**Soul intensity ∝ Φ (higher integration → stronger soul coupling)**
All physical quantities are "mathematical constructs" in some sense:
1. Temperature is "just" average kinetic energy—a statistical/mathematical construct. Yet it's causally efficacious.
2. Entropy is "just" a measure of microstate counting—a mathematical construct. Yet the second law governs real physics.
3. Φ is similarly constructed: It measures something real (information integration) using mathematical tools. The question is whether that mathematical measure tracks a real physical property.
4. Empirical correlations: Φ (or proxy measures like PCI) correlates with consciousness:
5. Causal role: If Φ correlates with and predicts consciousness, and consciousness is causally efficacious (which it is—our beliefs affect our actions), then Φ tracks something real.
Verdict: Φ may be mathematically defined, but so is every physical quantity. What matters is whether it tracks reality—and it does.
This objection conflates numerical identity with qualitative identity:
1. Numerical Identity: You are the same entity across time. This is preserved by soul conservation ([[083_A10.2_Soul-Conservation|A10.2]]), not by Φ.
2. Qualitative Identity: The richness, depth, and character of your conscious experience. This DOES vary with Φ:
3. [[086_P10.2_Soul-Identity-Persistence|P10.2]] Claims: Higher Φ → stronger soul coupling, meaning:
4. Threshold Effects: Below some Φ threshold, consciousness may be absent (dreamless sleep). Above it, there's experience. The intensity scales with Φ.
Verdict: Numerical identity is conserved ([[083_A10.2_Soul-Conservation|A10.2]]); qualitative intensity varies with Φ ([[086_P10.2_Soul-Identity-Persistence|P10.2]]). Both are true.
This objection actually supports [[086_P10.2_Soul-Identity-Persistence|P10.2]]:
1. Lower Φ → Less Intense Consciousness: A fly (if conscious) likely has a very simple, less integrated experience than a human. Its "soul intensity" (consciousness richness) is proportionally lower.
2. Not Prejudicial—Descriptive: Saying a fly has less soul intensity isn't a moral judgment—it's a description. A fly experiences less because it integrates less.
3. Gradations of Consciousness: [[086_P10.2_Soul-Identity-Persistence|P10.2]] implies a spectrum:
4. Moral Implications: This doesn't mean flies don't matter—but their experience is less rich. Animal ethics can still assign them moral status while recognizing consciousness gradation.
5. The Scale Is Continuous: There's no sharp boundary, just gradual increase in soul intensity with Φ.
Verdict: Simple creatures have lower soul intensity proportional to their Φ. This is descriptive, not normative.
This is the "integration problem" of IIT, and it's not a defeater:
1. IIT's Answer: IIT has the "exclusion postulate"—only the maximal Φ structure counts as conscious. A computer may have high Φ in some configuration but not in the right way.
2. Feed-Forward Networks: Standard computers are mostly feed-forward (input → output). Feed-forward networks have Φ = 0 regardless of complexity. True integration requires recurrent connections with the right architecture.
3. Maybe Computers ARE Conscious: If a computer genuinely achieves high Φ with the right architecture (recurrent, highly integrated), [[086_P10.2_Soul-Identity-Persistence|P10.2]] would say yes, it has soul intensity. This is a bullet IIT bites—whether you find it absurd is a separate question.
4. The Hard Problem Remains: Even with high Φ, we don't know if there's "something it's like" to be the computer. [[086_P10.2_Soul-Identity-Persistence|P10.2]] links soul intensity to Φ, but determining whether Φ > 0 ↔ consciousness requires resolving the hard problem.
5. χ-Field Constraint: Soul-fields exist in the χ-field. If the χ-field only couples to certain substrates (biological, or configured in specific ways), arbitrary computers may not qualify.
Verdict: High Φ computers may have consciousness (if IIT is right) or may not (if χ-field coupling has additional constraints). [[086_P10.2_Soul-Identity-Persistence|P10.2]] is consistent either way.
Far from being a problem, this is a verification:
1. Derivation, Not Assumption: We didn't assume God has maximal soul intensity; we derived it from [[086_P10.2_Soul-Identity-Persistence|P10.2]] + God's maximal integration (from other axioms).
2. Non-Trivial Implication: [[086_P10.2_Soul-Identity-Persistence|P10.2]] applies universally. That it correctly yields "God is maximally conscious" is a consistency check, not a circularity.
3. The Chain Works:
This is valid inference, not circular reasoning.
4. Implications for Creatures: [[086_P10.2_Soul-Identity-Persistence|P10.2]] also implies that creatures with higher Φ have more soul intensity—angels > humans > animals > plants > rocks. This is a substantive, testable claim.
5. Gradations of Glory: Eschatologically, [[086_P10.2_Soul-Identity-Persistence|P10.2]] explains why there are "degrees" of glorification—those who developed greater Φ (through alignment with God) have greater capacity for heavenly experience.
Verdict: That [[086_P10.2_Soul-Identity-Persistence|P10.2]] yields correct results for God and creatures is evidence FOR the principle, not against it.
IIT Postulates:
Giulio Tononi's Integrated Information Theory provides the physical basis for [[086_P10.2_Soul-Identity-Persistence|P10.2]]:
1. Intrinsic Existence: Systems have intrinsic causal power
2. Composition: Systems are structured
3. Information: Systems specify information
4. Integration: Systems are irreducible (Φ > 0)
5. Exclusion: Maximal Φ structure is conscious
Φ Definition:
Where:
Physical Meaning: Φ measures how much information is lost when you decompose a system into its parts. High Φ = strong integration = consciousness.
Property [[086_P10.2_Soul-Identity-Persistence|P10.2]]:
For any soul-field ψ_S, define:
Then: ∃ k_S > 0 such that I_S = k_S · Φ.
Formally: