The Derivation Chain

One record exists (self-proving).

• → Four axioms: S (potential), B (reaction), R (product), C (constraint).
• → 1:1 + 1×ε @ AS: every reaction leaks. The second law is the governing axiom applied to chemistry.
• → The gradient: S broken by B. Free energy as departure from equilibrium. The canvas.
• → The surface: C enabling coupling. Constraint concentrates, catalyses, creates the workshop.
• → The circle: R becoming self-referential. Autocatalysis. The first record that writes more records.
• → The threshold: persistence inverts from resisting B to exploiting R. Chemistry becomes biology.
• → The separation: R becomes readable. Instructions separate from machinery. Genetics is structural.
• → The cell: AP02 operator. Budget, drift, corridor, sovereignty, exit. The first economy.
• → The feed: inputs as coupling capacity. Growth is chemistry under constraint.
• → Dependency: R accumulates directionally. Alternatives close. Withdrawal collapses the system.
• → Toxic accumulation: buffer overflow in chemistry. Same geometry as AP35 crashes.
• → Input capture: extraction through supply control. Control is not deprivation. Control is supply.

The feed enters. The system couples. The record accumulates. The alternatives close. The Ledger balances. Not because reality is fair. Because the axioms are unconditional.