PureCore – Complete Structural Edition (Unified BYXCZ, Coherence Flux, and Valence Order Theory)

This release provides the complete structural edition of PureCore, consolidating all essential definitions, equations, and dynamical structures into a single, readable document.
It unifies the BYXCZ architecture, Coherence Flux (dC/dt), Directionality Potential (Ω), and Valence Flux (V = dΩ/dt) into one coherent framework.

Where the ZIP dataset offers the full machine-readable source materials, and the minimal PureCore PDF provides the generative core, this edition presents the entire conceptual and mathematical structure in a single text, without diagrams or external dependencies.

The purpose of this release is simple:
to allow researchers to understand the whole theoretical landscape—from internal cognitive directionality to civilization-scale Ω dynamics—without consulting appendices or application-specific documents.

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Key components included

Unified BYXCZ five-layer cognitive architecture

Coherence Flux (dC/dt) as the local structural variable

Valence Order Theory (VOT): Ω decomposition and V = dΩ/dt

Integration conditions, collapse regimes, and directionality transitions

Relationship between human-specific structures and system-general forms

Complete separation of PureCore (universal structure) from applied domains
(life, society, AI, civilization)

Taken together, this PDF functions as the stand-alone full text of PureCore:
a single document containing every essential definition, equation, and structural dependency, without requiring access to the ZIP dataset.

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Position within the Unified Framework

PureCore forms the foundational layer of a three-level directionality framework:

1. PureCore — the micro-structural generative model
(internal layered dynamics, coherence, reverse flow, Z-clarity)

2. Valence Order Theory (VOT) — the abstraction layer
(directionality potential Ω and valence flux V = dΩ/dt,
generalizing PureCore to physics, life, cognition, AI, and society)

3. Civilizational Ω — the macro-directionality layer
(emergent, long-range dynamics of institutions, technology, and civilizations)

This edition defines the complete base model upon which VOT and Civilization-scale Ω are constructed.