The Structural Conditions of Consciousness V — Structural Knot Theory — An Equation for the Degree of Subjectivity: Interpreting Limit Cases (Repositioning State-Based Theories of Consciousness: IIT, GNW, HOT, Predictive Processing, RPT, and Epiphenomenalism)

Qualia? “What cannot be directly spoken of must remain unsaid — but it can still be structurally surrounded.” This is the guiding spirit of the present series. This study extends the structural framework of subjectivity to the problem of subjective intensity. Within the IESC (Irreversible Exclusive State Commitment) framework, subjectivity is defined as an event occurring in decision structures where multiple possible futures are irreversibly reduced to a single realized outcome. While previous volumes established the existence and placement of such events, the present study addresses a further question: why subjective experience varies in intensity across situations such as fear, flow states, dreaming, meditation, anesthesia, and deep sleep. The central claim is that subjective intensity is not a property of internal neural states alone, but a structural feature of decision processes within a constrained future possibility space. If subjectivity corresponds to discrete commitment events, then differences in subjective intensity reflect differences in the density and structure of these events. Under this interpretation, variation in subjective intensity is not contingent but follows necessarily from differences in the structure of irreversible commitment. Three structural determinants are introduced: the number of action candidates, the gradient of the viability constraint, and the contraction rate of the reachable future set. Their interaction defines contrast density, representing the structural density of collapsing future possibilities. Based on these elements, subjective intensity is expressed as: I(t) = |A(t)| * |grad d(s)| * ( - d|Reach(t)| / dt ) Within this formulation, experience corresponds to a single-line causal history, while subjective intensity corresponds to the density of irreversible commitment events along that history. This framework provides a unified structural interpretation of phenomena such as fear-induced time dilation, flow states, dreaming, meditation, anesthesia, deep sleep, and decision paralysis, without introducing additional explanatory mechanisms beyond viability-constrained decision structures. In contrast to major state-based theories of consciousness including Integrated Information Theory (IIT), Global Workspace / Global Neuronal Workspace (GWT/GNW), Higher-Order Thought (HOT), Predictive Processing, and Recurrent Processing Theory (RPT), the present account treats subjective intensity not as a function of informational content, but as a consequence of irreversible causal structure. The model does not directly measure subjective experience nor establish consciousness in other systems. Instead, it proposes that subjective intensity can be approximated as a structural property of reachable-set contraction, offering a new perspective on the Hard Problem of consciousness grounded in decision structure and future dynamics. No alternative account explains this variation without introducing additional assumptions. This manuscript was written with the assistance of generative AI. The author is a disability welfare worker and a complete outsider to the academic field of consciousness studies. The author first encountered the term “the hard problem of consciousness” about six months before writing this series and began thinking about it almost as if approaching a puzzle. Because the author did not possess extensive specialized knowledge at the beginning of this inquiry, the investigation proceeded not primarily by adding established theories, but by stripping the problem down as far as possible. Through this process, and through dialogue with AI, the convergence point derived from the structural conditions gradually emerged. The author had the impression that something like a structure had appeared from nature itself. This series is an attempt to pre