Sin — Topic Index

Decoherence, Sign Operator, The Fall

Sin is decoherence — the fragmentation of integrated information, the breaking of relationships, entropy in the moral domain.

Ring 2 — Canonical Grounding

#	ID	Title	Link
067	A8.1	Binary Distinction	→
068	A8.2	Sign Conservation	→
069	D8.1	Sign Operator σ	→
070	T8.1	Sign Invariance Theorem	→

#	ID	Title	Link
071	C8.1	Self-Flip Impossible	→
072	C8.2	Works Salvation Impossible	→
025	T3.1	Coherence Cannot Self-Increase	→

#	ID	Title	Link
092	T11.2	Vice As Decoherence	→
149	U2	Decoherence Universal	→
096	D12.2	Fragmentation Attractor	→

#	ID	Title	Link
099	T12.2	Hell As Low-Φ Attractor	→
047	A6.3	Irreversibility	→

#	ID	Title	Link
073	A9.1	External Intervention Required	→
075	D9.1	Grace Operator Definition	→

Romans 6:23 — “The wages of sin is death” (decoherence → fragmentation)
Romans 3:23 — “All have sinned” (universal σ = -1)
Isaiah 64:6 — “All our righteous acts are like filthy rags” (works insufficient)
Jeremiah 17:9 — “The heart is deceitful” (self-flip impossible)

$$\sigma = -1 \quad \text{(sin state)}$$ $$\frac{d\sigma}{dt}\bigg|_{internal} = 0 \quad \text{(cannot self-flip)}$$

Sin is a conserved quantity under internal operations. Only external grace can change it.

Entropy interpretation: $$S_{sin} = -k_B \ln(\text{coherence})$$

Sin increases entropy, decreases coherence, fragments integrated information.