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

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: \[\text{finite-window response implementation}\Rightarrow\text{response-parametrix gate}\Rightarrow\text{OS-positive activation}\Rightarrow\text{minimal nonzero charge branch}\] followed by \[\text{source-data chart}\Rightarrow\text{mass-generating source floor}\Rightarrow\text{positive-threshold/BF-ready branch}\Rightarrow\text{downstream BF-sector architecture}.\] 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 \[\operatorname{Re}\langle \psi,H^{\rm loc}_{q,T}\psi\rangle\ge(1-\Theta_R^{\rm all}(T))(1-\Theta_Y^{\rm all}(T))^2(y_T^{\rm pre})^2\|\psi\|^2.\] 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 \(M_{q_{\min}}=m_e\), 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) [email protected]