A Minimal Self-Invariant: Projective, Fiber-Bundle, and Coupled-Oscillator Formalization of Self, Meta-Self, and Consciousness
Zenodo (CERN European Organization for Nuclear Research) August 23, 2026 DOI: 10.5281/zenodo.22071760 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Argues that the operators of the Minimal Self-Invariant and Orthogonal Consciousness framework can be grounded in classical mathematical structures, with some components formally grounded and others remaining working hypotheses. |
Abstract
We extend a prior compact axiomatization of self, meta-self, continuity, and freedom (Mini-mal Self-Invariant and Orthogonal Consciousness) by grounding its operators in classical, canon-ical mathematical structures: projective compression, fiber bundles over a temporal base, rela-tional tensors, coupled complex oscillators, discrete angular geometry, and asymptotic dynamical-systems classification. The goal is not to claim empirical validity for a theory of consciousness,but to replace informal or underspecified operators (Πself , θ, K, the inner product ⟨·, ·⟩MECR )with structures that are either already well-studied (projections, fiber bundles, Kuramoto/Stuart-Landau networks, angular defect, omega-limit sets) or explicitly flagged as open. We report bothwhat is formally grounded and what remains a working hypothesis.