The text
Volume II · Version 2a · 2026Contact Realization of Generative Transitions
The current Volume II. Fold–contact correspondence, the threshold
equivalence κ* ↔ τ, and the singularity–bifurcation theorem,
with the Lean 4 status of each. This is the copy the rest of the series links to.
../vol2-contact.html
Volume I · Version 4 · 21 June 2026
The Mathematics of Generative Transitions
The volume Book II builds on: six assumptions, five operators, the
operator chain G = U∘F∘K∘C,
and the Whitney A1–A3 classification.
../vol1-mathematics.html
Companions
Companion paperThe dm³ Toy Model
The explicit, smooth, globally analysable system that realises the abstract
contact-geometric framework — the bridge certifying that the fold theory of
Volume I is not merely definable but instantiable.
../vol2-toymodel.html
Interactive
dm³ Dashboard
The interactive companion to the toy model. Note this is the real
dashboard, at the series root — not
../vol2-dashboard.html
book1/vol2-dashboard.html, which
despite its filename is a copy of the Volume II text.Every file in this directory
Listed in full, including the duplicate, so that nothing in
book2/ is reachable
only by guessing at a URL.
| File | What it actually is |
|---|---|
| index.html | This page. |
| vol2-contact.html | The Volume II text. Until 2026-08-18 this file and index.html were
byte-identical — the directory index was a second copy of the
paper rather than an index. It also differs from the canonical
../vol2-contact.html only in relative paths.
Cite and link the root copy. |