Results.

The vacuum's energy E₀ = ½Tr√K is concave in its couplings (Löwner). A classical vacuum cannot price anything — only state geometry can. Verified to 4×10⁻⁹.

In flux-conservation media with positive quadratic cost, attraction and a linear long-range clock response exclude each other. Read forward: the conserved sector cannot be gravity. Read again (rescoped — the gauge-invariance identification was retracted, audit §49): the conserved sector's clock-invisibility is why it must be the EM-class sector — and under P3″ the dichotomy is the structural reason the two sectors carry independent ledgers: the theorem was the split introducing itself. Scope per audit §20: the 1D witness is strong (3×10⁻¹⁵); the d>1 tidal suppression is unverified (its gate was void), and the sign statement needs a monotonicity condition Bochner alone does not supply.

Gradient-coupled monitors give classical drift rates that see only ∇²Φ — tides, never the potential. Exact (0.00%). The proof that redshift needed ħ.

Within the model family: every positive-frequency (thermal) bath induces repulsion; attraction requires an inverted monitored sector — an active vacuum. The sign of gravity is owned by non-equilibrium.

The Gauss-sector zero mode is exact at every regulator (10⁻³², toy) — scoped by audit §51: this is a static kernel statement (W's quadratic zero at the staggered point); photon mass is a property of a dynamical transverse propagator's pole, which does not exist in the model, so the m_γ bound cannot be applied to it and the word "photon" is unearned: no vector field, no transverse polarizations, no Maxwell dynamics, no relativistic coupling exist in the model. The theorem is about the mode; the name is a reading.

Consumption is non-negative, so a pattern's parity imbalance cannot exceed its total — the triangle inequality (audit §54: the electron's saturation is calibration, it defines the unit). Registered challenge to the audit's "bookkeeping only" verdict: once calibrated on one particle, the bound on every other species is a real constraint (a charge-e particle lighter than the electron is forbidden) — conditional on the consumption bookkeeping mapping linearly to (q, m), which is the conjecture.

Coulomb at 3×10⁻⁶ (1D); infrared dispersion quadratic at 0.24% / 0.36% (2D/3D, pre-registered gates); continuum couplings S_∞ = 202.588 / 493.83 (1/L² fits, 4–5 digits); the neutral-composite residual at r⁻³·⁵, parity-oscillating.

Zero rest decoherence through 18 orders of magnitude; the motion-gated Lorentzian — honest per the trunk audit: it is the single-pole monitor class's transfer function; n48's registered gates failed as written (calibration, recorded) and its 0.3% is a flagged post-hoc comparison; the n128 mediator holds it to 11% at the knee; and the noise question now computed at full-matrix level under a frozen gate (n183): the complete symmetrized matter-coupled noise matrix is even in Δ (branch-identical to machine precision in every quadrature) while the coherent response is odd — the pairing is prediction 33, with the parameter-free curve J/(g²/κ) = −2x/(1+x²). Stability recomputed with no regulator (n74's flaw repaired): zero unstable modes, conserved pair classified, margin −1.3×10⁻³. Scope (reviewer's corrections adopted): the computed Δ-flip is a rotating-frame reversal, not a constructed inverted reservoir — the pump is unmodeled; the device-class and Caves-exemption labels await the quadrature-gain computation; the LPF confrontation returned NO PHYSICAL VERDICT — the SI normalization is underived and was not set to one.

Attraction + GR sign pairing + linear universal redshift, together in the active branch; the redshift residual shrinks as 1/N (2.32% → 0.19%, N = 12 → 96): converging to exact. Inertia = the gap-weighted information metric, scaling k⁻⁵ᐟ² verified to 9×10⁻⁷ and independently re-derived under hostile review.

Flipping the vacuum's branch changes its stored energy by exactly the interaction energy released: |ΔH| = |ΔU| to four digits — antigravity cycles net identically zero; the sign's energy books close.

Four results in one night, gates pre-declared: charge quantization from compactness — U(1) phases make winding integer by single-valuedness; the charge ladder E ∝ N² with compact softening; a capacity law (a handle holds as many quanta as its tube is long); α⁻¹ bracketed in [78.6, 157.2] by the layer's natural normalizations, with 137.036 inside — the point deliberately not picked. The area law certified — the ledger's entanglement entropy is linear in the boundary at r² = 1.000000, volume share ≤ 0.12%: the Bekenstein–Hawking shape is bookkeeping here. The CPS filter — a value-reading monitor boils the infrared (heating ∝ k⁰); the audit's violation-reading is an IR multipole filter (∝ k², protection unbounded as k → 0): why an emergent Lorentz can survive its own vacuum monitor, at Gaussian level. And the convergence: Nordtvedt, Mercury, and CPS — three unrelated gates — all select the derivative coupling. The theory is not tuned; it is cornered. The night report →

β = ½ exact in the linear theory (F² response zero to machine). The layer's form is derived, not chosen: the cubic vertex has an IR-divergent far-field charge (headstone 29, n112) and only the derivative coupling survives — under which η_N = 0 is an exact discrete identity (k_self = k_cross = 2.000000000000: binding energy sources gravity exactly like rest mass, every composition, structure, separation, box). On the surviving layer, the audit's verdicts now govern (§§25–27): the ξ calibration is voided (uncontrolled expansion, no stable nonlinear branch), and the Λ-sign chain is vacuous — ΔP ∝ ξ² is positive for either sign of ξ, so Mercury contributes nothing to it. What survives: the IBP identity (exact) and the positive regulated auxiliary-power correction (finite limit verified by the auditor).

Its price is quantum (concavity), its clocks are quantum (ω = E/ħ), its currency is quantum (V = ħγC). "Quantum gravity" is a pleonasm; the classical world inherits only tides.

Force-EP may break in principle; clock-EP structurally cannot (the rate sector is sign-rigid). Any future EP violation will be an acceleration anomaly, never a clock anomaly.

Matter = non-negative consumption (hence |q| ≤ m); radiation = signed oscillation (hence energy without mass or charge). The photon's exemption is structural.

M_Pl = m_anchor·√(Q/α) — verified. The Planck length is not the lattice spacing: two UV scales, different origins, against a near-universal assumption of quantum gravity.

Three replacement attempts die against Tully–Fisher, the Bullet cluster and the third acoustic peak; dark matter must be real, parity-neutral matter — and therefore necessarily self-interacting through the measured residual: SIDM (core–cusp) as structure, not tuning.

Q — the vacuum's quality factor. Measured knee ⇒ hierarchy becomes an output. (The mass-scale half remains open, said plainly.)

From the measured conformal weight (everything ∝ k⁻²): a uniform substrate drift moves α and leaves μ = m_p/m_e frozen — d ln μ/d ln α = 0, where GUT frameworks predict ~40. One future drift detection separates the families.