Recursive Enclosure and the Dissolution of the Hard Problem of Consciousness

Abstract

This paper develops Recursive Enclosure (RE) as a structural identity theory of active minimal subjectivity. It proposes that a system has the capacity for minimal subjectivity, Cap_RE, where it can sustain a recursively invariant, perturbation-stable and heterogeneously coupled regime. When that capacity is actively instantiated as Act_RE, the resulting interior is identified with minimal subjective experience: the existence of a unified standpoint within which activity is undergone. The paper addresses the production formulation of the hard problem of consciousness. That formulation asks how physical or functional organisation produces phenomenal experience as an additional property. RE identifies active minimal subjectivity with the reflexively enacted organisation itself. Reflexive mathematics articulates the relations through which the regime sustains, indexes and carries forward its own transformations, while phenomenological description articulates the same regime as lived presence. The formal account specifies three jointly required conditions: recursive invariance (RI), perturbation stability (PS) and heterogeneous coupling (HC). Their conjunction defines a non-scalar threshold, τ, for the proposed onset of active minimal subjectivity. The framework distinguishes the capacity for recursive enclosure from the organisation and range of intelligent competence, Cap_Intel and L_Intel. This distinction allows intelligence and subjectivity to be investigated along separate dimensions, particularly in artificial systems. RE is presented as a mechanistically grounded and falsifiable structural framework. Its empirical programme examines perturbational recovery, cross-domain organisation and differential self-indexing while controlling for intelligent performance, global availability and existing scalar measures of consciousness. The account remains substrate-neutral at the level of capacity where the relevant structural invariant is conserved, while allowing concrete properties of the realiser to shape both the mechanism of enclosure and the qualitative character of conscious contents. The paper forms part of the Symbolic-Topological Framework and develops ideas introduced in Symbolic Topology of Experience and Pre-symbolic Recursion: Before the Fold Speaks. Its relation between experiential and structural articulation is further formalised in A Sheaf-Theoretic Correspondence Between Experiential and Structural Descriptions of Subjectivity: A Proof of Concept.