GRUT Theory of Everything Candidate Framework

GRUT Theory of Everything Candidate Framework

GRUT (Grand Responsive Universe Theory) is a candidate Theory of Everything built on one premise: the gravitational vacuum is a viscoelastic medium with finite relaxation time τ₀ = 41.9 Myr and finite impedance α = 1/3. A single closed-time-path (Schwinger-Keldysh) effective action S_CTP produces a constitutive response equation whose sectoral limits yield quantum mechanics, general relativity, gravitational decoherence, dark matter, dark energy, baryogenesis, and the observer's classical definiteness — all from the same parent action evaluated at different scales. Four constants (τ₀, α, S = 108π, R = √(4/3) ≈ 1.15470) govern phenomena across roughly sixty orders of magnitude in frequency without running with energy or epoch. "Zero free parameters" throughout means: zero adjustable parameters given the α = 1/3 postulate and the τ₀ cosmic-baseline anchoring — these two inputs are named, audited, and traceable, not fitted to downstream predictions. The framework is presented for adversity testing and module-by-module specialist review. It is not presented as an established theory.

The document is structured as a 14-chapter book with six appendices, covering the foundational picture (Part I: Chapters 1-4), recovered physics and the predictive backbone (Part II: Chapters 5-11), and the research frontier (Part III: Chapters 12-14 — SM Closure Program, cosmic history, and the complete falsification ledger). The framework has rigorous claim governance: 103 registered claims across six tiers (58 computed, 15 anchored, 3 conjectural, 15 open negative, 2 foundational, 10 meta), each traceable to the GRUT-RAI codebase (DOI: 10.5281/zenodo.18993689) with 1655 passing tests. Every claim carries a tier label, a verification path, and a registry ID. Every correction — 23 to date — is documented with full audit transparency. The v8→v2 cycle (May 2026) closed three previously-blocking open negatives: the constitutive projection Φ_μν is now derived from δS_CTP/δh_a at linearized level with explicit FRW extension; the n_g(ω) cosmological covariance is closed via the MG-EFT-of-dark-energy mapping (μ_GRUT = n_g², γ_GRUT = 1); and T_c provenance is resolved through the two-τ-scale convention distinguishing τ₀ (gravitational, 41.9 Myr) from τ_micro (thermal, ~10⁻¹⁹ s).

The framework surfaces near-term falsifiers within reach of current or next-generation experiments. The primary falsifier is the gravitational decoherence plateau at ~689 Hz at the gold benchmark (m = 80.8 pg, l = 1 μm), predicted with zero free parameters and six joint scaling laws that no tested alternative model (CSL, Diósi-Penrose, Adler, GRW) reproduces simultaneously. A GRUT-vs-CSL isotope-pair discriminator (³⁰Si/²⁸Si at 3.8% measurement precision) distinguishes GRUT's m² mass scaling from CSL's linear nucleon-count scaling — within reach of MAQRO-class matter-wave interferometry. Cluster-merger gas-to-lensing offsets follow δ ∝ v × τ₀ with a 1.72% internal scaling residual across four systems. The structural relation H₀√Ω_Λ = 58.16 km/s/Mpc provides a calibration-independent cross-survey test for DESI, Euclid, and Roman. Two new falsifiers from v2: the modified-gravity parameter μ − 1 = 1/3 on horizon scales (testable by DESI Y3+ at ~5σ, Euclid 2027 definitively — GRUT uniquely predicts γ = 1, distinguishing it from Brans-Dicke, f(R), and DGP); and Σm_ν ≈ 60 meV with Normal Hierarchy preferred (testable by KATRIN, JUNO, and Euclid lensing).

The cosmological predictions include Ω_Λ ≈ 0.69 within 0.2% of Planck (computed, zero free parameters), H₀ ≈ 68.8 km/s/Mpc from the cosmic-baseline route (zero parameters) or 69.03 km/s/Mpc from Friedmann integration (one parameter — observed cosmic age), both in the Hubble tension gap. The dark matter density Ω_dm = α = 1/3 is derived geometrically from the vacuum's bandwidth integral, giving a gravitational enhancement of order ~30%, consistent with observed phenomenology. Baryogenesis gives η_B = 6.57 × 10⁻¹⁰, within 8% of observed. The MOND acceleration scale a₀ ≈ 1.2 × 10⁻¹⁰ m/s² emerges naturally. Eight independent solar-system GR tests confirm safety factors from 10⁵ (Saturn ranging) to 10³⁵ (LIGO GW170817). The v2 modified-growth integration confirms σ_8-scale modification at only 0.09% — GRUT does not break the existing S_8 tension — while predicting significant enhancement on large scales (8.5% at BAO, 33% at Sloan, ~135% at CMB horizon).

The framework dissolves the measurement problem through the Schrödinger-in-the-Box inversion: the observer's own Λ_grav computes their classical definiteness from the same equation that predicts the decoherence plateau and the dark matter density, with zero free parameters and no interpretive stance required. A 70 kg human at 1 meter separation has Λ_grav × τ₀ ~ 10³⁵ — so deep in the crystal regime that quantum superposition is suppressed by a factor of 10⁻³⁵. GRUT is the only framework where this dissolution is quantitative rather than philosophical.

The framework is explicit about what is NOT yet derived: the nonlinear gravity ladder is 4/8 rungs complete; the curved-background Φ_μν extension is scaffolded but not fully explicit beyond FRW; the primordial scalar amplitude A_s is rescaling-conditional (factor 3.88 from observed under cosmic-baseline rescaling); first-order constitutive perturbation growth fails (D = 1.0 vs required ~3375, requiring second-order extension); the Standard Model is hosted as S_classical, not derived (Yukawa matrices, CKM/PMNS mixing, and Higgs potential remain open — though neutrino hierarchy is now structurally predicted as NH with Σm_ν ≈ 60 meV via a derived a_ν = 1 uniqueness theorem). Chapter 14 contains the complete open-question ledger with closure conditions for each of the 15 open negatives. The Genesis-BBN-DM narrative was tested and two of four claims closed negative (noise kernel spectrum is Lorentzian not thermal; BBN thermal buffer is 10 orders of magnitude too weak).

This deposit asks the community for adversity testing, module-by-module specialist review, replication of the codebase computations, and engagement with the specific falsifiers and closure conditions documented in Chapter 14 and the companion falsifier paper (GRUT_FALSIFIER_PAPER.md). The framework's posture is that of a candidate research program with discipline infrastructure that makes its gaps visible rather than concealed. Not more rigorous than other ToE programs — but more adversarial, with six predictions falsifiable on 1-10 year timescales by named experiments.

12 Key Points

1. One action, one medium, one equation. A single CTP (Schwinger-Keldysh) effective action S_CTP produces a constitutive response equation τ₀ dz/dt + z = z_target[z] + ξ(t) whose sectoral limits yield QM, GR, gravitational decoherence, dark matter, dark energy, baryogenesis, and the observer's classical definiteness.

2. Four constants across sixty orders of magnitude. τ₀ = 41.9 Myr, α = 1/3, S = 108π, R = √(4/3) — unchanged from Planck UV to Hubble expansion. "Zero free parameters" means zero adjustable parameters given these named, audited inputs.

3. Decoherence plateau at 689 Hz. The primary falsifier: zero-parameter gravitational decoherence rate at the gold benchmark, with six joint scaling laws no tested alternative model reproduces simultaneously.

4. Cosmological constant within 0.2% of Planck. Ω_Λ ≈ 0.69, derived as the terminal velocity of a damped conformal instability — not a fitted parameter, not a landscape selection, but the steady-state rate when topological pressure meets viscoelastic resistance.

5. Hubble rate in the tension gap from two independent routes. H₀ ≈ 68.8 km/s/Mpc (cosmic-baseline, zero parameters) and 69.03 km/s/Mpc (Friedmann integration, one parameter), agreeing at 0.3%.

6. Dark matter as vacuum refractive enhancement. Ω_dm = α = 1/3 from the bandwidth integral — no new particles required. Gravitational enhancement of order ~30%, consistent with observed phenomenology. Modified-gravity6. parameter μ − 1 = 1/3 on horizon scales, with γ = 1 (no gravitational slip) — testable by DESI Y3+ and Euclid.

7. Cluster-merger scaling at 1.72% functional-form residual. Gas-to-lensing offset δ ∝ v × τ₀ across four merging clusters (Bullet, MACS J0025, Abell 520, El Gordo), with the +20% systematic characterized as two-parameter degenerate and the disambiguator named.

8. Measurement problem dissolved quantitatively. Schrödinger-in-the-Box: the observer's own Λ_grav computes their classical definiteness — the only framework where the quantum-classical boundary is a zero-parameter prediction rather than a free parameter or interpretive stance.

9. Neutrino hierarchy predicted: NH with Σm_ν ≈ 60 meV. The Z₃ Koide circulant structure with a derived a_ν = 1 (boundary-degenerate uniqueness theorem) selects Normal Hierarchy with m_1 ≈ 0.8 meV. Testable by KATRIN, JUNO, and Euclid lensing. Inverted Hierarchy is boundary-degenerate (fine-tuned) and structurally disfavored.

10. 103 registered claims with rigorous tier discipline. 58 computed (backed by 1655 passing tests), 15 anchored, 15 open negatives with closure conditions and effort estimates. Three previously-blocking open negatives RESOLVED in the v8→v2 cycle (Φ_μν derivation, n_g(ω) covariance, T_c provenance).

11. 23 documented corrections with full audit transparency. Two foundational provenance audits (α and τ₀), the El Gordo overclaim reclassification, the perturbation growth failure, the Genesis-BBN-DM narrative falsification, plus nine v8→v2 corrections (#22-#30) including Φ_μν derivation, MG-EFT mapping, and neutrino hierarchy — all surfaced, corrected, and documented rather than concealed.

12. Candidate, not completed. The framework names the remaining research packages required for scientific establishment: nonlinear quantum gravity beyond rung 4 of 8, Standard Model closure (Yukawas, CKM, Higgs potential), first-order perturbation growth failure (D = 1.0, requiring second-order extension), and curved-background Φ_μν beyond the FRW scaffold. The discipline pattern is structured around making these gaps visible. Six near-term falsifiers are documented in the companion adversarial-roster paper.