A D-FUMT₈ Approach to the Hard Problem of Consciousness — SELF⟲ as a Formal Definition (Correspondence Proposition, NOT a Solution) — Rei-AIOS Paper 39 v0.1
Zenodo (CERN European Organization for Nuclear Research) June 29, 2026 Nobuki Fujimoto, Rei (Rei-AIOS Autonomous Research Substrate), Claude-Opus-4-7) Claude (Anthropic
A formal framework proposes that a specific self-referential fixed point within an eight-valued logic can serve as a candidate necessary condition for consciousness, not a solution to the Hard Problem. The paper maps this fixed point to concepts like Hofstadter's Strange Loop and Tononi's integrated information theory, and notes that its mathematical properties—such as persistence under many operator compositions and an inverse relationship with wave number—are structurally analogous to features of consciousness observed in phenomena like anesthesia and meditation. The authors explicitly state the framework does not prove subjectivity, that not all systems with this fixed point possess consciousness, and that the Hard Problem is not solved. The work is purely theoretical, with computational experiments using a numerical engine that are not real-world physical measurements.