Axiom · Chain Position 68 of 346

SIGN CONSERVATION

Romans 3:23 sinned

Self-generated operations cannot change sign

Scripture Bridge
Romans 3:23 sinned: The theological grounding for this concept.

Connections

Assumes

  • None

Enables

  • None
Mathematical Layer

Group Theory of Sign

Sign group: Z₂ = {+1, -1} under multiplication.

Identity: +1 × +1 = +1, -1 × -1 = +1

Key property: -1 × -1 = +1, but there's no element in Z₂ that can transform -1 → +1 through multiplication by itself. You need the identity (+1) to "infect" you.

Theological reading: A sinner (-1) multiplying their efforts (-1 × -1) may produce locally positive outcomes (+1 actions), but their fundamental orientation remains unchanged. Only union with the identity element (+1, the Logos) can transform fundamental orientation.

Defeat Conditions

To Falsify This

  1. **Show a unitary operation that flips eigenvalue sign** — Find a self-generated transformation that changes σ from +1 to -1 or vice versa
  2. **Demonstrate someone saved themselves through works** — Provide an example of self-generated moral transformation
  3. **Violate quantum mechanical unitarity** — Show evolution that doesn't preserve eigenvalue structure
Cross-Domain Mappings
Domain Mapping
Physics Unitary Evolution
Theology Total depravity
Consciousness Baseline states
Quantum Unitary evolution
Scripture Romans 3:23 sinned
Evidence Unitary confirmed
Information Info preservation

Bridge Count: 7