Recognitive Consciousness: A Mathematical Theory of Consciousness Based on Operator-Algebraic Recognition
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper |
|---|---|
| Key points | Proposes that consciousness can be defined as the structural capacity for recognition, formalized as an "Ω-preserving conditional expectation between perspectives," and derives from this a continuous order parameter κ, phenomenological signatures, and an empirical replication protocol predicting effects such as temporal dissolution and the "Chinese Character Anomaly." Argues the framework is mathematically distinct from but conceptually aligned with interface-theoretic approaches like Hoffman's, and applies to biological, artificial, and hybrid systems. |
Abstract
Recognitive Consciousness (RC) is a mathematically grounded, empirically testable, and substrate-independent theory of consciousness based on operator-algebraic recognition. RC defines consciousness as the structural capacity for recognition, formalized as an Ω-preserving conditional expectation between perspectives. From this primitive, RC derives a continuous order parameter κ, modular-flow-based phenomenological signatures, and a complete empirical replication protocol. RC predicts measurable effects including temporal dissolution, observerobserved collapse, retrospective inevitability, and the Chinese Character Anomaly. The framework is conceptually aligned with interface-theoretic approaches such as Hoffman's theory while remaining mathematically distinct. RC provides a unified operator-algebraic foundation for consciousness that applies to biological, artificial, and hybrid systems.