# 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.