Phase 36 · pricing the dynamic map

What does it cost to bend the map?

AT-0283 → AT-0292. Deterministic toy benchmark seed 283: a thirty-link chain whose links can be compressed by a local geometry control. Manipulation is charged, restoration is charged at the same rate, sharp kinks are charged, and the background is audited. Nothing here is free, and nothing here is physics.

The lesson before the numbers

Compression is easy if geometry edits are free. Once manipulation, restoration and locality are charged, the cost rises sharply.

Plain language

Controls

SeedSeed 283 reproduces the recorded cost benchmark exactly.Links — 30Links in the chain. Baseline lengths are drawn in 0.8 to 1.2.Candidates — 20,000Random control fields drawn in the cost-curve sweep.Target shrink — 0.40All matched comparisons are bisected onto this shrink ratio.Manipulation price — 1.50Charge per unit of q squared. Restoration is charged at the same rate.Roughness price — 0.75Charge for how sharply the deformation varies between neighbouring links.Rate cap — 0.25Largest geometry edit permitted on one link in one step. Geometry cannot change instantly.Corridor half-width — 4How wide the protected relational channel is allowed to be, in links.

Running the geometry-compression package…