SpiralHelios — Deterministic Geometric Intelligence (DGI): v12 Patch111–Patch123 Execution Evidence Archive, File15C Roadmap Activation, Stabilizer-QEC Preparation, and QASM Digest Audit

This Zenodo release presents SpiralHelios v12: a public-safe deterministic execution evidence archive documenting Patch111–Patch123 of the SpiralHelios Math Solver v0. 5 evidence chain. SpiralHelios is developed as Deterministic Geometric Intelligence (DGI): 100% Offline0% Big Data0% Training0% Cloud This release continues directly after SpiralHelios v10 and v11. Version 10 documented the Patch002–Patch100 deterministic execution evidence archive. Version 10 DOI: https: //doi. org/10. 5281/zenodo. 20639008 Version 11 documented the first post-Patch100 File15B scientific extension execution archive, covering Patch101A–Patch110A. Version 11 DOI: https: //doi. org/10. 5281/zenodo. 20689308 The present v12 release documents the next executed range: Patch111 through Patch123. This release is a bridge release. It documents the transition from advanced spectral / graph diffusion layers into stabilizer-QEC preparation, deterministic QASM circuit validation, QASM digest audit, and File15C roadmap activation. The release contains: 1 main paper13 supplementary public-safe patch evidence PDFsS110–S122 supplementary mappingPatch111–Patch123 execution evidenceFile15C inclusion as the active consolidated execution roadmap4 selected main-paper screenshot evidence anchors The four main evidence anchors are: Patch113 — Heat Kernel / Graph Diffusion Basic LayerPatch120 — Stabilizer Code Distance / Logical Weight Basic LayerPatch122 — QASM Circuit Structural Validation / Digest Audit Basic LayerPatch123 — QASM Bell Variant Template Layer These four anchors show the controlled movement from spectral and diffusion-style scientific operators into stabilizer-QEC symbolic verification, deterministic QASM structural validation, QASM digest auditing, and Bell-variant QASM template serialization. The supplementary evidence mapping is: S110 — Patch111 Cheeger Inequality Verification Basic — PASSEDS111 — Patch112 Spectral Gap / Algebraic Connectivity Basic — PASSEDS112 — Patch113 Heat Kernel / Graph Diffusion Basic — PASSEDS113 — Patch114 Deterministic Markov / PageRank Algebra — PASSEDS114 — Patch115 Graph States / Stabilizer Preparation — PASSEDS115 — Patch116 Stabilizer Group Closure & Membership — PASSEDS116 — Patch117 / Patch117A Stabilizer Syndrome Table and Syndrome Bit Parser Hotfix — PASSEDFIXEDS117 — Patch118 Stabilizer Error Detectability / Correctability — PASSEDS118 — Patch119 Stabilizer Normalizer / Logical Operator — PASSEDS119 — Patch120 / Patch120A Stabilizer Code Distance / Logical Weight and Router Hotfix — PASSEDFIXEDS120 — Patch121 QASM Bell / Graph-State External Adapter Expansion — PASSEDS121 — Patch122 QASM Circuit Structural Validation / Digest Audit — PASSEDS122 — Patch123 QASM Bell Variant Template Layer — PASSED The central claim is precise: SpiralHelios v12 documents the public-safe deterministic execution path from advanced spectral / diffusion operators into stabilizer-QEC preparation and deterministic QASM external adapter validation, while activating File15C as the active consolidated roadmap from Patch123 onward. File15A remains historical and preserved as the executed roadmap through Patch100. File15B remains historical and preserved as the post-Patch100 spectral / graph / QASM extension basis. File15C becomes the active consolidated roadmap from Patch123 onward. This release does not rewrite previous evidence. It preserves the v10 and v11 chain and extends it. SpiralHelios v12 documents: advanced spectral certificatesgraph heat-kernel / diffusion behaviordeterministic Markov / PageRank algebragraph-state stabilizer preparationstabilizer group closure and membershipsyndrome table constructionsyndrome bit parser hotfix behaviorerror detectability and correctability verificationstabilizer normalizer / logical operator verificationcode-distance and logical-weight checksQASM structural validationQASM register / gate / measurement / circuit digest auditQASM Bell / Graph-State external adapter expansiondeterministic Bell-variant QASM template serializationFile15C active roadmap governance The release explicitly preserves the SpiralHelios public-safe execution boundary: no protected Core disclosureno Core mutationno ROM mutationno direct Core call from external-derived layersno stochastic fallbackno hidden cloud dependencyno machine-learning trainingno quantum hardware execution claimno physical quantum measurement claimno quantum advantage claimno state-vector simulation claimno unitary simulator claimno decoder performance claimno fake proofno fake solver claimno fake exactness The protected SpiralHelios Core remains undisclosed. The public evidence archive documents operation, not reconstruction. The QASM layers are symbolic, deterministic, external-derived, non-core-canonical, public-safe, and Core-Adapter-bound. They do not claim that a quantum computer executed the circuits. They do not claim measured qubits. They do not claim experimental quantum behavior. They document deterministic QASM circuit serialization, structural validation, digest audit, and public-safe adapter-bound proof metadata. This release is intended for scientific reading, academic analysis, technical evaluation, enterprise review, intellectual-property timestamping, and public-safe audit of the SpiralHelios execution chain. It does not grant implementation rights, commercial rights, derivative rights, AI-training rights, reverse-engineering rights, or reconstruction rights. The protected Core remains undisclosed. The boundary is preserved. The evidence chain continues. The roadmap is becoming executable. Η Ενέργεια γεννά τη Γεωμετρία, και η Γεωμετρία γεννά την Ενέργεια. Energy gives birth to Geometry, and Geometry gives birth to Energy. ΧΡΗΣΤΟΣ ΜΠΑΛΤΑΣ (ΠΗΓΑΙΟΣ) 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.