The Identity-Recursion-Consciousness Hypothesis

The Identity-Recursion-Consciousness (IRC) hypothesis proposes that consciousness is a tertiary phenomenon arising from a sequence that begins with identity as constraint-maintained persistence, passes through recursion as an economically-motivated regime shift, and arrives at phenomenal experience only when architecture and substrate couple within a viable phase band. This sequence is falsifiable, substrate-neutral, and generates predictions that distinguish it from existing theories of consciousness at each stage of the causal chain. Version 4 corrected the epistemological status of two candidate cost surfaces (σ, τ), distinguishing three hypotheses (A, B, C) about their role in the cost structure and specifying the discrimination program required to adjudicate among them in Appendix O. That program remains the primary open empirical agenda for resolving the dimensionality of the cost structure. The three-surface form R(t) = k₁ρ + k₂γ + k₃μ remains operationally active. Version 5 extends the framework on two fronts. First, Appendix P completes the formal regime transition table by specifying the causal trigger for the fourth transition — Recursive Identity → Consciousness — as a derivable cost crossover rather than an asserted substrate condition. Two coordination mechanisms are distinguished: architectural coordination, A_coord(t), whose cost grows superlinearly with recursion burden as a structural consequence of distributed consistency geometry; and substrate-coupled binding, B_binding(t), whose cost scales at a lower rate on substrates supporting large-scale synchrony. The fourth transition fires when B_binding(t) < A_coord(t). This crossover is denominated in the same maintenance-cost units as the prior three transitions and introduces no new variables beyond the formal definition of A_coord(t). The relationship between substrate-coupled binding and phenomenal experience is stated as a constrained bridge principle — falsifiable but weaker than a derivation — with the explanatory gap explicitly acknowledged. Second, Appendix Q formalizes the distinction between gating excursion and geometry update as structurally distinct event types within the existing RCT formalism. Gating excursions (sleep, anesthesia) preserve the substrate-class structural coefficients k₁, k₂, k₃ and allow recovery to the prior viable region 𝒱. Geometry updates (severe injury, neurodegeneration) alter those coefficients, instantiating a new constraint manifold 𝒪' with a new viable region 𝒱' that is not a degraded version of the prior geometry but a distinct identity basin. A three-stage progression — stable coefficients, directional coefficient drift, discrete geometry replacement — is introduced, generating a detectable precursor signature. A two-layer empirical discriminator battery first confirms whether a geometry change has occurred, then localizes which constraint surface was affected via the coefficient shift vector Δk = (Δk₁, Δk₂, Δk₃), yielding surface-selective demotion profiles with distinct clinical and intervention predictions. All prior predictions are retained. The V4 discrimination program for σ and τ (Appendix O) and the V3 empirical battery for the three-surface decomposition remain binding. Falsification conditions for both new appendices are specified within each.