totogt.github.io/geometry · full repo crawl

Master Index

Every HTML file in the geometry repo except those excluded by rule — see the footer for the scope and the count. Generated directly from the filesystem, not the hand-built nav. Search across all 1104 chapters, papers and pages at once. Amber tags mark files with zero inbound links from anywhere else in the repo; the generated indexes themselves are excluded as link sources, so they cannot mask an orphan. Evidence tags live here. Each row shows the tags its page carries — SHOWN, CITED, MODEL, CONJECTURE, OPEN, PROVED, COMPUTED — and how many numbered claims it makes. A page with claims and no tag is marked amber; type untagged in the box to see only those, or a tag word to see every page that carries it. Two vocabularies are in use and this page reports both rather than choosing between them.

1104total files
138orphaned
200pages making claims
153claims, no tag
41books / folders

The rule this series is built on

People are passed over a lot, and then the mathematics gets another status.

A result with a person attached is contingent. Somebody wanted something, tried something, was working in a place at a time, and could have been wrong. Strip the person off and the same result reads as if it were found rather than made — ownerless, timeless, above the ordinary business of being argued with. The promotion is unearned, and it is invisible, because nothing on the page says a name was removed.

This is a didactic for polymaths, and that is not a flourish. Someone who works across fields is the reader most exposed to it. In a field you trained in, the community carries the memory: you were told which conventions are arbitrary, which results were contested for thirty years, which definition won a vote. Crossing into a field you did not train in, you get the polished surface with the argument sanded off — and no one to tell you where the seams were. What you cannot see, you cannot doubt in the right place.

On the word: it is old, and it began as a warning. Araki (2025, University of Louisville dissertation, §1.3) traces it to Heraclitus, who said polymathy does not teach understanding, and to Morhof (1688), who separated those who draw the map from those who travel there. It was an educational ideal in the Renaissance, was turned on by the eighteenth-century encyclopedists, and survived in Victorian England: De Morgan’s wide reading cost him his Tripos rank, and he distrusted competitive examinations for the rest of his life (Attar, Rice & Stray, eds., 2024). Cohen (2015, “A Return to Polymathy”) says it was common until specialization pushed it aside. The modern vocabulary is Araki (2018, Journal of Genius and Eminence 3(1), 66–82; breadth, depth and integration, p. 67). That the cross-field reader is the one most exposed to context-stripped results is this series’ own argument, not theirs.

How to read it. Do not take the series on trust; test it. Pick a system you already understand — an oscillator, a business cycle, a clock, a catalyst — and describe it in the series’ shared terms. Where the description holds, you have learned what your system has in common with others. Where it breaks, either the description is wrong or your model of the system was, and finding out which is the learning. The manifesto asks for exactly this: use the language, challenge it, and improve it (Nogueira Grossi, 2025, §5.4). A shared description does not replace what a specialist knows (§5.2); the gap between the two is the exercise. The same test applies to the series’ own claims, which is why Vol VI publishes audits of them (WP-24, WP-28, WP-29, WP-30).

A way to picture the whole is the Thousand and One Nights. One frame holds many tales, each complete in itself, and you may begin on any night. The collection grew over centuries with no single fixed form, and this one is meant to keep growing too. The comparison stops where it matters. A tale in the Nights does not have to be true, and its frame cannot be proved wrong. A page here says something that can be checked, and the frame itself has already lost pieces that failed the check. So read it the way you would listen to Scheherazade, with curiosity and in no particular order, and then do what she never asked of her listener: test what you were told.

So the method, in three questions, asked of anything you did not grow up inside:

  1. Who made this, and what were they trying to do? A result you cannot attribute is a result you cannot yet argue with.
  2. What did it cost them to be wrong? Conventions adopted cheaply and defended for a century look identical to theorems, until you ask.
  3. Where does it resolve? A file, a page number, a script that recomputes it. If the answer is “it is well known”, you have found the seam.

That is also why every volume here names its people, and why every claim carries the path it resolves at. Anonymity is what lets a claim get promoted without being checked — in mathematics exactly as in a citation. The apparatus in this series is one rule applied twice.

Book I — Mathematics of Generative Transitions  — open folder index

Book II — Contact Realization  — open folder index

Book III — The Mini-Beast  — open folder index

Book IV — GTCT / Newark  — open folder index

Appendices A–F · GTCT Vol IVbook4/chIV-appendices.html Roman chapter1 claim · untagged11 links
CatGT — Catalytic Generative Theory, Part Ibook4/ch11-catgt.html numbered chapter3 claims · untagged4 links
Ch 4 · The Hypercube · Principia Orthogona Book 4book4/ch04.html numbered chapter2 claims · untagged29 links

Book V — AXLE  — open folder index

Book VI — Working Papers & Applications  — open folder index

Book VII — The Scientists  — open folder index

Per Bak · Book 7: Scientist Gallery · Principia Orthogonabook7/ch-bak.html named chapterCITEDCOMPUTED×3OPEN×3SHOWN×26 links

Book VIII — Cosmological / Quantum  — open folder index

Book X — Trade, Power and the Continent  — open folder index

Book XI — What a Numeral Names  — open folder index

Book XII — Counting, and the First Thing That Goes Wrong  — open folder index

Book XIII — Category Theory  — open folder index

Book XIV — The Language of Mathematics  — open folder index

Maximum Meaning · Book XIV — Principia Orthogonabook14/ch07-maximum-meaning.html numbered chapterCITED×6COMPUTED×4MODEL×2OPEN11 links
Six Lines · Book XIV — Principia Orthogonabook14/ch08-six-lines.html numbered chapterCITEDCOMPUTEDMODELOPEN7 links

Book XV — The Mathematics of Travel and Trade  — open folder index

Book XVI — LLMs Explained  — open folder index

Book XVII — The Machine Floor  — open folder index

Book XVIII — The Chain Rule  — open folder index

Off the Line · Book XVIII — Principia Orthogonabook18/ch05-off-the-line.html numbered chapterCITEDCOMPUTED×4MODEL1 claim5 links
The Rule Itself · Book XVIII — Principia Orthogonabook18/ch02-the-rule-itself.html numbered chapterCITED×2COMPUTED×5MODELOPEN1 claim7 links

Book XIX — AXLE and the Manual  — open folder index

Book XX — Reading Data  — open folder index

Book XXI — The Classification of Planar Linear Systems  — open folder index

Book XXII — Language Arts and Added Languages  — open folder index

Book XXIII — 22 Days  — open folder index

Book XXIV — Linear Algebra for Graduate Study  — open folder index

Book XXV — Ponte / Bridge  — open folder index

Book XXVI — 2026  — open folder index

Book XXVIII — Index Theory  — open folder index

Book XXIX — Open Threads  — open folder index

Book XXX — Planned  — open folder index

Book XXXI — Planned  — open folder index

Book XXXII — Planned  — open folder index

Book XXXIII — Planned  — open folder index

Book IX — Omega Point  — open folder index

HVEH  — open folder index

A Monster's Law  — open folder index

Orthogenesis  — open folder index

Courses — dm³ 101–103, English for Researchers, HIST 201, IMPA sessions  — open folder index

Soundworks and wellness  — open folder index

Portfolio, preprints and pitches  — open folder index

Book III — The Mini-Beast, and other root chapters  — open folder index

A Bucket of Seawater · Book 3 — Principia Orthogonach-a-bucket-of-seawater.html named chapterCITED×4COMPUTED×5MODEL×4OPEN×34 links
Ch 16 · Scale Invariance — Book 3: The Mini-Beastch16-scale.html numbered chapter1 claim · untagged7 links
Ch 3: Plasma-Sheet Reconnection — The Mini-Beastch03-plasma.html numbered chapter2 claims · untagged28 links
Ch 4: Market Volatility Manifolds — The Mini-Beastch04-markets.html numbered chapter2 claims · untagged32 links
Ch14 · AXLE — The Sorry-Free Paper · Book 3ch14-axle.html numbered chapter3 claims · untagged33 links
Chapter 1 — The Cajueiro Principle | Book 3: The Mini-Beastch1.html numbered chapter1 claim · untagged31 links
Chapter 10 — Lyapunov | Book 3: The Mini-Beastch10-lyapunov.html numbered chapter1 claim · untagged53 links
Chapter 2 — Generative Matrix | Book 3: The Mini-Beastch2.html numbered chapter1 claim · untagged27 links
Chapter 6 — Resonance | Book 3: The Mini-Beastch6-resonance.html numbered chapter1 claim · untagged52 links
Disaster Theory | dm³ · Principia OrthogonachDis-disaster.html operator chapter2 claims · untagged7 links
Orthogonal Quiver Linkscollab/pinot-orthogonal-quivers/index.html CITEDCOMPUTEDCONJECTUREOPENPROVED×32 claims1 link
Principia Orthogona · Hub · Book 4 · GTCThub.html generated index1 claim · untagged62 links
Why the Blowup Worksreading/openai-navier-stokes/human-layer.html CITED×2COMPUTED×2OPEN×215 claims2 links

Archive (legacy)  — open folder index

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