Cognitive Resonances and Mind Dynamics: Consciousness Loops, Identity Continuity, and Phase Locking in the Dyadic Fold
Zenodo (CERN European Organization for Nuclear Research) June 8, 2026 DOI: 10.5281/zenodo.20591049 (opens in new tab) via OpenAlex
Summary
AI-generated from the abstractConsciousness can be mathematically defined as a self-observing, stable periodic loop of order greater than one. Identity continuity, or reincarnation, occurs when distinct transient states sharing the same odd denominator converge to the same invariant attractor cycle. Phase-locking conditions for mind-to-mind resonance require that the greatest common divisor of the denominators exceeds one. The near-death experience is modeled as a deterministic, stepwise clearing of transient power-of-two factors in exactly k fold steps.
Study at a glance
| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Keywords | Consciousness Attractor Identity music Invariant physics Cognitive systems |
| Key finding | Proposes that consciousness is a self-observing stable periodic loop and that identity continuity across physical containers is mathematically demonstrable through convergence of transient states sharing the same odd denominator to an identical invariant attractor cycle. |
Abstract
This paper provides a mathematical formulation for consciousness and cognitive transition. It defines consciousness as a self-observing, stable periodic loop of order L>1. It proves identity continuity (reincarnation) across physical containers by demonstrating that distinct transient states (like 3/20 and 7/40) sharing the same odd denominator d=5 converge to the identical invariant attractor cycle. It outlines phase-locking conditions (gcd(dA,dB)>1) for mind-to-mind resonance and signal transfer, and models the Near-Death Experience (NDE) as the deterministic step-by-step clearing of transient power-of-two factors in exactly k fold steps.