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This release aims to consolidate and structure the Electron Inevitability Program's theorem architecture.

May 14, 2026Open Access

Electron Inevitability Program Consolidated Manuscript Set: Three-Part Finite-Window Theorem Architecture, Source-Data Prototype Closure, and Downstream BF-Sector Interfaces, Version v6.0

Key Points

This release aims to consolidate and structure the Electron Inevitability Program's theorem architecture.
Three-part architecture includes finite-window response and gauge-invariant systems.
Consolidates interfaces for source-data, mass-generating components, and charge branch extractions.
Describes mathematical structures without deriving specific electron properties.
Outputs a minimal nonzero electric-charge branch datum based on finite-window response assumptions.
Establishes consolidation of foundational theories and interfaces relevant to electron characteristics.
Identifies remaining mathematical challenges related to gauge identifications and effective coefficients.

Abstract

This record contains Version v6. 0 of the Electron Inevitability Program (EIP) consolidated manuscript set. Version v6. 0 is a post-v5. 7 consolidation release. The fixed public baseline remains EIP Version v5. 7, DOI 10. 5281/zenodo. 20119623. The present release reduces the previous many-paper working record to a three-part theorem-architecture package: 1. Part I: Finite-Window Response, OS-Positive Activation, and Minimal Charge Branch Extraction. 2. Part II: Source-Data Closure, Mass-Generating Floors, and Positive-Threshold/BF Regularity. 3. Part III: Gauge-Invariant BF-Sector Architecture and Downstream Electron-Sector Closure. The proof-dependency spine is: -window response implementation-parametrix gate-positive activation nonzero charge branch\ followed by -data chart-generating source floor-threshold/BF-ready branch BF-sector architecture. \ Part I consolidates the regulator response chart, response-parametrix gate, OS-positive activation theorem, and minimal-branch extraction route. Its output is a minimal nonzero electric-charge branch datum under the stated finite-window response, charge-label, and Gauss-law assumptions. Part II consolidates the source-data, mass-generating, and threshold/BF interface layers. It incorporates the post-v5. 7 source-data prototype closure work, including effective coefficient construction routes, local block-margin gates, five-channel source-defect and quadratic-remainder ledgers, and the mass-generating source-floor export. The source-side local floor is organized around, H^ locₐ, ₓ (1-R^ all (T) ) (1-Y^ all (T) ) ² (yT^ pre) ²\|\|². \ Part III consolidates the downstream gauge-invariant BF-sector proof architecture. It consumes the Part I/II interfaces and organizes the conditional downstream package: gauge-invariant OS foundation, Gauss-law/BF transfer, realistic massless-photon branch structure, inclusive closure, and presentation independence. This v6. 0 release is a consolidation and structural theorem-architecture release. It does not claim a numerical derivation of the electron mass, the identity \ (Mₐ_=mₑ\), spin/chirality/leptonic identification, an unconditional full interacting gauge-Higgs-Yukawa/Osterwalder-Schrader construction, or a full derivation of the Standard-Model electron. The main remaining mathematical burdens are: deriving the regulator and source charts from a full interacting GHY/OS construction; proving the effective coefficient floors and prototype-scale estimates in a concrete finite-window realization; comparing the packet-generated source branch with a larger interacting charged branch; and only afterward addressing physical threshold calibration and electron identification. Author: Lee Byoungwoo (이병우) leeclinic@protonmail. com

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