Simple Glossary

Plain-language definitions for non-technical readers.

TE

Technology of Expressions. In practice: the foundational framework that says coherent content (C) is collapsed into expression (E) by an identity (I) within a context (K) — the equation E = Φ(C, I, K).

SA

Semantic Algebra. In practice: a method to take any sentence (in any language, any field) and pull out the underlying structural pattern, then re-express that pattern in a different field.

PA

Proportional Algebra. In practice: the formal space, metric, and rules that explain why SA works — and that extend it to chemistry, music, emotion, medicine, AI, and other domains.

Invariant

A structural pattern that does not change when the field changes. Example: "the map is not the territory" (Korzybski), "the Tao that can be told is not the eternal Tao" (Lao Tzu), and Gödel's incompleteness theorem all share the same invariant.

Strip (operator S)

The procedure that removes the field-specific vocabulary from an expression and reveals the underlying structural pattern, if one is present.

Re-contextualization (operator π)

The procedure that takes a structural pattern and re-expresses it in a chosen target field.

Coherence (𝓚⁵, aggregate ⟨𝓚⁵⟩)

A measure between 0 and 1 of how well an expression carries its underlying content, computed as the aggregate ⟨𝓚⁵⟩ of five coherence components. High ⟨𝓚⁵⟩ = expression faithful and rich. Low ⟨𝓚⁵⟩ = expression shallow or distorted. (In Semantic Algebra, the per-expression coherence index retains the symbol κ within SA scope.)

Resonance (ρ)

A measure between 0 and 1 of how compatible a content and an identity are. High ρ = the identity can collapse the content into expression. Below threshold (ρ < θ) = no collapse occurs.

Round-Trip (extended)

A four-step test that verifies whether an expression faithfully carries its source content and can be re-projected without distortion.

Important Clarifications

• This repository is a research framework, not a finished product or a proof of physical truth.
• "Algebra" here means a structured grammar with operations and tests — not numerical algebra in the high-school sense.
• "Proportional" means based on relations between components, not numerical ratios alone.
• "Collapse" is the technical term for the transition from coherent potential to expressed form. It is not metaphorical.