The Family Seat

Four costs, one axiom, one mechanism read at four sites. The Snap prices existence, once, at the arena: the held +1×ε, the first-order discount 1/(1+α) on the coupling. The Blink prices every actualization: one grain of possibility, dimensionless, the alternatives not taken. The Stretch prices persistence: the tension's continuous shed, the sky's own growth. The Flip prices the strained hold: what a configuration pays, at second order, to keep a difference open against its ground state.

The ladder, stated carefully because canon itself sharpens it. The first-order cost is the arena's, booked once, on the coupling — it is not the proton's, and no reader should hunt for it inside 1836. Ground states carry the costs of their own constitution and upkeep: AP30's proton carries a first-order maintenance leakage, 1/(84π) on its dynamic term, and a second-order recursion — the leakage of the leakage, the break operating on its own maintenance — whose coefficient is carried with its structural decomposition owed under KS-30.3. What a ground state does not carry is a distinction. It holds nothing open against itself, and so it pays no distinction cost at any order. The Flip is the distinction cost: defined on flips, and only there.