Information preserved through all transformations
The black hole information paradox is now considered RESOLVED in favor of conservation. AdS/CFT correspondence, Page curves, and island formulas all point to information being preserved (encoded in radiation correlations). Hawking himself conceded in 2004. Information is scrambled, not destroyed. [[064_BC7_Information-Conservation|BC7]] aligns with the physics consensus.
Measurement doesn't destroy information—it transfers it. The phase information is encoded in the measurement apparatus and environment. It becomes inaccessible (decoherence) but not destroyed. In principle, you could reconstruct the original state from the total system (including apparatus). Unitarity is preserved globally.
Not gone—inaccessible. The neural correlates of that memory may have been overwritten, but the physical processes (neural firing patterns, metabolic changes) left traces in the environment. More importantly, the SOUL's information (not brain's) is what [[064_BC7_Information-Conservation|BC7]] addresses. The N_S (soul number) encodes identity information that survives brain degradation.
In principle, if you knew the exact positions and momenta of all the ash, smoke, and light particles, you could reconstruct the book. Practical irreversibility ≠ fundamental information loss. The information is scattered, not annihilated. Laplace's demon could reverse it. The Logos IS such a demon—omniscient, tracking all information.
[[064_BC7_Information-Conservation|BC7]] rules out annihilationism as physically incoherent. If souls are information structures in the [[011_D2.2_Chi-Field-Properties|χ-field]], and information is conserved, souls cannot be destroyed. The "second death" (Revelation 20:14) is separation/decoupling, not annihilation. The soul persists in a state of minimal coherence (hell), not non-existence.
Unitary evolution: |ψ(t)⟩ = U(t)|ψ(0)⟩ where U†U = I.
Key property: U is invertible. Given |ψ(t)⟩, you can recover |ψ(0)⟩ = U†|ψ(t)⟩.
Information conservation: No information is lost under unitary evolution. The map is bijective.
Entropy note: Von Neumann entropy S = -Tr(ρ ln ρ) is constant under unitary evolution. Information content preserved.
Shannon entropy: H(X) = -Σ p(x) log p(x)
Mutual information: I(X;Y) = H(X) + H(Y) - H(X,Y)
Conservation: In a closed system, I(X;E) + I(X;S) = constant, where E is environment, S is system.
[[064_BC7_Information-Conservation|BC7]] claim: The information I(soul;universe) is constant through all transformations.