publications
Guided Tours
Structural falsification guides and Lean verification companions — 56 pages of whitepapers plus 7 native Lean 4 tour modules.
7 whitepapers
One per book, identifying 5-8 load-bearing hinges with exact attack vectors and survival analysis.
7 Lean companions
Native Lean 4 modules mapping 49 structural hinges to their machine-checked formalizations.
8 interactive tours
Step-through modules in TauLib for mathematicians, physicists, biologists, philosophers, and skeptics.
Guided Tour Whitepapers
Seven LaTeX whitepapers (56 pages total), each identifying the 5-8 structural hinges of one book:
| Book | Pages | Hinges | Key Attack Vectors |
|---|---|---|---|
| I | 6 | 7 | Axiom independence, Hyperfact counterexample |
| II | 7 | 7 | Ghost function, break Mutual Determination |
| III | 8 | 6 | Construct E₅, break sector template |
| IV | 7 | 7 | Falsify α formula, mass ratio wrong |
| V | 8 | 8 | CMB-S4 kills r=ι_τ⁴, direct DM detection |
| VI | 9 | 7 | Living system without SelfDesc |
| VII | 11 | 7 | Construct E₄, cross the boundary |
Available as PDF downloads at panta-rhei.site.
Lean Verification Companions
7 native Lean 4 modules that let you #check each hinge theorem directly. 49 structural hinges mapped to their exact formalization:
Interactive Tours
8 audience-targeted tours in TauLib (Tour/*.lean), each a self-contained Lean 4 module you can run with lake build:
- VerifyItYourself — the skeptic’s tour (5 claims, verified live)
- Foundations — 5 generators, 7 axioms, rigidity
- CentralTheorem — O(τ³) ≅ A_spec(L)
- Physics — 9 electroweak predictions
- OneConstant — full constants ledger from ι_τ
- MillenniumProblems — GRH, BSD, Poincaré
- LifeFromPhysics — 4+1 life sectors, genetic code
- MindAndEthics — CI, consciousness, free will