A9.1 — External Intervention Required

Mathematical Layer

Formal Proof

Theorem ([[073_A9.1_External-Intervention-Required|A9.1]]): If sign-flip occurs and self-operations preserve sign, then external intervention occurs.

Proof:

1. Let S be a moral system with sign σ(S) ∈ {+1, -1}

2. Let F = {f : S → S | f is self-generated}

3. By [[068_A8.2_Sign-Conservation|A8.2]]: ∀f ∈ F, σ(f(S)) = σ(S)

4. Suppose σ(S_t1) = -1 and σ(S_t2) = +1 for t2 > t1

5. Then ∃ operation g: S_t1 → S_t2 with σ(g(S)) ≠ σ(S)

6. By 3: g ∉ F (g is not self-generated)

7. Definition: g ∉ F means g is external

8. Conclusion: External intervention occurred ∎

Defeat Conditions

To Falsify This

**Show self-generated sign flip** — Demonstrate σ: -1 → +1 through purely internal operations
**Prove bootstrap salvation** — Show someone saved themselves through works alone, no external input
**Violate unitarity bounds** — Find a unitary operator that changes eigenvalue sign
**Demonstrate closed-system negentropy increase** — Get order from disorder without external source

EXTERNAL INTERVENTION REQUIRED

Connections

Assumes

Enables

Formal Proof

To Falsify This