TauLib.BookIII — Categorical Spectrum

Master import file for Book III (Categorical Spectrum): The Eight Spectral Forces of Mathematics. 50 modules covering the enrichment ladder (E₀⊊E₁⊊E₂⊊E₃), spectral algebra, all 8 Millennium Problem treatments, computation layer, orthodox bridge, and reflective coda.

Module Count: 66

Key Results

• III.T04: Canonical Ladder (E₀⊊E₁⊊E₂⊊E₃ unique and saturated)

• III.T23: Master Schema (8 Millennium Problems as Mutual Determination)

• III.T40: Tower Assembly (coherent bi-square scaling chain)

• III.T41: Hinge Theorem (Books IV-VII are sector instantiations)

• III.T47: Honest Claim (scope discipline verified)

• III.T49: Applied Saturation (E₃ terminal)

Conjectural Axioms (3)

• spectral_correspondence_O3 (III.T18): O₃ spectral gap

• grand_grh_adelic (III.T20): adelic GRH lift

• bridge_functor_exists (III.D71): bridge functor existence