES:This is a preprint deposited for priority timestamp. The work was conductedindependently by the PACES Research Group. Correspondence: jpaces33@gmail.com
TITLE:Gravitational Activation from Accumulated Decoherence: A PhenomenologicalFramework with Testable Predictions We present a phenomenological framework in which classical gravitationalsourcing emerges from irreversibly accumulated decoherence. The centralvariable is the accumulated decoherence parameter D, constructed as amonotone, partition-dependent functional of purity loss underGorini-Kossakowski-Lindblad-Sudarshan (GKLS) open-system dynamics. The framework introduces a critical distinction between gravitationalresponse and gravitational activation. All quantum systems — includingcoherent superpositions — respond universally to existing gravitationalfields, preserving the weak equivalence principle. However, the capacityto source a classical gravitational field is conditioned on accumulateddecoherence: only systems with sufficient D contribute to the gravitationalpotential. This directed structure resolves conceptual tensions betweenquantum coherence and classical geometry without modifying unitary dynamicsor the Schrodinger equation. Gravitational activation is modelled via a Hill-function sigmoid mapping Dto an effective sourcing fraction, controlled by two phenomenologicalparameters: a characteristic decoherence scale D* and a sharpness exponentn. An optional nonlinear feedback mechanism (the Bootstrap Closure) couplesgravitational activation back into the decoherence rate, producing a sharpcrossover — the Quantum Curie Point — at which the system transitionsrapidly from negligible to full gravitational sourcing. We provide numerical estimates of D for five candidate experimental systemsspanning 60 orders of magnitude in mass, from isolated electrons to LIGOtest masses and cosmological horizons. All estimates yield physicallysensible results: coherent laboratory systems show negligible activation,while macroscopic classical objects are deeply in the fully activated regime. Three classes of testable predictions are identified: (1) a mesoscopicpressure-sweep protocol for levitated nanoparticles in which gravitationalsourcing is predicted to exhibit a pressure-dependent suppression below acritical vacuum threshold; (2) constraints on the framework parameters fromBig Bang nucleosynthesis helium abundance, requiring gravitational couplingto be within 20% of Newton’s constant by t ~ 1 second; and (3) potentialmodifications to compact object formation if the activation timescaleexceeds the dynamical collapse timescale. The framework is phenomenologically closed, empirically constrainable,and falsifiable through existing and near-future experimental platformsin mesoscopic optomechanics and matter-wave interferometry. LICENSE:Creative Commons Attribution 4.0 International (CC BY 4.0) RELATED IDENTIFIERS (optional — add if/when available): - Entropy-Referenced Cosmology: Operational time from coarse-grained entropy production (D’Angelo & D’Angelo, in preparation)- Decoherence-Gravitation Equivalence and the Bootstrapping of Classical Spacetime (D’Angelo & D’Angelo, in preparation) NOTES:This is a preprint deposited for priority timestamp. The work was conductedindependently by the PACES Research Group. Correspondence: jpaces33@gmail.com
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.
Contact Jonathan.duchesne@hotmail.com 418-953-0596 This thesis presents Time–Decoherence Gravity (TDG), a unified theoretical framework in which spacetime geometry, gravitation, and the physical flow of time arise from fundamental quantum decoherence. Rather than treating decoherence as an environmental or effective process, TDG builds on a covariant extension of the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation, where four directional Lindblad operators encode intrinsic, irreversible information loss. These operators define a “decoherence tensor,” which acts both as a memory of quantum irreversibility and as the generator of emergent spacetime geometry through a nonlinear constitutive relation. The theory provides a coherent gravitational collapse mechanism based on the incompatibility of decoherence patterns across quantum branches. This leads to an intrinsic “decoherence energy,” whose magnitude determines the collapse timescale, extending and generalizing the well-known Penrose–Diósi models. TDG predicts a smooth transition from persistent microscopic coherence to rapid macroscopic collapse. At cosmological scales, a homogeneous decoherence tensor naturally generates modified Friedmann dynamics, early-universe stiff-fluid behavior, and late-time acceleration without requiring a fine-tuned cosmological constant. Black-hole entropy emerges as a saturation of decoherence memory at the horizon, while Hawking radiation appears as the dissipative relaxation of this saturation. The theory also predicts short-range deviations from Newtonian gravity and a universal spectrum of fundamental gravitational noise. Finally, TDG offers several experimentally testable signatures involving optical clocks, mesoscopic interferometry, short-range force measurements, and correlated phase noise in global timing networks. The framework is internally consistent, falsifiable, and provides a novel and unified approach to the relationship between quantum mechanics, gravity, and the arrow of time.
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.
This work presents a heuristic optimization framework that generates specific, quantitative, and testable predictions regarding the quantum-classical transition boundary. Rather than proposing a fundamental theory of quantum gravity or resolving the measurement problem, the framework introduces a phenomenological state-selection criterion based on information-theoretic efficiency under gravitational constraints. Core Predictions & Scope: The Optimization Cliff: Predicts an abrupt collapse of quantum coherence at critical gravitational thresholds (rc≈1.2 mm for levitated 106 amu silica nanoparticles near a 10 g test mass) with a sharp transition width (Δr/rc<0.05), contrasting sharply with the smooth decay predicted by conventional decoherence models. Falsifiability: Provides explicit experimental signatures for terrestrial gradient interferometry and levitated optomechanics, establishing clear go/no-go criteria for empirical refutation. Epistemic Status: Formulated as a productive generative metaphor, the framework maintains strict agnosticism regarding underlying ontology, clearly separating its testable core from speculative extensions. Chronological & Contextual Note: This manuscript reflects the revised version of the framework completed in April 2026 (originally formulated in February 2026). It is deposited on Zenodo as an open-access preprint following an initial deposit on OSF Preprints to ensure permanent digital preservation, DOI indexing via CERN, and open availability for the research community.
Levitated optomechanical systems are approaching the regime where macroscopic quantum superpositions become experimentally accessible. A central question is whether gravity itself, through its unavoidable coupling to material quantum fluctuations, imposes a fundamental decoherence channel on such superpositions. Starting from two independently well-tested physical elements—the quantum vacuum fluctuations of the material energy-momentum tensor, and the weak-field linear response kernel of classical general relativity—we derive a structurally rigid scaling law for the gravitational decoherence rate: \Gamma \propto G M^2 d^2 / (\hbar L^3) \cdot \Phi(l_*/L). The exponents and dependence on mass M, superposition separation d, and object size L are fixed entirely by dimensional analysis and the semiclassical field equations, without tunable parameters. The overall amplitude is set by a single phenomenological input—the ultraviolet cutoff scale l_* of the effective geometric noise. Identifying l_* with the Planck length yields \Phi \sim \mathcal{O}(1) and a decoherence rate of order 1\,\text{Hz} for nanoparticles with M \sim 10^{-14}\,\text{kg}, d \sim 10^{-7}\,\text{m}, and L \sim 10^{-6}\,\text{m}, placing the prediction within the foreseeable sensitivity window of next-generation levitated optomechanical setups. We provide explicit falsification conditions, a three-path staged verification strategy that does not require simultaneous optimisation of all parameters, and operational signatures—including a distinctive pure-dephasing channel without energy relaxation—that distinguish this mechanism from environmental noise, zero-temperature electromagnetic vacuum fluctuations, and the Diósi-Penrose model.
Laboratory-based experimental tests remain a central challenge in the study of the quantum-gravity interface. We present a quantitative, experimentally testable prediction for gravitationally induced quantum decoherence of spatial superpositions in levitated optomechanical systems. Starting from two independently well-tested physical elements—the quantum nature of material energy-momentum fluctuations (established in particle physics) and the linear response kernel of classical geometry (derived from the weak-field limit of general relativity and verified by gravitational-wave observations)—and supplementing them with a minimal extension postulate for superposition states, we obtain a rigid scaling law for the gravitational decoherence rate: \Gamma \sim G M^2 d^2 / (\hbar L^3) \cdot \Phi(l_*/L), where M is the mass of the object, d the spatial separation of the superposition branches, L the characteristic linear dimension, and \Phi a dimensionless function encoding the unknown ultraviolet cutoff scale l_* of the effective geometric noise. The structural form \Gamma \propto M^2 d^2 / L^3 contains no free adjustable parameters; the overall amplitude is set by the choice of l_*. Identifying l_* with the Planck length \ell_P = \sqrt{\hbar G / c^3}—the only known scale bridging quantum theory and gravity—yields \Phi \sim \mathcal{O}(1) and a specific numerical target. For current levitated nanoparticle experiments (M \sim 10^{-14}\,\text{kg}, d \sim 10^{-7}\,\text{m}, L \sim 10^{-6}\,\text{m}), this Planck-scale hypothesis predicts a decoherence rate of order 1\,\text{Hz}, placing it within the foreseeable sensitivity window of next-generation optomechanical setups. We discuss the exclusive physical signatures distinguishing this mechanism from environmental decoherence channels and outline explicit falsification conditions, providing experimental groups with a concrete target to probe the quantum-gravity interface in the laboratory.