SpiralHelios — Deterministic Geometric Intelligence (DGI) v14: Advanced Spectral Laplacian + QASM Binding — A Public-Safe Deterministic Evidence Architecture for Spectral Graph Theory, Rayleigh, Graph Fourier, Partition Integrity, and Proof-Bound Symbolic Circuit Packets
Christos Baltas · Zenodo (CERN European Organization for Nuclear Research) · 2026
SpiralHelios v14 presents the public-safe execution evidence release for Patch131–Patch140 of SpiralHelios Math Solver v0.5, documenting the completion of the Advanced Spectral Laplacian + QASM Binding block. This release continues directly after SpiralHelios v13, which documented Patch124–Patch130 and completed the first File15C QASM Bell Market-Ready External Adapter Block. Version 10 documented Patch002–Patch100: https://doi.org/10.5281/zenodo.20639008 Version 11 documented Patch101A–Patch110A: https://doi.org/10.5281/zenodo.20689308 Version 12 documented Patch111–Patch123: https://doi.org/10.5281/zenodo.20772098 Version 13 documented Patch124–Patch130: https://doi.org/10.5281/zenodo.20969765 The present v14 release documents the next executed range: Patch131 through Patch140. It also includes Patch132A as hotfix evidence. The v14 archive contains: 1 main paper11 supplementary public-safe patch evidence PDFsS130–S139 supplementary mappingS131A hotfix evidencePatch131–Patch140 execution evidencePatch132A hotfix evidence9 selected main-paper screenshot evidence anchorspublic-safe HASH_RECORD.txt evidencepublic-safe PASSED / PASSED_FIXED TXT evidencepublic supplementary indexno-license / anti-reconstruction notice The documented patch range is: S130 — Patch131 Spectral-QASM Binding Packet Schema Basic — PASSEDS131 — Patch132 Spectral Certificate Registry / Cross Reference External Binding — PASSEDS131A — Patch132A Spectral Certificate Registry Forbidden Result Router Hotfix — PASSED_FIXEDS132 — Patch133 Laplacian QASM Graph-State Binding Validator — PASSEDS133 — Patch134 Cheeger Spectral Gap Binding Audit Pack — PASSEDS134 — Patch135 Rayleigh QASM Binding Certificate — PASSEDS135 — Patch136 Graph Fourier QASM Binding Certificate — PASSEDS136 — Patch137 Spectral Embedding QASM Binding Certificate — PASSEDS137 — Patch138 Spectral Partition Cut QASM Binding Certificate — PASSEDS138 — Patch139 Spectral-QASM Cross-Packet Integrity Audit — PASSEDS139 — Patch140 Advanced Spectral Laplacian + QASM Binding Manifest — PASSED This release documents a controlled deterministic progression: Spectral-QASM binding packet schemaspectral certificate registry and cross-reference bindingforbidden-result router hotfix and regression preservationLaplacian QASM graph-state binding validationCheeger and spectral-gap audit packet bindingRayleigh certificate bindingGraph Fourier certificate bindingspectral embedding certificate bindingspectral partition/cut certificate bindingcross-packet integrity auditfinal Advanced Spectral Laplacian + QASM Binding manifestrelease proof packetsupported / unsupported operation matrixpublic-safe HASH_RECORD and PASSED evidenceroadmap continuation toward Patch200File15C execution continuation through Patch140 The core result is precise: SpiralHelios v14 documents the completion of a deterministic, symbolic, public-safe, external-derived, non-core-canonical, Core-Adapter-bound Advanced Spectral Laplacian + QASM Binding block. The protected SpiralHelios Core remains undisclosed. The release documents operation, not reconstruction. The v14 release does not disclose executable source code, patch source code, router-chain implementation, private operators, raw Ψ vectors, hidden transforms, protected G construction, private constants, private lookup tables, private parser/router logic, private test corpus, or reconstruction-enabling materials. The release includes a public-safe mathematical observability note for: protected normalized internal state ΨGolden Eigen Index GEIapproved scalar observablesdigest-bound proof fieldspublic-safe proof packet structuredeterministic evidence invarianceexternal-derived Spectral/Laplacian/QASM packet classification The release does not claim: quantum hardware executionbackend executioncloud quantum executionphysical quantum measurementshot-count resultprobability resultstochastic samplingquantum advantagestate-vector simulationunitary simulationvendor transpilationphysical spectral measurementspectral eigensolver execution as a hidden backendfloating Fourier execution as a hidden backendAI model trainingneural inferencecloud computationCore mutationROM mutationunrestricted mathematical solvinggeneral theorem proving Instead, the release documents deterministic symbolic and structural behavior: Spectral-QASM packet identityLaplacian graph-state bindingCheeger / spectral-gap audit metadataRayleigh certificate bindingGraph Fourier certificate bindingspectral embedding certificate identityspectral partition/cut certificate identitycross-packet integrity validationdigest-governed proof packetspublic-safe Core Adapter proof bindingsupported / unsupported gate disciplineanti-reconstruction boundary preservation SpiralHelios is developed as Deterministic Geometric Intelligence: 100% Offline0% Big Data0% Training0% Cloud The publication is intended for scientific reading, academic analysis, technical evaluation, enterprise review, intellectual-property timestamping, and public-safe audit of the SpiralHelios execution evidence chain. No implementation rights, derivative rights, AI-training rights, commercial rights, reverse-engineering rights, reconstruction rights, redistribution rights, or integration rights are granted. The protected Core remains undisclosed. The boundary is preserved. The evidence chain continues. The Advanced Spectral Laplacian + QASM Binding block is complete through Patch140. The Quantum Geometer advances. © 2026 Christos Baltas (PH-GAIOS). All Rights Reserved – All Rights Holders. 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: [email protected]: 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, in the no-license notice, and in the legal section of the main paper.