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 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.
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. |
The theory presents several significant findings related to cognitive representation:
CSCT offers a range of experiments aimed at testing its axioms and findings:
##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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