Dependency and Scope

0.1 — What this paper does

This paper derives nine theorems about agency, conduct, and exit from six standard physical axioms (A1–A6). Agency is treated as a control problem. Conduct is treated as constrained optimisation. Exit is treated as optimal stopping.

All claims are formalised, all results are falsifiable (Appendix C), and no claim depends on intention, narrative, identity, or belief.

AP02 is structurally independent: it does not use the 420 Code axioms {S, B, R, C} directly. Its six axioms (A1–A6) are standard physical constraints inherited from thermodynamics, information theory, and control engineering.

However, A1–A6 are projections of {S, B, R, C} onto the human scale (see Appendix B: Axiom Mapping).

AP02 can be read independently of the body of work or as the human-scale application of the axiom system’s physics.

0.2 — The Chain

A1–A6 → Derivations I–V (the autonomous agent) → Derivations VI–VIII (coupled agents) → Derivation IX (exit). No result requires any other Artist’s Proof. AP01 provides lineage, not dependency.

All nine derivations are derived from standard physics. Eleven formal results. Zero conjectures.

The Operator means sovereign agent — the entity that applies control inputs u(t) to maintain structure against entropic drift. You are an operator. So is a bacterium, a corporation, a civilisation.

The definition does not require consciousness. It requires budget, drift, corridor, and exit.

0.3 — Debts and Kill Switches

Debt D1 (partially closed): Theorem VI.2 (Net-Positive Containment, DERIVED-CONDITIONAL) proves the exclusion half — the persistent set is confined to the net-positive class. The rigorous quantitative matching criterion in (a₁, a₂, u₁, u₂, k) remains owed (the within-class residual).

Kill switches (four load-bearing):

KS-O.1 — If a system with entropic drift maintains structure indefinitely without control input, the drift-discipline duality fails. LIVE.

KS-O.2 — If a system maintains structure when required maintenance exceeds capacity, the event horizon model fails. LIVE.

KS-O.3 — If continued participation in a structurally negative-sum system beats withdrawal, the exit theorem fails. LIVE.

KS-COUP.1 — If a net-negative configuration persists past its collapse bound, or undefended parasitism or pure defection persists against a defended counterparty, the containment theorem (Theorem VI.2) fails. LIVE — STRUCTURAL (conditional).

Every kill switch is an invitation. Appendix C contains 20+ additional falsification criteria.