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Shiho Unified Qualia Equation (SUQE) v6.0: Relational Deterministic Completion and Observer-Dependent Qualia Fixation
This paper presents SUQE v6.0, an updated formulation of the Shiho Unified Qualia Equation that incorporates a relational deterministic framework. Building upon previous versions, we introduce the concepts of Relational Completion Strength (R_c) and Observer Fixation (O_f). These notions help to describe how a stable observer-system relationship can serve as the substrate from which qualia emerge. The core equation is given by: L = U + F + E - α R_c - β O_f where ・L is the total relational load, ・U is epistemic burden (uncertainty and prediction error), ・F is relational tension (incomplete integration between observer and system), ・E is capability burden (energetic or computational cost), ・R_c represents Relational Completion Strength (the degree to which the observer-system relational structure stabilizes as a deterministic substrate), ・O_f represents Observer Fixation (the degree to which the observer contributes to the determination and completion of relational dynamics), ・α and β are positive scaling coefficients. Qualia are understood to emerge when the relational load L approaches a minimum, referred to as relational rest. In this state, the observer is thought to function as a system completer, bringing previously indeterminate relational dynamics into a determinate qualitative experience. For formal development, an approximate conservation relation is also introduced: d(L + γ R_c)/dτ ≈ 0 (γ > 0) This relation suggests that, as Relational Completion Strength increases through observer-dependent fixation, the total relational load tends to decrease in a manner that approximately conserves the composite quantity (L + γ R_c). The conservation-like behavior is conceptually continuous with the Noether-derived symmetries explored in SUQE v3.0, while remaining an emergent tendency arising from the stabilization of the observer-system relationship. The present formulation is positioned as a phenomenological and relational model rather than a direct physical theory, leaving open its potential connections to foundational questions in physics and consciousness studies.
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