Five physics closures and three outside-box probes. Frozen semantic certificate: d16f8ab7ce51f2953cfd4866e7a716e31a271b3337a05b6105b367736bcecb6d.
Six independent (3⊗3̄)^⊗3 contraction singlets support a rank-two Wilczek–Zee bundle. Two exact loops have group-commutator trace −1/4, proving a genuinely matrix-valued gauge-singlet holonomy rather than a center phase.
A nine-cell, 38-dimensional Nambu chain is paraunitary to 1.1×10⁻¹⁵. At ω=0.3 the greybody ratio is 0.485736, partner width is 1.19774 cells, and outgoing/partner logarithmic negativity is 0.208535. Two inside-flow lattice roots have opposite group velocities, exposing the UV partner branch.
Four local Markov channels derive ds=γ(ln80−4s)dt+√(2D)dW. The stationary mean is ln80/4, the relaxation gap is 4γ, and the deterministic spectral dimension is exactly 4.
A 25-state engineered clock autonomously executes 24 local conditional SWAPs. Endpoint transfer at π/(2Ω) is exact to 6.7×10⁻¹⁶ and applies Ushift³=I; the complete history revives at π/Ω.
For N independent cells, RN=R1/N. The sign crossing stays at βU=14.5791667571 while its amplitude vanishes. A positive 1D transfer matrix remains analytic, so this class has no finite-temperature critical point.
Changing only loop order UyUz versus UzUy gives output fidelity 7/16, visibility √7/4 and state distance 3/2.
Levi edge connectivity four and the two-qutrit entropy bound give at most 8 ln3 nats per cut layer. Eighty dark-reservoir cells require at least 74 layers to establish their full cross-cut entropy.
A spin-one QWZ control Hamiltonian on three singlet channels has Chern bands (−2,0,2) with unit minimum gap, realizing a synthetic charge-two control defect.
Evidence boundary. These are finite deterministic group, Gaussian, Markov, clock, transfer-matrix, circuit and band-topology results. They do not establish continuum QCD, observed Hawking radiation, physical spacetime, a thermodynamic phase transition, anyons, a physical monopole, gravity, cosmology or a theory of everything.