Skip to content

ARCHITECTURE.md

Latest commit

 

History

History
122 lines (90 loc) · 4.87 KB

ARCHITECTURE.md

File metadata and controls

122 lines (90 loc) · 4.87 KB

Architecture

Module Dependency Graph

TauLib's modules follow a strict dependency order. Each layer builds only on what came before.

Book I (Foundations)
  Kernel ─→ Orbit ─→ Denotation ─→ Coordinates
                                        │
                                   Polarity ─→ Boundary
                                        │          │
                                    Sets, Logic    Holomorphy
                                        │          │
                                      Topos ───────┘
                                        │
                                    MetaLogic
                                        │
                                       CF

Book II (Holomorphy)
  Interior ─→ Domains ─→ Topology ─→ Geometry
      │
  Transcendentals ─→ Enrichment ─→ CentralTheorem
      │
  Regularity ─→ Hartogs ─→ Closure ─→ Mirror

Book III (Spectrum)
  Enrichment ─→ Sectors ─→ Spectral ─→ Arithmetic
      │
  Bridge ─→ Computation ─→ Doors ─→ Hinge
      │
  Physics ─→ Mirror ─→ Spectrum (TTM)

Books IV–VII build on I–III
  BookIV (Microcosm) ──→ BookV (Macrocosm) ──→ BookVI (Life) ──→ BookVII (Metaphysics)

Reading Paths by Audience

For Mathematicians

"Show me the axioms and what they imply."

  1. BookI/Kernel/Signature.lean — The 5 generators and ρ operator
  2. BookI/Kernel/Axioms.lean — Axioms K1–K6
  3. BookI/Orbit/Rigidity.lean — Aut(τ) = {id} (categoricity)
  4. BookI/Boundary/Iota.lean — The master constant ι_τ = 2/(π+e)
  5. BookII/CentralTheorem/CentralTheorem.lean — O(τ³) ≅ A_spec(L)
  6. BookIII/Bridge/BridgeAxiom.lean — The one conjectural gap

For Skeptics / Reviewers

"I don't believe this. Show me the evidence."

  1. Tour/VerifyItYourself.lean — 5 extraordinary claims, verified live
  2. Tour/OneConstant.lean — Full constants ledger from ι_τ alone
  3. BookIII/Bridge/BridgeAxiom.lean — The scope ledger: what is proved vs. conjectured

For Physicists

"Show me the predictions."

  1. Tour/Physics.lean — Interactive overview of all key predictions
  2. Tour/OneConstant.lean — α, h, ℓ₁, ω_b, r — all from ι_τ
  3. BookIV/Electroweak/EWSynthesis.lean — 9 EW quantities from ι_τ + m_n
  4. BookV/Cosmology/CMBSpectrum.lean — CMB first peak at +69 ppm
  5. BookV/Astrophysics/RotationCurves.lean — 20 galaxies, no dark matter

For Mathematicians

"Show me the proofs."

  1. Tour/Foundations.lean — 5 generators, 7 axioms, rigidity
  2. Tour/CentralTheorem.lean — O(τ³) ≅ A_spec(L) holographic isomorphism
  3. Tour/MillenniumProblems.lean — GRH, BSD, Poincaré through the τ-lens
  4. BookI/Orbit/Rigidity.lean — Aut(τ) = {id}
  5. BookIII/Doors/GrandGRH.lean — Spectral reformulation of RH

For Biologists

"Show me how life emerges."

  1. Tour/LifeFromPhysics.lean — 4+1 life sectors, genetic code, neural arch
  2. BookVI/Source/GeneticCode.lean — Codon degeneracy as error correction
  3. BookVI/Consumer/Neural.lean — Neural architecture as τ³ computer
  4. BookVI/CosmicLife/CrossLimit.lean — The Crossing-Limit Theorem

For Philosophers

"Show me the ethics and metaphysics."

  1. Tour/MindAndEthics.lean — CI formalization, consciousness, free will, Logos
  2. BookVII/Ethics/CIProof.lean — The Categorical Imperative as theorem
  3. BookVII/Logos/Sector.lean — Consciousness as global section
  4. BookVII/Final/Boundary.lean — Boundary commitments encoded as inspectable data
  5. BookVII/Social/Ontology.lean — Social ontology as sheaf theory

For Lean Users

"Show me how it's built."

  1. Tour/Foundations.lean — Interactive walkthrough of the axioms
  2. lakefile.lean — Mathlib tactics-only dependency policy
  3. BookI/Kernel/Axioms.lean — See how axioms become Lean theorems
  4. Browse generated module documentation or the source tree

Per-Book Start Files

Book Start Here What You'll Find
I BookI/Kernel/Signature.lean The 5 generators — where everything begins
II BookII/Interior/Tau3Fibration.lean The τ³ = τ¹ ×_f T² construction
III BookIII/Enrichment/CanonicalLadder.lean The E₀ ⊊ E₁ ⊊ E₂ ⊊ E₃ ladder
IV BookIV/Sectors/SectorParameters.lean The 5 sector decomposition
V BookV/Gravity/GravitationalConstant.lean G from the torus vacuum
VI BookVI/LifeCore/Distinction.lean The 5-condition life predicate
VII BookVII/Meta/Saturation.lean Saturation theorem

Current Counts

This architecture note describes reading paths and module families. It does not own current counts. See the Release Manifest for the authoritative module, declaration, axiom, sorry, and trusted-base status.