Adaptive geometry,
virtual topology.

Passes 3829–3836 turn W33 from a permanently fabricated graph into a selectable control mode, virtual interaction schedule, autonomous symmetry target, and self-checking digital twin.

36.58

Declared adaptive MDP score versus 66.36 for the best static mode.

12 rounds

Minimum complete virtual W33 epoch: twenty heralded edge tokens per perfect-matching round.

2⁻²⁰

Symmetry-breaking suppression after twenty ideal half-contraction reservoir steps.

0.795922

Exact edge-reliability crossover between W33 redundancy and shorter two-route wiring.

rank 4

Every single edge insertion or deletion has a localized SRG-checksum residual.

89 jumps

One-percent spectral mixing bound for the transvection symmetry bath.

Hypervisor modes

observed regime	selected mode
clean	local ring
diagonal drift	forty-cycle Floquet averaging
burst loss	W33 four-route redundancy
crosstalk	Fourier spectroscopy or direct 29-port control

Virtual topology theorem

The 240 W33 edges are partitioned into twelve perfect matchings. Degree twelve proves that fewer than twelve one-port interaction rounds are impossible. The construction therefore realizes a complete W33 epoch with zero permanently fabricated W33 couplers in the abstract heralded-edge-token model.

Thermodynamic crossover

With layout proxies 1064 and 938 and route probabilities 1-(1-p²)^4 and 1-(1-p²)^2, the exact retry-energy transition is sqrt(1-sqrt(63/469)). W33 wins below the transition; the local control wins above it. This is not wall-plug metrology.

Digital-twin checksum

The identity A²+2A-8I-4J=0 detects all 780 possible single edge flips. A deletion yields residual support 48 and squared norm 54; an insertion yields support 52 and squared norm 58. The two endpoint rows are uniquely identifiable.

Substrate inversion

class	static links	tokens	rounds	hops
native W33	240	0	12	240
virtual teleportation	0	240	12	240
5×8 mesh	67	0	12–870	870
single bus	1	0	240	240

Evidence boundary. Exact: W33 reconstruction, factorization, orbit projection, crossover algebra, primitive counts, single-defect residuals, heralded-route formulas, and the ideal symmetry-walk spectrum. Not established: learned process-tensor operation, physical fusion overhead, autonomous Lindbladian implementation, wall-plug energy, vendor ranking, correlated-link thresholds, or laboratory performance.