Book II: Categorical Holomorphy
Foundations and Applications of Holomorphy on the Categorical τ-Manifold
Edition Status
This archived volume is projected from Corpus edition metadata as Archived superseded.
The current canonical edition is the Second Edition. Publication-facing corrections are tracked through the global errata record and the current book-specific errata pages.
About This Volume (First Edition)
Book II lifted τ to three dimensions through the τ³ fibration (τ¹ base × T² fiber), developing the lemniscate boundary, spectral character algebra, holomorphic analysis, Hartogs extension, residue theory, connections to number theory, and the Central Theorem: O(τ³) ≅ A_spec(L).
What Changed in the Second Edition
The Second Edition refines the split-complex holomorphy framework, strengthens the mutual-determination results (5-way equivalence), deepens the self-enrichment mechanism, and integrates the full Lean 4 formalization (80% registry coverage for Book II). The subtitle changes from the longer descriptive form to “Finite Readouts of Infinity.”
Archival Note
This volume belongs to the archived First Edition of the Panta Rhei series. It remains part of the publication history of the program, but it has been superseded by the corresponding Second Edition volume as the current canonical release.
Current Canonical Edition
This volume has been superseded by the Second Edition, which is the current canonical release for reading, citation, and technical engagement.
View Second Edition →Citation / DOI (First Edition)
Archival DOI for the First Edition manuscript record. The current canonical release is the Second Edition.
Availability
Currently available as an archived retail artifact via Amazon. Open archival download may follow once current distribution constraints end.
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