BC7 — Information Conservation
Chain Position: 64 of 188
Assumes
- [BC7](./063_BC6_Infinite-Energy-Source]]
Formal Statement
Information preserved through all transformations
- Spine type: BoundaryCondition
- Spine stage: 7
Cross-domain (Spine Master):
- Statement: Information preserved through all transformations
- Stage: 7
- Bridge Count: 0
Enables
Defeat Conditions
To falsify this axiom, one would need to:
- Show information is destroyed in black holes — Prove Hawking’s original claim (information paradox) is correct
- Demonstrate unitary violation — Find a process where quantum information is genuinely lost
- Show souls can be annihilated — Prove personal identity can cease to exist entirely
- Violate the no-hiding theorem — Find information that disappears rather than relocating
The physical claim: Quantum mechanics is unitary—information is conserved. What goes into a process can in principle be recovered. This applies to souls: the information constituting personal identity cannot be destroyed, only transformed or relocated.
Standard Objections
Objection 1: “Black holes destroy information”
“Hawking radiation is thermal—carries no information about what fell in. Information is lost.”
Response: 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.md) aligns with the physics consensus.
Objection 2: “Measurement destroys superposition information”
“When you measure, you lose the phase information in the superposition.”
Response: 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.
Objection 3: “People forget—information is lost”
“I can’t remember what I had for breakfast three years ago. That information is gone.”
Response: 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 BC7 addresses. The N_S (soul number) encodes identity information that survives brain degradation.
Objection 4: “Thermodynamic irreversibility destroys information”
“A burnt book can’t be reconstructed. The information is gone.”
Response: 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.
Objection 5: “Annihilationism is a valid theological position”
“Some Christians believe the unsaved simply cease to exist—soul destruction.”
Response: BC7 rules out annihilationism as physically incoherent. If souls are information structures in the 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.
Defense Summary
BC7 establishes that information—including the information constituting souls—cannot be destroyed.
The argument:
- Quantum mechanics is unitary (consensus physics)
- Unitarity implies information conservation
- Souls are information structures (χ-field configurations)
- Therefore, souls cannot be destroyed
- Personal identity persists through all transformations
- This grounds resurrection: the information is always “there” to be reconstituted
BC7 is the informational immortality principle.
Collapse Analysis
If BC7 fails:
- Souls can be annihilated (permanent death possible)
- Personal identity is contingent (you could cease to exist)
- Resurrection becomes impossible (no information to resurrect)
- God’s omniscience fails (He’d lose track of destroyed information)
- The black hole information paradox is real (physics in crisis)
- BC8 (Voluntary Coupling) loses its subject (who would couple?)
BC7 is the survival principle that makes resurrection and eternal life coherent.
Physics Layer
Unitarity and Information
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.
The Black Hole Information Paradox
Hawking (1975): Black holes emit thermal radiation (Hawking radiation). Thermal = no information.
Problem: If information goes in and only thermal radiation comes out, information is destroyed. Violates unitarity.
Resolution (2004-):
- AdS/CFT: Boundary theory is unitary → bulk (including black holes) must be too
- Page curve: Entropy of radiation initially increases, then decreases—indicating information escapes
- Island formula: Geometric calculation shows information encoded in radiation
Consensus: Information is preserved. Black holes are information scramblers, not destroyers.
The No-Hiding Theorem
Theorem (Braunstein & Pati 2007): If information disappears from a subsystem, it must appear in the correlation between subsystem and environment.
Implication: Information cannot vanish into nothing. It either stays in the system or moves to correlations. There’s no third option.
Application to souls: Soul information that seems “lost” at death is actually encoded in environment/χ-field correlations. It’s hidden, not destroyed.
Quantum Error Correction
QEC: Encodes information redundantly so errors can be corrected.
The universe as QEC: The χ-field may encode soul information with error correction. Death-related “errors” (body decay) don’t destroy the logical information (soul identity).
Resurrection as error correction: The original state is recovered from the encoded information.
Connection to χ-Field
Soul as χ-field configuration:
Where N_S is the conserved soul number.
Information conservation: N_S is strictly conserved. The configuration may change (transformation), but the identifying information persists.
Death as decoupling: At death, Ψ_soul decouples from the body but doesn’t vanish. The χ-field configuration continues.
Mathematical Layer
Information-Theoretic Formulation
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.
BC7 claim: The information I(soul;universe) is constant through all transformations.
Kolmogorov Complexity
K(x): Shortest program that outputs x.
Conservation: K(x) is invariant up to an additive constant across different universal Turing machines.
Soul complexity: The information defining a soul has a definite K value. This value persists—the soul’s identity is a compressed description that survives.
Liouville’s Theorem
Classical: Phase space volume is conserved under Hamiltonian flow.
Interpretation: The “amount of information” (measured by phase space volume) is constant.
Quantum analog: Hilbert space volume (norm) conserved under unitary evolution.
BC7 as Liouville: The information-theoretic “volume” of a soul is conserved.
The Soul Number N_S
Definition: N_S = unique identifier of soul (from D-108)
Conservation law:
Interpretation: N_S is a conserved quantity like charge or baryon number. Souls are not created or destroyed after initial instantiation.
Noether’s theorem analog: If there’s a symmetry (soul-identity invariance), there’s a conservation law (N_S conservation).
Category-Theoretic Formulation
Information category: Objects are information states, morphisms are information-preserving transformations.
BC7 as isomorphism: All physical transformations are isomorphisms in the information category—bijective, invertible.
No morphisms to zero object: There’s no morphism that takes a soul to “nothing.” All morphisms have non-trivial targets.
Fixed Point Analysis
Identity as fixed point: Personal identity is what remains invariant through transformations.
BC7 guarantees: The identity-encoding information is a fixed point under all physical transformations.
Death is not annihilation: Death transforms the soul state but preserves the identity fixed point.
Source Material
01_Axioms/_sources/Theophysics_Axiom_Spine_Master.xlsx(sheets explained in dump)01_Axioms/AXIOM_AGGREGATION_DUMP.md
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Category: Information_Theory/|Information Theory
Depends On:
- [Information Theory](./063_BC6_Infinite-Energy-Source]]
Enables:
Related Categories:
- [Information_Theory/.md)