SpiralHelios — Deterministic Geometric Intelligence (DGI): Post-Patch100 File15B Scientific Extension Execution Evidence Archive, Patch101A–Patch110A

This Zenodo release presents the next public-safe execution evidence archive of SpiralHelios — Deterministic Geometric Intelligence (DGI). The release continues directly after SpiralHelios v10, which documented the Patch002–Patch100 deterministic execution evidence archive of SpiralHelios Math Solver v0.5. Version 10 DOI: https://doi.org/10.5281/zenodo.20639008 The present release documents the post-Patch100 File15B scientific extension execution path through Patch101A–Patch110A. In SpiralHelios v10, File15B was included as the post-Patch100 roadmap boundary. In this release, File15B is no longer only a roadmap. Its first post-Patch100 layers have entered documented execution. The release contains: 1 main paper10 supplementary public-safe patch evidence PDFsS100–S109 supplementary mappingPatch101A–Patch110A execution evidenceFile15B re-inclusion as the roadmap-to-execution governance document5 selected main-paper screenshot evidence anchors The supplementary mapping is: S100 = Patch101A — Normalized Laplacian Basic Layer — PASSED_FIXEDS101 = Patch102 — Basic Spectral Properties — PASSEDS102 = Patch103 — Laplacian Eigenvectors & Spectral Embedding — PASSEDS103 = Patch104 — Graph Fourier Transform Basic Layer — PASSEDS104 = Patch105 — Spectral Clustering Certificate Basic Layer — PASSEDS105 = Patch106 — Minimum Spanning Tree Advanced Layer — PASSEDS106 = Patch107A — Bridges & Articulation Router Priority Hotfix — PASSED_FIXEDS107 = Patch108 — Strongly Connected Components — PASSEDS108 = Patch109 — Deterministic Network Centrality Basic Layer — PASSEDS109 = Patch110A — Rayleigh Spectral Bound Key Parser Hotfix — PASSED_FIXED The main paper highlights five architectural evidence anchors: Patch101A — Normalized Laplacian Basic LayerPatch104 — Graph Fourier Transform Basic LayerPatch105 — Spectral Clustering Certificate Basic LayerPatch108 — Strongly Connected ComponentsPatch110A — Rayleigh Spectral Bound Certificate / Parser Hotfix These anchors document the transition from the Patch100 boundary into the File15B post-Patch100 scientific extension path. The release shows normalized Laplacian construction, basic spectral properties, Laplacian eigenvectors and spectral embedding, exact finite Graph Fourier Transform, deterministic spectral clustering certificates, minimum spanning tree execution, bridges and articulation points, strongly connected components, deterministic network centrality, and Rayleigh spectral bound certificate behavior. The central claim is precise: SpiralHelios has entered documented post-Patch100 File15B execution through Patch101A–Patch110A, while preserving deterministic operation, public-safe proof binding, no Core mutation, no ROM mutation, honest unsupported gates, and strict Core Adapter governance. SpiralHelios is not presented as a cloud AI model, stochastic inference engine, training-based system, or big-data pipeline. SpiralHelios is developed as Deterministic Geometric Intelligence: 100% Offline0% Big Data0% Training0% Cloud The broader SpiralHelios architecture is based on protected deterministic geometric computation, Core / ROM separation, Canon discipline, public-safe proof records, Core Adapter governance, external-derived layer control, and strict anti-reconstruction boundaries. This release does not disclose the protected SpiralHelios Core, raw vectors, hidden transforms, private operators, internal state dumps, reconstruction-enabling constants, or implementation material that would allow copying or replication of the protected mechanism. This release does not claim: open-source disclosureimplementation transfercommercial licensequantum hardware executionstochastic simulationmachine-learning trainingcloud inferenceuniversal mathematical omnipotencegeneral numerical spectral eigensolver behaviorautomatic spectral clusteringk-means clusteringML clusteringPageRank execution outside its reserved future layerproof of all future File15B patches The release documents a narrower and auditable milestone: The post-Patch100 File15B roadmap has begun producing public-safe deterministic execution evidence. The protected Core remains undisclosed. The boundary is preserved. The roadmap is becoming executable. Author: Christos Baltas (PH-GAIOS)Architect – Creator – Systems DesignerSpiralEnergy-SystemsAthens, GreeceEmail: info@spiral-code.comORCID: https://orcid.org/0009-0000-9743-3678Zenodo Community: https://zenodo.org/communities/spiral-code-energy/ License / Rights Notice: This release is governed by the custom rights notice titled:“All Rights Reserved – No Implementation, No Derivatives, No AI Training, No Commercial Use.” Full rights terms are included in the rights/license notice of this Zenodo record and in the legal section of the main paper.