Phase 44 · nonlinear amplification and stored-medium accounting

Where does the extra work come from?

AT-0343 → AT-0352, canonical AT-0371 → AT-0380. Deterministic toy benchmark seed 343. A small trigger that launches a large travelling response has to draw the extra work from somewhere: stored free energy in the medium, a continuing external drive, or an unaccounted reservoir. This package makes the reservoir an explicit variable and refuses to report a gain that is not matched by a debit.

The lesson before the numbers

Plain language

Controls

SeedSeed 343 reproduces the recorded stored-medium benchmark.Trigger amplitude — 0.55Strength of the one finite local kick. Nothing travelling is ever prescribed by hand.Excitability threshold a — 0.12How easily the medium ignites. Lower means closer to a runaway.Reaction strength χ — 5.0Nonlinear gain of the local reaction law.Recovery rate ε — 0.09Speed of the second field. Zero is the single-field bistable model that never comes back.Diffusion — 1.4Nearest-neighbour coupling. Locality is never bypassed.Recharge rate — 0.40Bounded local refilling of the reservoir, per cell per unit time.Recharge efficiency — 1.35External input required per unit of stored energy restored. Never below one.Backreaction — 0.08Traveller pushing back on the field it rides. Zero is the forbidden free-ride control.Compression κ — 0.45How much local excitation shortens the traveller's local scale.Identity coupling — 0.35How much a changing local scale disturbs the traveller's internal state.Route cells — 120Length of the modelled route in cells.

Running the stored-medium accounting package…