Quantum Information as Primitive: A Mathematical Gap in the Panpsychism Debate — E8 Intelligence Research

FINDING: Panpsychism debate centers on whether consciousness is fundamental physics or emergent; no mathematical formalism yet, but quantum-information approaches (Faggin/D'Ariano) propose consciousness as irreducible informational primitive. | MATH: No closed-form equations; key conceptual operators: quantum state |ψ⟩ as carrier of intrinsic experience; information-theoretic measure I(ρ) = −Tr(ρ log ρ) (von Neumann entropy) as candidate for conscious content; Faggin's model posits "self" as non-computable, non-algorithmic — implying Gödelian incompleteness (¬∃ algorithm A: A ⊢ all truths of consciousness). | CONNECTION: Weak — but note von Neumann entropy's extremum at maximally mixed state (ρ = I/d) corresponds to uniform distribution, a symmetry point (SU(d) invariant); no golden ratio, base-60, or crystallographic structure appears in cited sources. | DEPTH: 3/10 — philosophically rich, mathematically vacuous; no testable equations, no constants, no geometric structure. The only qu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com