Definitions

The snap, and The Snap. A snap is a constitution event: the single Actualization State instant at which a configuration’s first record is written and holds. Before it there is possibility; after it there is a configuration paying maintenance. Every persisting configuration had one. The Snap, capitalised, is the arena’s own: the original break, the first record of all — the one constitution event with no arena prior to it. This paper prices The Snap, and §4 shows why the others are already priced.

Provisioned and realised. The axiom names two totals, and this paper uses both. What a snap requires is the full right-hand side of the axiom: 1:1 + 1×ε — the balance, plus the one element that holds it. What persists is the 1:1. “Provisioned” is the first total; “realised” is the second.

The commitment (CCC). The unpaired ε of the arena’s constitution instant, held as the price of the arena’s persistence. Paid once. Held forever. Denominated in the persistence coupling — it appears as a fraction of α_G, which is why G is the denominator of the configuration-cost estimate, as c is the denominator of every leakage estimate.

The leakage (TLC). The unpaired ε of every subsequent instant, shed at the boundary. Paid at every now. AP06’s subject, restated here only for the contrast:

Fix each cell of the table in mind and the rest of the paper is bookkeeping: one ε per instant, two destinations, and the destination is decided by whether the instant is a configuration’s first.