The Theory of Persistence
Mathematical atlas

PT mathematics / map

tool

Atlas of PT theorems

A reading map distinguishing identities, theorems, bridges, derivations, and validations.

Plain

The idea

An ambitious theory quickly becomes intimidating. The atlas answers a simple question: what is proved, what is derived, what is tested?

This is essential for credibility: PT must show its strength, but also its statuses honestly.

logical map

T0 T1 CRT Fisher Tests GFT
Standard

Standard reading

The atlas connects GFT, T0-T6, BA5, bridges E/F/G, physical derivations, and numerical validations.

It does not replace the Theorems page; it adds a narrative map: which result depends on which brick?

Takeaways

  • Clarifies the logical strength of results.
  • Protects the site against over-claiming.
  • Gives new readers a map.
Technical

Technical formulation

The technical level should display epistemic categories: ID, THM, BRIDGE, DER, VAL, PRED, META.

A numerically more precise result must never be promoted if its logical status does not allow it. The atlas is a guardrail against confusion.

Monograph: frontmatter/status_ledger.tex, NOMENCLATURE_MAP.md, ch23_audit.

Formulas

$\text{ID}\rightarrow\text{THM}\rightarrow\text{BRIDGE}\rightarrow\text{DER}\rightarrow\text{VAL/PRED}$
$\text{numerical precision}\ne\text{theorem status}$