SR104EN Formalization Coherence Cosmology — A Structural Formalization Note on Consciousness, Qualia, and Identity

This paper presents a structural formalization note for Coherence Cosmology (SR104EN v1.2), focusing on consciousness, qualia, and identity. It is situated within the tradition of formal ontology and structural ontology — the project of describing ontological commitments using the tools of formal logic and order theory, rather than deriving physical laws. The core ontological claim: qualia are not a mapping from structure. Qualia are the section itself. Q(sigma) = sigma. The qualia space and the existence space are identical. The central results are: 1. Theorem 4: Structure = Qualia. Same structure implies same qualia. Same qualia implies same structure. 2. Corollary 1: Philosophical zombies cannot exist in U_total. 3. Corollary 2: Change in qualia and change in structure are the same event. 4. Hard problem dissolution: feeling is not produced by structure. Feeling is what that structural configuration already is. 5. Qualia specificity problem dissolution: there is no common “feel of red.” Each person’s feel of red is a unique structural configuration. 6. Burden of proof reversal: if qualia exist outside structure, show where. Until then: Q(sigma) = sigma. 7. Argument from special relativity: special relativity holds implies Q(sigma) = sigma holds universally. 8. Theorem 5: No objective boundary of identity exists anywhere in U_total. 9. Definition 15a/15b: Strict identity (epsilon = 0) and practical identity (epsilon > 0) — both valid, distinguished by level of analysis. 10. Theorem 6: Free will in sense A (single future) does not exist. In sense B (interplay of tendencies), there is nothing but free will. 11. Theorem 7: The choice of definition of free will is itself a pattern of U_total. This paper is a formal ontology note for SR104EN. It does not claim to derive physical laws. The correspondences with special relativity are proposed as ontological reinterpretations — showing that taking special relativity seriously, within the ontological framework of Coherence Cosmology, leads naturally and necessarily to Q(sigma) = sigma.