We present a derivation of quantum decoherence rates within a vacuum pressure gradient model of gravity, in which local vacuum density decreases near massive objects according to rho_vac(r) = rho_0*(1 - 2GM/rc^2). This model predicts that decoherence rates are suppressed near massive objects — in direct opposition to the Diosi-Penrose model, which predicts enhancement near mass. The sign reversal produces a measurable fractional difference of 3GM/rc^2 between the two model predictions. We identify that quantum decoherence and macroscopic void decay are the same physical process at different scales, both governed by local vacuum bubble density eroding void-pair boundaries. We propose an experimental protocol using atomic interferometry at varying gravitational potentials, achievable with existing space-based platforms, that discriminates between this model and Diosi-Penrose by sign alone. For trapped ion qubits with coherence times of order 100 seconds, the predicted fractional improvement between Earth surface and the International Space Station is 8.22 x 10^-11.UFFT Paper #1. Part of the Unified Foam Field Theory (B + V = D). Zero free parameters. GitHub: https://github.com/WebEnvy/UnifiedFoamFieldTheory
We present a derivation of quantum decoherence rates within a vacuum pressure gradient model of gravity, in which local vacuum density decreases near massive objects according to rho_vac(r) = rho_0*(1 - 2GM/rc^2). This model predicts that decoherence rates are suppressed near massive objects — in direct opposition to the Diosi-Penrose model, which predicts enhancement near mass. The sign reversal produces a measurable fractional difference of 3GM/rc^2 between the two model predictions. We identify that quantum decoherence and macroscopic void decay are the same physical process at different scales, both governed by local vacuum bubble density eroding void-pair boundaries. We propose an experimental protocol using atomic interferometry at varying gravitational potentials, achievable with existing space-based platforms, that discriminates between this model and Diosi-Penrose by sign alone. For trapped ion qubits with coherence times of order 100 seconds, the predicted fractional improvement between Earth surface and the International Space Station is 8.22 x 10^-11.UFFT Paper #1. Part of the Unified Foam Field Theory (B + V = D). Zero free parameters. GitHub: https://github.com/WebEnvy/UnifiedFoamFieldTheory
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.
This paper develops the gravitational decoherence sector of MonoField Theory, a framework in which physical reality is described by a single classical field (\Phi: \mathbb{R}^{3,1} \to S^3) and matter appears as Skyrmion solitons. Only the Skyrmion centre-of-mass position is quantized, while the ripple sector of (\Phi) acts as a classical stochastic environment. Using standard open quantum systems methods, the work derives the structural form of the decoherence rate (\gamma \sim (G M^2/\hbar R),Y), identifies a microscopic cutoff scale (\ell_0) that suppresses short-distance correlations, and obtains a testable scaling law (\gamma \propto R^{5-\alpha}) at fixed density, in contrast to the Diósi–Penrose prediction (\gamma \propto R^5). The paper maps the phenomenological parameter space ((\ell_0, \alpha, T_{\mathrm{eff}})), discusses consistency with existing matter interferometry, and outlines how future nanoparticle experiments can constrain or measure the effective exponent (\alpha).
This study explores quantum effects in weak gravitational fields with the aim of identifying feasible pathways towards tabletop tests of quantum gravity. Using numerical simulations of matter-wave interference for nanoparticles with masses between and kg, we investigate how environmental and fundamental decoherence mechanisms shape observable signatures. The results reveal a mass-dependent reduction in interference visibility, dropping from near unity at kg to below 0.2 at kg. Coherence times were found to exceed one second for particles lighter than 10^(-16) kg under cryogenic ultra-high-vacuum conditions, but decreased to sub-millisecond scales for kg particles at room temperature, confirming thermal radiation as the dominant source of decoherence. In parallel, collapse models such as CSL predict additional suppression of visibility for interrogation times of 0.1 s, particularly for masses above kg, enabling discrimination between environmental and intrinsic decoherence mechanisms. These findings underscore the necessity of maintaining ultra-high vacuum and cryogenic environments to detect gravitationally induced quantum phases, thereby providing a practical framework for near-future interferometry experiments. While the present work is limited to phenomenological models and simulated data, it establishes a roadmap for extending investigations to heavier mass regimes, incorporating realistic noise sources, and testing alternative collapse scenarios.
GRUT Gravitational Decoherence from the CTP Influence Functional: A Zero-Parameter Prediction with Six Discriminating Signatures We derive the gravitational decoherence rate for mesoscopic objects from the imaginary part of the Schwinger-Keldysh (closed-time-path) influence functional. The derivation requires no assumptions beyond the CTP axioms — path doubling and retarded variation — and the Newtonian limit of the graviton propagator. No coupling constants, collapse rates, or correlation lengths are introduced. The decoherence rate Λ_grav = Gm²S(l/R)/(ℏl), with the extended-body suppression factor S(l/R) = min(1, (l/R)³/6), is a direct output of the imaginary part of the CTP influence functional, following the approach of Anastopoulos and Hu (2013). The paper is self-contained: it derives the decoherence rate from the CTP influence functional alone, without reference to the broader GRUT constitutive framework. The prediction produces six experimentally discriminating signatures that collectively fingerprint gravitational decoherence: mass-squared scaling (F1), geometry dependence through S(l/R) distinguishing gold from silica at the same mass (F2), a pressure-independent decoherence plateau as environmental noise is removed (F3), far-field separation scaling Λ ~ l⁻¹ (F4), entanglement protection where Bell states decohere slower than product states (F5), and a geometric kink at l = 6¹/³R ≈ 1.817R where the near-field l² regime transitions to the far-field 1/l regime (F6). An adversarial comparison against five competing models — constant floor, power-law, CSL, Diósi-Penrose point-mass, and Penrose objective reduction — shows that no tested alternative reproduces all six signatures simultaneously. The geometric kink (F6) kills all point-mass models, geometry dependence (F2) kills all constant-floor models, and entanglement protection (F5) kills all state-independent models. A single experiment measuring F1 + F2 + F6 would be decisive. All experimental benchmarks use realizable objects with known material densities — correcting previous literature benchmarks that assumed physically inconsistent parameters. The gold microsphere benchmark (R = 1 μm, m = 80.8 pg, l = 1 μm) produces Λ_grav ~ 689 Hz with coherence time ~1.5 ms. A silica sphere at the same mass demonstrates the geometry signature (F2) with a different rate. Heating from gravitational momentum diffusion is safe by more than 60 orders of magnitude — the extended-body suppression S(l/R) prevents the UV divergence that causes heating problems in point-mass models. The prediction is robust against non-Markovian corrections because it depends on the noise kernel (a property of the quantum state and the gravitational field), not on the dynamical evolution equation. Theoretical corrections to the kernel — post-Newtonian O(10⁻¹⁶), 2-loop graviton O(10⁻⁸), compactness O(10⁻²⁷) — are negligible at laboratory scales. A concrete experimental proposal targets next-generation optomechanical systems at the 10-picogram scale. The required parameters (mass > 10 pg, separation > 100 nm, pressure < 10⁻¹⁰ Pa, temperature < 100 mK, coherence time > 1 ms) are within reach of current technology trajectories. Four target experimental groups are identified: Arndt (Vienna), Aspelmeyer (Vienna), Geraci (Northwestern), and Bateman (UCL). The protocol specifies six steps from superposition preparation through pressure scanning, material comparison, and kink identification. If the decoherence rate continues to decrease with pressure below 10⁻¹⁰ Pa (no plateau), the prediction is falsified. Through the decoherence-cosmology bridge, a single laboratory measurement of Λ_grav at any (m, l) would fix τ₀ independently and determine the vacuum expansion rate of the universe — connecting a tabletop measurement to the cosmological constant. Key Insights: 1. Gravitational decoherence rate Λ_grav = Gm²S(l/R)/(ℏl) derived from the CTP influence functional with zero free parameters — self-contained, no reference to the broader GRUT framework required 2. Six experimentally discriminating signatures (F1–F6) that no tested alternative decoherence model reproduces simultaneously 3. The geometric kink at l = 6¹/³R ≈ 1.817R is the single most discriminating feature — it kills all point-mass models and requires only measuring Λ(l) across the near-field/far-field transition 4. A single experiment measuring F1 (mass-squared) + F2 (geometry) + F6 (kink) would be decisive, even without reaching the absolute rate 5. Corrected benchmarks using realizable objects: gold microsphere (R = 1 μm, m = 80.8 pg) produces Λ ~ 689 Hz — previous literature benchmarks at 10 pg / R = 50 nm are physically inconsistent 6. Heating from gravitational momentum diffusion is safe by > 60 orders of magnitude — extended-body suppression prevents the UV divergence of point-mass models 7. Robust against non-Markovian corrections: the rate depends on the noise kernel (pre-dynamical), not the equation of motion 8. Theoretical corrections negligible at lab scales: post-Newtonian O(10⁻¹⁶), 2-loop graviton O(10⁻⁸), compactness O(10⁻²⁷) 9. Concrete experimental proposal for optomechanical systems at 10 pg scale, with required parameters, six-step protocol, and explicit positive/null result criteria 10. Four target experimental groups identified: Arndt, Aspelmeyer, Geraci, Bateman 11. Adversarial comparison: five competing models tested, each killed by complementary signature failures — no single alternative survives the full six-signature space 12. Decoherence-cosmology bridge: a single lab measurement of Λ_grav fixes τ₀ and determines the vacuum expansion rate — connecting a tabletop experiment to the cosmological constant
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
We evaluate the macroscopic entanglement-loss implications of gravitational time dilation, first identified by Pikovski et al. (2015). By moving beyond the idealized zero-temperature single-mode approximation to a continuous Debye model in the canonical ensemble, we derive the explicit phononic heat-capacity limits for spontaneous gravitational decoherence. We find that the decoherence rate driven by internal time-dilation variance strongly scales with σ∝T5/2 at ultra-low experimental temperatures (T≪ΘD), vanishing strictly at absolute zero. Furthermore, we demonstrate mathematically that translational invariance renders proper-time differences between spatially distinct branches of an identical matter distribution identically zero. Thus, contrary to the Diósi-Penrose approach, an isolated mass in a pure superposition cannot undergo solely self-gravitational state-collapse. Decoherence requires either an external gravitational potential gradient or internal structural asymmetry. Lastly, we prove that the topological spectral dimension ds of the macroscopic test mass determines the decoherence rate scaling, creating a new class of ultra-sensitive 'fracton-gravity sensors'.