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Coherence Geometry Foundations, Volume II: Source Curvature, Book I: Source Geometry, Fluid Projection, and Regularity

Internal ID: CGI-BKS-0003
Author(s): Barry L. Petersen
Document Type: Book
Publication Date: September 2026
Current Version: 0.1
Revised Document Date: September 2026
Status: Public
Domains: Mathematics, Physics
Research Topics: Coherence Geometry, Source Theory, Source Curvature, Projection Theory, Fluid Dynamics, Navier–Stokes, Regularity

Abstract


This working reference text develops the Source-curvature layer of Coherence Geometry through a detailed fluid realization.

Beginning from primitive amplitude–phase Source geometry, the book develops intrinsic Source currents, exterior curvature, multi-phase and projective geometry, Source-curvature dynamics, and the differential-curvature hierarchy. It then constructs a fluid-active projection and quotient geometry, develops the corresponding Newtonian realization, and returns to the complete Source to examine regularity, projection fibers, and the transfer of Source-level control to finite-order physical observables.

The volume provides the first book of Coherence Geometry Foundations, Volume II: Source Curvature and extends the algebraic, geometric, and physical foundations established in Volume I.

Available Document

Version DOI: https://doi.org/10.5281/zenodo.23056935

Concept DOI / All Versions: https://doi.org/10.5281/zenodo.23056934

Citation:
Petersen, B. L. (2026). Coherence Geometry Foundations, Volume II: Source Curvature, Book I: Source Geometry, Fluid Projection, and Regularity (Version 0.1). Zenodo. https://doi.org/10.5281/zenodo.23056935

The version DOI identifies Version 0.1. The concept DOI identifies the complete Zenodo record family and resolves to the latest published version.

Source Code and Supporting Materials

N/A

Related Work

Title: Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations
Repository: https://doi.org/10.5281/zenodo.20156531
Internal ID: CGI-BKS-0001

Title: Coherence Geometry Foundations, Part II: Physical Projections
Repository: https://doi.org/10.5281/zenodo.20156996
Internal ID: CGI-BKS-0002

Title: Coherence Geometry Foundations, Volume II: Source Curvature, Book II: Projection Archetypes and Structural Realizations
Repository: https://doi.org/10.5281/zenodo.23057737
Internal ID: CGI-BKS-0004

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