Global Notation

The framework uses a consistent set of symbols to represent systems and their properties. A system is denoted by (S) and unfolds over time (t). Every system can be understood through three fractal layers: L (foundation), M (mediator), and H (high-level organization). For any given layer X, we measure its lacunarity (gap density, denoted ΛX) and its entropy (disorder, denoted EX). Change is driven by a mutation function (F) that introduces variation and a selection function (C) that determines what survives. Randomness or noise is represented by ξ. Tát 2 (T₂) is the cross-validation principle. A single mutation is μ, and survival is σ. Finally, Φ_Trang represents the unified symbolic field of the entire framework.

Trang ∅ Framework is the master architecture for recursive survival.

It explains how systems emerge from potential, stabilize through boundary, carry memory, face entropy, mutate, undergo selection, repair themselves, recurse, observe, symbolize, and scale into civilization.

Its deepest law:

Anything that cannot stabilize, remember, repair, and survive contradiction disappears.

Anything that can recursively preserve coherence under entropy becomes reality-like.