CSCT (Clock-Selected Compression Theory) provides a groundbreaking framework to understand how discrete symbols arise from continuous signals. This official implementation delves into geometric constraints and phase-locked selection, offering insights into cognition, representation, and their underlying mechanisms.
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:
| Axiom | Name | Description |
|---|---|---|
| A1 | Streams | Cognition operates on continuous, time-indexed streams. |
| A2 | Constructive Compression | Representations are constrained to convex combinations within a simplex ($L^1$ geometry). |
| A3 | Multi-Clock Factorization | Discrete events emerge via phase-locked clock selection (Na⁺/θ/NMDA gating). |
| A4 | Irreversible Anchor | External anchors introduce thermodynamic directionality and stability. |
| A5 | Barycentric Syntax | Complex operations arise from geometric interpolation, not mere symbol concatenation. |
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.
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