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
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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
| interval | local z · phase-on | local 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