GRUT Programatic ToE v6: Constitutive Response Theory from the CTP Effective Action GRUT v6: Constitutive Response Theory from the CTP Effective Action derives a unified response framework from the closed-time-path (Schwinger-Keldysh) effective action S_CTP and extracts an effective constitutive response equation τ dz/dt + z = z_target[z] in the relevant sectoral limits. The target functional z_target[z] is not postulated — it emerges from the variation δS_CTP/δz_a = 0, with the noise kernel N(x,x') emerging from the second variation δ²S/δz_a² = iN. These are two outputs of one CTP action: the deterministic response and the stochastic fluctuations. The constitutive projection (replacing d²/dt² with (1/τ)d/dt) has sector-dependent status: it is exact in sectors with first-order underlying dynamics (the Schrödinger equation is already first-order; the decoherence rate comes from the noise kernel, not the constitutive equation), and is a heuristic effective projection in sectors with second-order dynamics (gravity, cosmology, QG). The framework's sharpest predictions — the decoherence plateau and QM recovery — do not depend on the constitutive projection. The normalization τ_I = ℏ/2 is a definition (selecting the Keldysh convention that recovers quantum mechanics), not a physical axiom, reducing the framework to two axioms (CTP doubling, directed response) plus one definition. Four sectoral limits are developed in detail. Sector 1 (Quantum Mechanics): the nonrelativistic limit of the CTP variation gives the Schrödinger equation exactly, with the ground state as the fixed point z = z_target[z]. 12/12 tests pass. Sector 2 (Electroweak/SM): the Standard Model Lagrangian is imported as S_classical in the CTP action — the framework hosts it, does not derive it. 13/13 tests. Sector 3 (Gravitational Decoherence): the noise kernel becomes the Diósi gravitational self-energy functional, yielding Λ_grav = Gm²S(l/R)/(ℏl) with zero free parameters. The corrected benchmark uses a gold microsphere (R = 1 μm, m = 80.8 pg, l = 1 μm) giving 689 Hz with 1.5 ms coherence time. Earlier benchmarks (10 pg, R = 50 nm) were physically inconsistent. The full Lindblad master equation is documented and verified (max population error 1.4 × 10⁻⁶ vs Boltzmann). Momentum diffusion gives a heating rate of 4.7 × 10⁻⁶⁸ W — safe by over 60 orders of magnitude, though a complete heating analysis has not been performed. Six discriminating signatures distinguish this prediction from all tested alternatives. 14/14 tests. Sector 5 (Cosmology): a 10-step derivation chain (7 computed, 3 structural) produces the vacuum expansion rate H_∞ = (2 − R_anomaly)/(S × τ_0) = 1.885 × 10⁻¹⁸ Hz as an absolute prediction independent of H₀. The structural steps (linearity from single 3-loop insertion, CTP boundary conditions, dimensional assembly) constrain the formula to a unique form but do not constitute a derivation from a Lagrangian. The implied Ω_Λ is H₀-dependent: 0.2% accuracy at H₀ = 70, 8.1% at Planck H₀ = 67.4. The standard perturbative loop expansion cannot reach this result because it hits the cosmological constant problem at 1-loop; the structural route uses scheme-protected anomaly coefficients. A 329-era non-perturbative discrete map with exact retarded memory kernel produces three-phase expansion with 100% robustness and zero fitting. Linearized tensor gravity (Sector 12) yields a graviton propagator G_R(k,ω) = −16πG/[(ω² − k²c²)(1 − iωτ_grav)] that is massless (same pole as GR), ghost-free (imaginary pole is dissipative), UV-improved (1/ω³ vs 1/ω² in GR), and recovers classical GR to 10⁻¹⁰ at LIGO frequencies. Black hole information is resolved through the constitutive memory kernel K(t) = (1/τ_grav)exp(−t/τ_grav), which controls information correlation between the interior and outgoing Hawking radiation via the overlap factor η(M) = exp(−t_infall/τ_grav). The τ₀ branch (τ_grav = 41.9 Myr) gives η = 1 for all astrophysical masses, yielding 99.94% information recovery during evaporation with a Page-like turnover at the halfway point — non-thermal, unitary, constitutively correlated radiation. The T_Planck branch gives end-stage release only. This achieves 5/5 quantum gravity closure conditions for the τ₀ branch (graviton, UV completion, backreaction, BH information, classical GR) and 4/5 + end-stage for the T_Planck branch. The branch choice is a discriminable prediction, not an ambiguity. Neither resolution is available in standard GR, which has no metric memory kernel. Dark matter (Sector 9) is addressed through a gauged extension: the global Z₂ symmetry of the double-well potential is promoted to a local U(1)_dark gauge symmetry, fixing λ = g²_dark/2. Two routes determine g_dark: RG running from the Planck scale via the one-loop U(1) beta function (λ = 0.42, M = 2.1 × 10⁹ GeV) and anomaly extraction from CTP coefficients (λ = 3.83, M = 2.3 × 10⁸ GeV). Both give natural λ, viable σ/m (10⁻³–10⁻² cm²/g within Bullet Cluster bounds), and superheavy soliton masses in the 10⁸–10⁹ GeV range. The dark sector spectrum includes a massive dark photon (m_A' = g_dark v ≈ 387 MeV, sub-GeV, not yet excluded) and a dark Higgs at the pion scale. The extension class is finite and viable; unique branch selection within the window has not been achieved. 8/8 gauged tests pass. Additional mapped sectors include QCD confinement (threshold at 0.81 GeV, Wilson loop area-law confirmed), flavor hierarchy (Koide formula at 0.005%), coupling unification (f_self = 0.93), neutrino masses (near-zero fixed point, seesaw as threshold crossing), baryogenesis (3/3 Sakharov conditions structural), and neural gamma resonance (40 Hz from two independent routes: 39.9 Hz gravitational, 41.7 Hz network topology, 20/20 tests). The primary falsification test is the gravitational decoherence plateau — if no plateau is observed, Λ_grav is wrong, the USL constants lose their grounding, the cosmological formula loses its inputs, and the framework is falsified at its core. The structural mappings in other sectors are independently testable and do not logically depend on the plateau measurement. The document is explicit about what is not claimed: mechanism for subjective experience, observable GW/QNM modifications (dead at ~10⁻³⁹ rad), resolution of the Hubble tension, exact fermion masses, and "decoherence is undefined" in the Lindblad sense (only the constitutive driving term is zero at the fixed point). All computations are reproducible via the grut_solver package (github.com/ryangrvr/GRUT-RAI-v1.0). 183 passing tests. 13 sectors. One CTP action. Key Points: 1. A unified CTP response framework is derived from the Schwinger-Keldysh effective action, with the constitutive equation τ dz/dt + z = z_target[z] and noise kernel emerging as two outputs of one variational principle. The constitutive projection is exact in first-order sectors (QM, decoherence) and a heuristic effective projection in second-order sectors (gravity, cosmology) — the framework's sharpest predictions do not depend on the projection. 2. The Schrödinger equation is derived as the nonrelativistic limit of the CTP variation (exact, 12/12 tests). The gravitational decoherence rate Λ_grav = Gm²S(l/R)/(ℏl) comes from the noise kernel with zero free parameters (exact, 14/14 tests). The corrected benchmark uses a gold microsphere (R = 1 μm, m = 80.8 pg, 689 Hz). The full Lindblad master equation is documented and verified. 3. A 10-step derivation chain (7 computed, 3 structural) produces the vacuum expansion rate H_∞ = 1.885 × 10⁻¹⁸ Hz as an absolute prediction independent of H₀. The structural steps constrain the formula uniquely but do not constitute a conventional derivation. The implied Ω_Λ is H₀-dependent (0.2% at H₀ = 70, 8.1% at Planck). The structural route uses scheme-protected anomaly coefficients, bypassing the cosmological constant problem. 4. The graviton propagator is massless, ghost-free, UV-improved (1/ω³), and recovers classical GR to 10⁻¹⁰ at LIGO frequencies. Black hole information is resolved through the constitutive memory kernel: the τ₀ branch achieves 99.94% information recovery with a Page-like turnover and non-thermal unitary radiation (5/5 QG closures). The T_Planck branch gives end-stage release only (4/5 + end-stage). 5. Dark matter is closed as a gauged extension class: U(1)_dark fixes λ = g²_dark/2 via two routes (RG running: λ = 0.42, M = 2.1 × 10⁹ GeV; anomaly extraction: λ = 3.83, M = 2.3 × 10⁸ GeV). The dark sector spectrum includes a dark photon (~387 MeV) and dark Higgs at the pion scale. Both routes viable; unique branch selection remains open. 8/8 gauged tests pass. 6. τ_I = ℏ/2 is a normalization choice (selecting the Keldysh convention that recovers QM), not a physical axiom. This reduces the framework to two axioms (CTP doubling, directed response) plus one definition, with the mass-dependent conversion c₂ = ℏ²/(4m) providing sector-specific dimensional translation. 7. Six discriminating signatures distinguish the decoherence prediction from all tested alternatives (CSL, Diósi-Penrose point-mass, constant floor, power-law): pressure plateau, geometry dependence, entanglement protection, l-scaling, geometric kink at l = 1.8R, and mass-squared scaling. Heating rate (4.7 × 10⁻⁶⁸ W) is safe by over 60 orders; complete analysis not yet performed. 8. The self-referential fixed point z = z_target[z] organizes all sectoral limits as different expressions of the same CTP action: ground state (QM), gravitational plateau (decoherence), vacuum H_∞ (cosmology), confining vacuum (QCD), broken vacuum (electroweak), and gamma resonance (neural). The threshold is not a separate postulate — it is the constitutive equation's approach to its own fixed point. 9. QCD confinement (0.81 GeV threshold, Wilson loop area-law), flavor hierarchy (Koide at 0.005%), coupling unification (f_self = 0.93), neutrino masses (near-zero fixed point, seesaw as threshold crossing), baryogenesis (3/3 Sakharov structura
GRUT Programatic ToE v6: Constitutive Response Theory from the CTP Effective Action GRUT v6: Constitutive Response Theory from the CTP Effective Action derives a unified response framework from the closed-time-path (Schwinger-Keldysh) effective action S_CTP and extracts an effective constitutive response equation τ dz/dt + z = z_target[z] in the relevant sectoral limits. The target functional z_target[z] is not postulated — it emerges from the variation δS_CTP/δz_a = 0, with the noise kernel N(x,x') emerging from the second variation δ²S/δz_a² = iN. These are two outputs of one CTP action: the deterministic response and the stochastic fluctuations. The constitutive projection (replacing d²/dt² with (1/τ)d/dt) has sector-dependent status: it is exact in sectors with first-order underlying dynamics (the Schrödinger equation is already first-order; the decoherence rate comes from the noise kernel, not the constitutive equation), and is a heuristic effective projection in sectors with second-order dynamics (gravity, cosmology, QG). The framework's sharpest predictions — the decoherence plateau and QM recovery — do not depend on the constitutive projection. The normalization τ_I = ℏ/2 is a definition (selecting the Keldysh convention that recovers quantum mechanics), not a physical axiom, reducing the framework to two axioms (CTP doubling, directed response) plus one definition. Four sectoral limits are developed in detail. Sector 1 (Quantum Mechanics): the nonrelativistic limit of the CTP variation gives the Schrödinger equation exactly, with the ground state as the fixed point z = z_target[z]. 12/12 tests pass. Sector 2 (Electroweak/SM): the Standard Model Lagrangian is imported as S_classical in the CTP action — the framework hosts it, does not derive it. 13/13 tests. Sector 3 (Gravitational Decoherence): the noise kernel becomes the Diósi gravitational self-energy functional, yielding Λ_grav = Gm²S(l/R)/(ℏl) with zero free parameters. The corrected benchmark uses a gold microsphere (R = 1 μm, m = 80.8 pg, l = 1 μm) giving 689 Hz with 1.5 ms coherence time. Earlier benchmarks (10 pg, R = 50 nm) were physically inconsistent. The full Lindblad master equation is documented and verified (max population error 1.4 × 10⁻⁶ vs Boltzmann). Momentum diffusion gives a heating rate of 4.7 × 10⁻⁶⁸ W — safe by over 60 orders of magnitude, though a complete heating analysis has not been performed. Six discriminating signatures distinguish this prediction from all tested alternatives. 14/14 tests. Sector 5 (Cosmology): a 10-step derivation chain (7 computed, 3 structural) produces the vacuum expansion rate H_∞ = (2 − R_anomaly)/(S × τ_0) = 1.885 × 10⁻¹⁸ Hz as an absolute prediction independent of H₀. The structural steps (linearity from single 3-loop insertion, CTP boundary conditions, dimensional assembly) constrain the formula to a unique form but do not constitute a derivation from a Lagrangian. The implied Ω_Λ is H₀-dependent: 0.2% accuracy at H₀ = 70, 8.1% at Planck H₀ = 67.4. The standard perturbative loop expansion cannot reach this result because it hits the cosmological constant problem at 1-loop; the structural route uses scheme-protected anomaly coefficients. A 329-era non-perturbative discrete map with exact retarded memory kernel produces three-phase expansion with 100% robustness and zero fitting. Linearized tensor gravity (Sector 12) yields a graviton propagator G_R(k,ω) = −16πG/[(ω² − k²c²)(1 − iωτ_grav)] that is massless (same pole as GR), ghost-free (imaginary pole is dissipative), UV-improved (1/ω³ vs 1/ω² in GR), and recovers classical GR to 10⁻¹⁰ at LIGO frequencies. Black hole information is resolved through the constitutive memory kernel K(t) = (1/τ_grav)exp(−t/τ_grav), which controls information correlation between the interior and outgoing Hawking radiation via the overlap factor η(M) = exp(−t_infall/τ_grav). The τ₀ branch (τ_grav = 41.9 Myr) gives η = 1 for all astrophysical masses, yielding 99.94% information recovery during evaporation with a Page-like turnover at the halfway point — non-thermal, unitary, constitutively correlated radiation. The T_Planck branch gives end-stage release only. This achieves 5/5 quantum gravity closure conditions for the τ₀ branch (graviton, UV completion, backreaction, BH information, classical GR) and 4/5 + end-stage for the T_Planck branch. The branch choice is a discriminable prediction, not an ambiguity. Neither resolution is available in standard GR, which has no metric memory kernel. Dark matter (Sector 9) is addressed through a gauged extension: the global Z₂ symmetry of the double-well potential is promoted to a local U(1)dark gauge symmetry, fixing λ = g²_dark/2. Two routes determine g_dark: RG running from the Planck scale via the one-loop U(1) beta function (λ = 0.42, M = 2.1 × 10⁹ GeV) and anomaly extraction from CTP coefficients (λ = 3.83, M = 2.3 × 10⁸ GeV). Both give natural λ, viable σ/m (10⁻³–10⁻² cm²/g within Bullet Cluster bounds), and superheavy soliton masses in the 10⁸–10⁹ GeV range. The dark sector spectrum includes a massive dark photon (m_A' = g_dark v ≈ 387 MeV, sub-GeV, not yet excluded) and a dark Higgs at the pion scale. The extension class is finite and viable; unique branch selection within the window has not been achieved. 8/8 gauged tests pass. Additional mapped sectors include QCD confinement (threshold at 0.81 GeV, Wilson loop area-law confirmed), flavor hierarchy (Koide formula at 0.005%), coupling unification (f_self = 0.93), neutrino masses (near-zero fixed point, seesaw as threshold crossing), baryogenesis (3/3 Sakharov conditions structural), and neural gamma resonance (40 Hz from two independent routes: 39.9 Hz gravitational, 41.7 Hz network topology, 20/20 tests). The primary falsification test is the gravitational decoherence plateau — if no plateau is observed, Λ_grav is wrong, the USL constants lose their grounding, the cosmological formula loses its inputs, and the framework is falsified at its core. The structural mappings in other sectors are independently testable and do not logically depend on the plateau measurement. The document is explicit about what is not claimed: mechanism for subjective experience, observable GW/QNM modifications (dead at ~10⁻³⁹ rad), resolution of the Hubble tension, exact fermion masses, and "decoherence is undefined" in the Lindblad sense (only the constitutive driving term is zero at the fixed point). All computations are reproducible via the grut_solver package (github.com/ryangrvr/GRUT-RAI-v1.0). 183 passing tests. 13 sectors. One CTP action. Key Points: 1. A unified CTP response framework is derived from the Schwinger-Keldysh effective action, with the constitutive equation τ dz/dt + z = z_target[z] and noise kernel emerging as two outputs of one variational principle. The constitutive projection is exact in first-order sectors (QM, decoherence) and a heuristic effective projection in second-order sectors (gravity, cosmology) — the framework's sharpest predictions do not depend on the projection. 2. The Schrödinger equation is derived as the nonrelativistic limit of the CTP variation (exact, 12/12 tests). The gravitational decoherence rate Λ_grav = Gm²S(l/R)/(ℏl) comes from the noise kernel with zero free parameters (exact, 14/14 tests). The corrected benchmark uses a gold microsphere (R = 1 μm, m = 80.8 pg, 689 Hz). The full Lindblad master equation is documented and verified. 3. A 10-step derivation chain (7 computed, 3 structural) produces the vacuum expansion rate H∞ = 1.885 × 10⁻¹⁸ Hz as an absolute prediction independent of H₀. The structural steps constrain the formula uniquely but do not constitute a conventional derivation. The implied Ω_Λ is H₀-dependent (0.2% at H₀ = 70, 8.1% at Planck). The structural route uses scheme-protected anomaly coefficients, bypassing the cosmological constant problem. 4. The graviton propagator is massless, ghost-free, UV-improved (1/ω³), and recovers classical GR to 10⁻¹⁰ at LIGO frequencies. Black hole information is resolved through the constitutive memory kernel: the τ₀ branch achieves 99.94% information recovery with a Page-like turnover and non-thermal unitary radiation (5/5 QG closures). The T_Planck branch gives end-stage release only (4/5 + end-stage). 5. Dark matter is closed as a gauged extension class: U(1)dark fixes λ = g²_dark/2 via two routes (RG running: λ = 0.42, M = 2.1 × 10⁹ GeV; anomaly extraction: λ = 3.83, M = 2.3 × 10⁸ GeV). The dark sector spectrum includes a dark photon (~387 MeV) and dark Higgs at the pion scale. Both routes viable; unique branch selection remains open. 8/8 gauged tests pass. 6. τ_I = ℏ/2 is a normalization choice (selecting the Keldysh convention that recovers QM), not a physical axiom. This reduces the framework to two axioms (CTP doubling, directed response) plus one definition, with the mass-dependent conversion c₂ = ℏ²/(4m) providing sector-specific dimensional translation. 7. Six discriminating signatures distinguish the decoherence prediction from all tested alternatives (CSL, Diósi-Penrose point-mass, constant floor, power-law): pressure plateau, geometry dependence, entanglement protection, l-scaling, geometric kink at l = 1.8R, and mass-squared scaling. Heating rate (4.7 × 10⁻⁶⁸ W) is safe by over 60 orders; complete analysis not yet performed. 8. The self-referential fixed point z = z_target[z] organizes all sectoral limits as different expressions of the same CTP action: ground state (QM), gravitational plateau (decoherence), vacuum H∞ (cosmology), confining vacuum (QCD), broken vacuum (electroweak), and gamma resonance (neural). The threshold is not a separate postulate — it is the constitutive equation's approach to its own fixed point. 9. QCD confinement (0.81 GeV threshold, Wilson loop area-law), flavor hierarchy (Koide at 0.005%), coupling unification (f_self = 0.93), neutrino masses (near-zero fixed point, seesaw as threshold crossing), baryogenesis (3/3 Sakharov structura
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
GRUT Foundational ToE v4: A Unified Response Framework with Testable Gravitational Decoherence and Entanglement-Dependent Scaling GRUT (Grand Responsive Universe Theory) is a unified response framework in which physical laws emerge as structural limits of a universal directed-response system governed by a complex relaxation time and formulated within the closed-time-path (CTP) formalism. From three structural axioms — CTP doubling, directed response, and complex relaxation with τ_I = ℏ/2 — the framework recovers the structure of quantum mechanics, relativistic field theory, gauge interactions, the electroweak sector, and the Higgs mechanism with the same parameter count as the Standard Model. These recoveries establish consistency with known physics but are not the primary contribution; the value of the core formalism is structural, providing a unified derivation from which the novel prediction sector follows without additional assumptions. Beyond Standard Model equivalence, the gravitational self-interaction of the response field produces the Universal Scaling Law (USL): a zero-parameter gravitational decoherence law Λ = Gm²S(l/R)/(ℏl) that spans 120 orders of magnitude in decoherence rate. The extended-body geometry correction S(l/R), derived from the Diósi self-energy integral for uniform spheres, produces a characteristic geometric kink at l ≈ 1.8R where the near-field (Λ ∝ l²) and far-field (Λ ∝ 1/l) regimes meet — a structural fingerprint that no single smooth power-law model can reproduce. The point-mass approximation used in standard Diósi-Penrose models overestimates decoherence rates by up to 6,000× for experimentally relevant separations, making the extended-body correction a quantitative discriminant between GRUT and existing collapse models. The many-body extension of the Diósi functional reveals that anti-correlated entangled states are gravitationally protected: Bell states decohere approximately 17% more slowly than product states at 200 nm inter-particle spacing, and GHZ states show progressively stronger suppression (up to 72% for N = 20). Within the class of models tested, this entanglement dependence constitutes a three-way experimental discriminant — standard quantum mechanics predicts zero decoherence, CSL predicts equal rates for product and entangled states, and only the GRUT extended-body Diósi functional predicts state-dependent rates with the correct geometry scaling. Six independent experimental signatures are identified, no tested alternative model reproduces all six simultaneously, and zero free parameters appear in the gravitational decoherence sector. The framework includes a complete environmental channel budget (gas collision, blackbody, trap recoil, charge noise, vibrational coupling, readout backaction) for any experimental platform, identifying the binding constraint and crossover pressure where the gravitational signal becomes dominant. For a 10 pg nanodiamond at 100 nm separation, the gas-gravity crossover occurs at P* ≈ 4 × 10⁻⁹ Pa. Below this pressure, GRUT predicts a decoherence plateau at Λ ≈ 633 Hz while standard quantum mechanics predicts vanishing decoherence — a 406× difference in coherence time at 10⁻¹¹ Pa. This prediction is testable with levitated nanoparticle experiments within the next 5–15 years. All predictions are implemented in the grut_solver computational package with 24 verified tests and an adversarial self-attack (kill) framework that systematically tests whether alternative models can mimic the GRUT signature space. The framework is falsifiable by specific, near-term experiments. It either survives experiment or it doesn't. Key Insights: Zero free parameters in the gravitational decoherence sector — the USL is derived entirely from the CTP influence functional with no fitted constants The Universal Scaling Law Λ = Gm²S(l/R)/(ℏl) spans 120 orders of magnitude from single electrons (10⁻⁶⁰ Hz) to planetary bodies (10⁺⁶⁰ Hz) Extended-body geometry correction S(l/R) produces a characteristic kink at l ≈ 1.8R that distinguishes GRUT from all point-mass decoherence models Anti-correlated Bell states are gravitationally protected: ~17% slower decoherence than product states at d = 200 nm, providing a three-way discriminant between GRUT, standard QM, and CSL GHZ entangled states show progressively stronger protection with increasing particle number (up to 72% suppression at N = 20) Six independent experimental signatures identified; no tested alternative model reproduces all six simultaneously Complete environmental channel budget computed for any experimental platform, identifying the binding constraint at each pressure The pressure-independent decoherence plateau (Λ ≈ 633 Hz for a 10 pg particle) produces a 406× difference from standard QM at achievable vacuum pressures The gas-gravity crossover at P* ≈ 4 × 10⁻⁹ Pa is within reach of current levitated nanoparticle technology Known physics (Schrödinger, Dirac, gauge theory, electroweak, Higgs) recovered from three structural axioms with the same ~20 free parameters as the Standard Model Mass emerges as inverse spatial susceptibility: m = τ_I²/c₂ — a structural ratio, not a postulated quantity The τ_R instability is a structural proof that dissipation cannot be added to quantum mechanics without noise, motivating the CTP open-system completion The adversarial kill framework systematically tests each competitor model against all six signatures, with complementary failure modes ensuring no single alternative can mimic the full prediction space The quantum-classical boundary is a computed surface in (mass, separation, time) space: m* = √(ℏl/Gt), not a postulated threshold
See changelog below. The full derivations are provided in the attached paper. Every result is reproducible from the stated inputs. This paper derives the complete Standard Model, quantum mechanics, spacetime, and gravity — 85 quantitative results at sub-percent precision spanning 15 orders of magnitude — from a single postulate, four structural principles, and one measurement. The Standard Model has seventeen free parameters. General relativity has no quantum theory. The measurement problem has been open for a century. The cosmological constant is wrong by 120 orders of magnitude. The question of why there is something rather than nothing has no physical answer in any existing framework. Each of these failures shares a common omission: none ask where time comes from. This paper takes that question seriously. A single physical principle — information cannot be destroyed — is self-sealing: its own violation is incoherent. Its formal expression is Postulate I: each foreclosed quantum branch produces exactly one chronon — a massless spin-1 gauge boson of U(1)_T, the unique gauge group forced by the complex ray structure of the Hilbert space and the single scalar collapse charge. We call it the chronon. Time is not the background in which physics happens; it is generated by physics, irreversibly, at every collapse. These requirements yield a single Lagrangian, ℒ_QT, that extends the Standard Model by one massless spin-1 field and one coupling constant. From this — combined with one measurement, Newton’s gravitational constant G — we derive: all of quantum mechanics via the Piron–Soler–Gleason chain (not assumed); the complete Standard Model with all dimensionless parameters determined; the complete resolution of the measurement problem, including the environmental decoherence cascade; and 85 quantitative physical results spanning fifteen orders of magnitude in energy. Three spatial dimensions follow from the channel-matching principle (D = N_c) and the Weinberg angle consistency condition (N_c = 3). The Big Bang was not initiated — it was mandatory. The numerical precision is sharp. The worst result where the theoretical prediction exceeds experimental precision is 0.5%. For the majority of results, the framework’s prediction is already more precise than the measurement. The proton-to-electron mass ratio m_p/m_e = 2N_cπ⁵(1 + α²/√(N_c²−1)) agrees to sub-ppb precision. The proton charge radius matches muonic hydrogen to five significant figures. The Higgs boson mass to 0.002% via the full cascade derivation (0.25% from the explicit formula). The W boson mass to 0.001%. The fine structure constant to 0.026% (1/α = 137 exactly at tree level). The cosmological constant — wrong by 120 orders of magnitude in standard QFT — is derived to 0.03%. The Hubble tension, a 5σ discrepancy unresolved in standard cosmology, follows from the same structure: H₀_local = H₀ × 13/12 = 73.0 km/s/Mpc (0.05%). All four PMNS neutrino mixing parameters, previously unexplained, are derived to sub-0.5%. Sub-percent agreement spans from neutrino mass splittings at ~9 meV to the CMB temperature at 2.725 K — fifteen orders of magnitude from a single dimensionful input. The framework makes ten falsifiable predictions currently under test: an electron electric dipole moment of exactly zero (ACME III is live); a spin-1 gravitational wave breathing mode at ~9% of the + polarisation amplitude (testable with LIGO O4/O5 data); no dark matter particle in any direct-detection experiment; no graviton — gravity is geometric drift in a proper-time gradient sourced by the energy-momentum tensor, not exchange of a spin-2 particle; there is nothing to detect. A confirmed non-zero electron EDM or a detected graviton falsifies the framework immediately. The logical order, from bottom to top: information cannot be destroyed → P-I (one chronon per foreclosed branch) → proposition lattice with axioms P0–P4 → Piron–Soler–Gleason chain → complex Hilbert space → ray phase redundancy → single scalar collapse charge → U(1)_T gauge field with Maxwell dynamics → channel-matching principle gives D = N_c → Weinberg angle selects N_c = 3 → D = 3 → adding G through the Planck cascade gives λ_conf = 0.40092 fm → the complete Standard Model follows. Spacetime, quantum mechanics, and the Standard Model are not independent inputs — they follow as consequences of P-I, the structural principles, and one observational consistency condition. ______________________________________________________________________________________________________ v86 Changelog (April 7–8 2026) — All numerical results unchanged from v85. No formulas modified. Foundational structure and derivation justifications rebuilt following adversarial review by two independent AI systems (Claude, GPT-4o). Foundational hardening: §2.2: Formal axiom framework P0–P4 added. Piron lattice conditions now follow as a theorem given five named structural axioms, not as informal physical arguments. P-I motivates four directly; P0 (admissibility closure) is a structural axiom on the proposition space. §2.5: ℝ exclusion replaced. Old iε propagator argument replaced with operational compositionality / local tomography argument requiring no field-theoretic machinery. §3.1: Gauge derivation rebuilt from complex ray structure forward. U(1)_T now derived from phase redundancy + single scalar collapse charge + rank-1 compact Lie group + label-free emission. Removes prior dependence on Noether's theorem invocation and energy minimization principle. §8.1.1: Channel-matching theorem added. D = N_c derived from information-balance between spatial export channels and internal confinement channels via mismatch functional. Replaces prior mutual-reinforcement argument. §1.5.1: Epistemic taxonomy added classifying all 85 results into three tiers: theorem-level (Piron, Soler, Gleason), physical-argument (gauge structure, mass formulas), and observational-consistency (N_c = 3 from Weinberg angle, cascade from G). §12: New section — Structural Analysis. Result classification (5 epistemic tiers, ~12 independent core results, compression ratio 85:19), axiom necessity (what breaks without each of P0–P4 and D1–D4), and ablation tests (N_c = 2, N_c = 4, drop P4, change coupling exponent, allow D ≠ N_c — every perturbation destroys the majority of results). Framework premise expanded from "one postulate" to "one postulate, four structural principles, and one measurement." Front matter aligned with body throughout. One derivation story, no internal contradictions. Derivation upgrades: Proton-to-electron mass ratio (§9.3): Replaced "2 spin states × N_c colours" with rigorous hyperspherical decomposition. S³ forced by massless emission in (3+1)D; S⁵ forced by K=0 ground state of 3-quark system in 6D relative coordinates. Neutral pion mass (§9.9.1): Factor 5 now derived as 2N_c − 1. Denominator 2π identified as one-loop coefficient of U(1)_T vector gauge coupling. Neutron-proton mass difference (§9.3.2): Replaced "circular loop + straight line" with flux tube arm derivation. π from SU(2) isospin rotation; +1 from chromoelectric flux tube arm to Y-junction. CP phase δ (§9.8.2): Replaced "axial-to-spherical flux ratio" with V−A vertex structure. The ratio 4/π is universal across all generation spaces because any unitary rotation lies on a great circle of S². W boson mass corrections (§9.5.1): Both NLO terms fully derived. Direct vertex α_s/(8π): C_F cancelled by non-relativistic reduction. Exchange α_s/(12π²): two vertices × Dirac-to-colour projection ratio. Charm mass (§9.13.4): Factor 4/π identified as axial-to-vector coupling ratio through V−A weak vertex. Systematic correction — QCD dressing factor: The coefficient 1/(2π) appearing in ~10 results was previously attributed to "hemisphere projection geometry." Replaced throughout: mass in the chronon framework is a U(1)_T vector gauge coupling, not a scalar Yukawa coupling. The factor 1/2 confirmed by two independent routes: (i) Dirac algebra (γ^α γ^μ γ_α = −2γ^μ vs scalar = 4); (ii) C_F cancellation by non-relativistic reduction. Label correction: CKM geometric factor (§9.8.1): "four-dimensional solid angle" corrected to "three-dimensional solid angle S² = 4π." Numbers unchanged. ______________________________________________________________________________________________________ v85 Changelog (April 6 2026) — Electroweak corrections, |V_cb| prediction, consistency audit Four physics improvements and a comprehensive numerical audit, all from first principles with zero free parameters. Top quark mass (0.41% → 0.06%): The electroweak self-energy correction factor changed from (N_c+1) to (N_c−1). The factor (N_c−1) = 2 counts the charged weak boson states (W⁺, W⁻) mediating the t→b→t self-energy loop — the SU(2)_L charge-raising/lowering generators. m_t = 172,803 MeV vs observed 172,700 MeV. CKM θ₂₃ / |V_cb| prediction (1.3% → 0.3%): The framework predicts |V_cb| = 42.1 × 10⁻³, essentially identical to the PDG inclusive determination (42.2 ± 0.5) × 10⁻³ and inconsistent with the exclusive determination (39.8 ± 0.6) × 10⁻³. The inclusive/exclusive |V_cb| tension is one of the open questions in flavour physics; the framework picks a side. Falsifiable prediction. Baryon asymmetry η (0.5% → <0.1%): The sphaleron efficiency κ correction changed from α_s/(2π²) to α/(2π). The sphaleron is an SU(2)_L electroweak process; its one-loop vertex correction uses the QED coupling α/(2π), not the QCD coupling. Neutrino mass splitting Δm²₂₃ (0.3% → 0.08%): QED vacuum polarization correction −α/(2π) added to G₃ alongside the existing QCD correction +α_s/π. Sign pattern (QCD adds, QED subtracts) matches the W boson mass derivation. Numerical audit (22 corrections): Full line-by-line verification of every formula, table entry, agreement claim, and cross-reference. Corrections include: D/H value (2.62→2.58 × 10⁻⁵, 1.3σ→1.8σ — stale from pre-κ η); He-4 agreement (0.5σ→0.7σ); z_
This guide provides a structured pedagogical overview of the OT–GKSL framework, its physical motivation, its main mathematical layers, and the logic connecting the native open-quantum domain to certified classical readout sectors. It is intended as an entry point to the programme rather than as a replacement for the technical manuscripts, where the full hypotheses, proofs, residual estimates, and branch-specific constructions are developed. 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 the horizon information problem through certified-domain correlation layering 4. Cosmological Dynamics & Global Readout Constraints: Vacuum-like Residual Energy from Constitutive-Holonomic Balance in a Minimal Reduced OT-C3 Sector | Effective potentials ; Coleman-Weinberg ; Sakharov induced gravity ; vacuum energy problem // Demonstrates analytically that the macroscopic cosmological constant emerges as a non-zero vacuum-like residual energy resulting from the exact balance between scalar constitutive dissipation (source sector) and the non-commutative holonomic barrier of the Optimal Transport geometry. Homogeneous Closed Readout Dynamics under Finite Spacetime Budget | FLRW cosmology ; effective dark energy ; backreaction ; EFT of dark energy// Constructs a homogeneous and isotropic model (G-FLRW) demonstrating how the spacetime budget acts as a branch-selection mechanism, effectively identifying the vacuum-like sector (Λ) as the maintenance cost of certified spacetime solvability. 5. Experimental Protocols and Testability: Testing Source-Side State Dependence in Gravity with Lock-In Atom Interferometry | Kasevich–Chu ; Peters–Chung–Chu ; Rosi–Tino ; atom gravimetry // Proposes a concrete experimental protocol to falsify source-only emergent gravity at low energy. A Lock-in Atom-Interferometric Test (Clock) | Detailed operational implementation of the low-energy readout test for the Einstein-locked framework. Experimental Separation of Readout and Causal-Local Correlation Layers in the Einstein-Locked OT/GKSL Framework //Circuit QED / transmons ; readout fidelity ; mutual information ; quantum verification // Proposes a falsifiable experimental protocol (CLCP) to test the layered structure of correlation observables by separating certified readout and causal-local licensing thresholds on a controllable quantum platform . Repulsive Gravitationnel Force, Quantum Readout, and the Quantum Nature of Gravity: An OT–GKSL Perspective on the Oxford and Ares Experiments Branch-resolved Einstein-locked OT–GKSL route to the Hubble tension: minimal background model, cleaned selection scan, and first viability window ΛCDM/CAMB/Cobaya ; Planck likelihoods ; effective dark energy / early dark energy literature Fixed-Dimension σ8 Suppression with Growth-Informed Likelihood Gains in a Low-Energy GKSL–Optimal-Transport Quantum–Classical Gravity Interface Stress-Tested against Planck, BAO, Supernova, KiDS-S8 and DESI DR2 6. Mass Generation: Mass Generation and Vacuum-Like Residual Sourcing Theorem in the Einstein-Locked Optimal-Transport/GKSL Framework | This paper establishes a theorem-oriented source-side mechanism for mass generation and vacuum-like residual sourcing within the Einstein-locked OT/GKSL framework for open quantum sources A Theorem on a CDM-Like Intermediate Branch in the Einstein-Locked OT/GKSL Framework | This paper establishes a theorem-level result within the Einstein-locked OT/GKSL framework: cold-dark-matter-like behavior can arise internally as a stable intermediate branch of the reduced constitutive--holonomic source-side sector, without introducing a new primitive dark particle and without modifying the Einstein--Hilbert kinetic block. 7. Dirac Electron Dynamics: Optimal-transport + GKSL: Certified Recovery of Dirac Electron Dynamics in Central Abelian Potentials from the Einstein-Locked Optimal-Transport-GKSL Framework | Dirac equation ; Foldy–Wouthuysen ; gauge-covariant derivatives ; central potentials // This paper establishes a certified recovery of standard relativistic electron dynamics from the fermionic gauge-enriched sector of the Einstein-locked Optimal Transport OT/GKSL framework. The paper identifies and constructs a certified fermionic readout regime in which the Einstein-locked OT/GKSL framework recovers standard Abelian Dirac dynamics in mathematically controlled form. 8. OT-GKSL: Technical papers, companion papers, and supplementary materials: Physical Selection of a 3+1-Dimensional Classical Spacetime: Information, Dissipation, Matter Stability, and Geometric Closure in OT–GKSL Einstein–Readout Compatibility as a Certified Closure Criterion in the Einstein-Locked OT/GKSL Framework Technical Consolidation of Certified OT/GKSL Readout: Record Selection, Bridge Defects, OT Proxies, and Re
The Problem of Time — the apparent incompatibility between quantum mechanics' time parameter t and general relativity's proper time τ — has been treated as a fundamental obstacle to quantum gravity. I argue that this is a level-confusion: both theories define time within their own entity-theoretic frameworks, generating an apparent opposition that disappears when time is relocated to a meta-structural layer. Drawing on the meta-level temporal structure T_SDT := (V_G, ≺) (Zeng 2026), the paper formalizes QM and GR time as two projections of a single Universal Time Formula, parameterized by entity-theoretic tokens. Four token specializations recover the corresponding time concepts. A Bridge Theorem establishes mutual compatibility of all token projections. A bidirectional QM-GR channel is constructed (forward: GR geometry → QM phase; reverse: discrete chain-pair → Lorentzian spacetime), composing into a self-consistent closed loop. Three further results move beyond dissolution toward unification. First, a Madelung-bridge construction derives the Schrödinger equation — Hilbert space, unitarity, Hamiltonian, quantum potential, Born rule — from the determination-graph axioms together with the continuum embedding (CL1), with no independent QM input; the derivation extends to Klein-Gordon. Second, a Planck-scale token μ = t_P / |A_{v'}| is constructed on the discrete 𝒢_D, where |A_{v'}| is the admissibility cardinality; under CL1, this single step-measure recovers QM (|A| ≫ 1) and GR (|A| = 1) as its two continuum limits, with Einstein's equation proved in the classical regime (|A| = 1) via a two-stage argument (Benincasa-Dowker action convergence + standard scalar-tensor variation). The exact quantum-gravitational correction is derived as a scalar-tensor equation with φ = 1/|A|. Third, the discrete determination graph without continuum embedding constitutes a self-contained Planck-scale quantum gravity theory: it has a well-defined path integral, a finite-dimensional S-matrix (unitary in the κ = 0 sector, isometric in the κ > 0 sector; no UV divergences), preserves information across black hole horizons, resolves singularities, derives the Past Hypothesis, and provides structural origins for gauge symmetry, Hawking radiation, spectral dimensionality, and the spin-statistics connection. The Problem of Time is not merely dissolved — it is replaced by a constructive framework in which QM and GR are unified as two limits of a single discrete structure.
Phase II of the Grand Responsive Universe Theory (GRUT) extends the Phase I Closure Protocol into the quantum bridge and strong-field collapse sectors. Phase I established the weak-field Closure Protocol: a causal, screened, finite-bandwidth metric response framework with two canonical constants (tau_0 approximately 41.9 Myr, alpha_vac = 1/3) and a Numerical Integrity Standard (NIS) reproducibility discipline. In the quantum bridge sector, the elastic response Re[chi(omega)] of the Phase I susceptibility yields the gravitationally induced decoherence master equation t_dec = (hbar * ell * tau_0^2)^(1/3) / (alpha_vac * G)^(1/3) x m^(-2/3) (EQ-QUANTUM-001), derived from first principles using only Phase I constants. The m^(-2/3) scaling law provides a three-slope falsifier distinguishing GRUT from the Diosi-Penrose prediction (m^(-2)) and the metric noise bath alternative (m^(-1)). In the strong-field collapse sector, Tier 0 local-tau closure resolves the frozen-collapse pathology introduced by importing the cosmological tau_0 directly into the collapse solver. An earlier finite-radius endpoint is shown to be an L_stiff x V_tol numerical artifact and is formally rejected. The active phenomenological endpoint operator OP_QPRESS_001 is introduced as the first candidate that survives the full anti-artifact acceptance suite (eight tests). The stable finite-radius endpoint is established in barrier-engaged runs under that suite. The Vacuum Saturation Radius r_sat is thereby promoted to candidate status. Phase II does not derive the parameters epsilon_Q and beta_Q from first principles. Information archive, global unitarity, the Whole Hole interpretation, and exterior observational consequences remain active research targets and constitute the Phase III frontier. Companion GRUT Responsive AI Link: https://zenodo.org/records/18917724