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: its clock-invisibility is electromagnetic gauge invariance — the theorem was the sector introducing itself. 1D witness: 3×10⁻¹⁵.

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 measured): the audited sector's collective mode is massless by conservation law — the m_γ < 10⁻¹⁸ eV bound passed structurally, converting "light is the Gauss mode" into a requirement.

Consumption is non-negative, so a pattern's parity imbalance cannot exceed its total: |q| ≤ m in substrate units. No massless charged particle can exist; the electron, saturating the bound, is the extremal dressing.

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 exact at 0.3% at every point; zero excess noise in the active branch (the Caves attack died on a measured zero).

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.

β = ½ exact in the linear theory (F² response zero to machine); the perihelion demands a stiffening anharmonicity (ξ > 0, geometry-robust); the pump bill ΔP = +232·ξ² — positive, even in ξ, branch-independent, by exact second-order perturbation theory around the measured Gaussian zero.

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.