CSCT: Clock-Selected Compression Theory

CSCT offers an innovative axiomatic framework that elucidates the emergence of discrete symbolic representations from continuous neural dynamics. This theory integrates geometric constraints and phase-locked temporal selection to explain cognitive processes.

Core Axioms

The foundation of CSCT is built on five essential axioms:

Key Findings

The theory presents several significant findings related to cognitive representation:

• Reliable Discretization: Emerges from continuous dynamics via clock-selected gating mechanisms.
• Long-term Stability: Irreversible anchors provide superior stability compared to self-referential systems.
• Implicit Binding: Feature binding emerges from a shared phase, independent of explicit concatenation.
• Semantic Grounding: Success is contingent on belonging to the convex hull, with a 96.7% success rate for in-hull versus 16.7% for out-of-hull in Experiment 8.
• Barycentric Syntax: Syntactic composition is achieved through interpolation within the simplex rather than algebraic rule manipulation.
• Ungrounded Symbol Acquisition: Mathematical instantiation of the "Chinese Room," where discrete codes are assigned without reconstructable meaning.

Experimentation

CSCT offers a range of experiments aimed at testing its axioms and findings:

• EX1-EX3: Single and multi-channel discretization and relational encoding.
• EX4-EX5: Stability with irreversible anchors and feature binding through shared clocks.
• EX6-EX7: Category recognition and relational internal timing.
• EX8-EX9: Semantic grounding and syntax inference using barycentric techniques.

##Further Reading For more comprehensive details about the theory and applications of CSCT, refer to the foundational paper:

Intelligence within Bounds: Why Cognition Requires a Closed Convex Hull https://zenodo.org/records/18408862

CSCT stands at the intersection of cognitive science and computational theory, providing a pathway to deeper understanding of how intelligences interpret and create meaning from the world.