Phase 56 · the phase speed limit · AT-0493 → AT-0508
Every part of the shortcut must stay cheap, or none of it counts
Seed 493. Phase 55 left one weakness in the physics and one in the method: the two-phase rule was switched by hand, and the advantage was reported as a single ratio. Both are fixed here. A single frozen excitable law now evolves the order field, decides which couplings are accessible, and restores the ordinary phase through its own refractory tail — no external reset exists in the model. And the advantage is decomposed: nucleation, transit, restoration, preparation, debt and action are fitted separately, each one required to converge and to survive a lower-bound audit before it may be called sublinear.
Plain language
Loading.
Headline readings
Time ratio
…
Cost ratio
…
Verdict
…
Physical evidence
NONE
One frozen law · the phase wakes, opens, and sleeps by itself
A single local rule: a resting site becomes active beside an active neighbour, stays active for 6 ticks, is refractory for 6, then rests again. The same rule decides which couplings exist — a latent chord carries an interaction only where both of its endpoints are active right now. Restoration is not a reverse trigger; it is the refractory tail of the same law. Nothing on this diagram is decoration: every colour is the stored state of the site at this tick.
Phase
C₀ — ordinary
Order field
active 1
refractory 0
rest 95
Open latent chords
0
of 48 in the substrate
Onset is the seed
The front itself already travels on the substrate, so the causal structure changed at tick 1 — not when the first chord opened. We do not call the interval before that ordinary-local.
The window law · a frozen constant kills transit
…
| N | transit · frozen window | transit · window law | ordinary | frozen still wins |
|---|
The law, written once
Onset · when exactly does the causal structure change?
…
| tick | active sites | open latent arcs | front radius on S | phase |
|---|
Two triggers · fundamental order versus emergent order
Events
…
Arcs
…
Closed loops
0
Emergent inversions
…
Energy ledger · background free energy is never free
| N | gross action | crossings served | net per crossing | ordinary cost | Q_cost |
|---|
Robustness across substrates
…
Verdict
…
Blockers raised
Results · AT-0493 → AT-0508