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Adjacency Theory markAdjacency Theory

Phase 58 · two bills under the table · AT-0521 → AT-0532

The trip got faster. The work did not get cheaper.

Seed 521. We took the Phase 57 survivor, changed not one parameter, and made the world thirty-two times bigger. The spark still caught at every size, the network still stood itself down in the same amount of time, and for the first time something actually crossed: a four-component payload with an exact invariant vector, endpoints chosen after the substrate froze, arriving intact with a time advantage that grows with N instead of decaying. Then we opened the ledger and found two bills nobody had written down. Almost the entire network has to do work — collective activity scales as N^1.031 — and our traveller was handed a perfect map it had no lawful way to possess. Both are published here attached to the result, not discovered later by somebody else.

Plain language

Loading.

Extensive activity debtRouting oracle debt

Headline readings

Largest N recruited

Payload Q_time

N = 128 → 2048, growing

Activity scaling

extensive — cost crack not established

Physical evidence

NONE

Local effective exponents · why we are still not claiming a law

intervallocal z · phase-onlocal z · activity

The phase-on exponent falls through the range rather than settling on a value — which is exactly what a logarithm looks like when a power law is fitted to it, and exactly why z ≈ 0.199 is recorded as a finite-size observation. The activity exponent, by contrast, sits at one and stays there.

Verdict

Blockers raised

Next attack

Results · AT-0521 → AT-0532