HLV-DS-SPEC-001: Deterministic One-Click Carrier Spectral and Dimensionless Resonance-Response Engine — Implementation Freeze v0.1.0

Abstract

HLV-DS-SPEC-001 Implementation Freeze v0.1.0 freezes the deterministic executable implementation for the prospective Native 6D→3D Carrier Spectral and Dimensionless Resonance-Response Specificity Gate in the HLV carrier-state dark-sector programme. The controlling scientific protocol is: Krūger, M. (2026). HLV-DS-SPEC-001: Native 6D→3D Carrier Spectral and Dimensionless Resonance-Response Specificity Against Matched R/Q/W/IRR Nulls — Corrected Pre-Execution Protocol Freeze v0.1.1. Zenodo. DOI: 10.5281/zenodo.22160655. The original protocol v0.1.0, DOI 10.5281/zenodo.22160391, remains part of the immutable provenance record but is superseded by corrected protocol v0.1.1. This implementation freeze was completed before the first scientific DS-SPEC-001 target/control spectral evaluation. During implementation preparation, only synthetic graph tests, synthetic scorer and capacity tests, source-integrity checks, and the prospectively specified IRR golden-basis alignment were evaluated. No HLV target/control QSPEC signature, RRESP curve, target-control distance, family score, or DS-SPEC-001 scientific verdict was computed or inspected during preparation of this implementation freeze. The scientific target is the locked DG-001 finite carrier 1-skeleton, represented through the exact incidence-derived graph Laplacian L0 = B1 B1^T. All active eigenvalues are normalized by the upper spectral edge before evaluation. Therefore no absolute energy, length, time, eV/GeV mass scale, dark-photon mass, or Kaluza–Klein interpretation enters the computation. Two primary frozen signatures are implemented: 1. QSPEC — a 64-component empirical quantile representation of the active normalized graph spectrum. 2. RRESP — a 129-component dimensionless Lorentzian regularized spectral-response representation with fixed gamma = 1/64. RRESP is strictly a mathematical representation of a finite graph spectrum. It is not a measured physical frequency response, particle resonance, Kaluza–Klein tower, dark-photon spectrum, or compactification spectrum. The implementation generates four frozen null families with 31 accepted controls per family: R — exact degree-preserving abstract graph rewires; Q — matched random 6D→3D projection controls; W — matched altered-window cut-and-project controls; IRR — matched alternative-irrational 6D→3D cut-and-project hosts. The R family preserves the complete target vertex-degree sequence and graph connectedness exactly. Q and W use the byte-frozen DG-002 geometric-control implementation and corrected source rank-3-cell capacity-matching semantics. IRR uses the prospectively frozen alternative-irrational projector family together with a fixed, spectrum-independent basis alignment that reproduces the controlling golden projector basis at r = phi to numerical precision. A load-bearing feature firewall is implemented: the complete structurally accepted R/Q/W/IRR control bank is generated, canonicalized, stored as sparse incidence matrices, and SHA-256 hashed before any target or control QSPEC/RRESP calculation occurs. Consequently, spectral information cannot influence control acceptance, ordering, or replacement. For each family and each signature, the implementation applies the frozen confirmatory rules: - target distance must exceed the strict maximum leave-one-out control distance; - the frozen target-to-null margin must be at least 1.50; - at least two of three prospectively defined spectral sub-bands must separately exceed the corresponding maximum leave-one-out control distance. A family passes only if both QSPEC and RRESP pass. The overall HLV-DS-SPEC-001 PASS requires all four families — R, Q, W, and IRR — to pass. Eight load-bearing family/signature tests are therefore evaluated. The frozen machine verdict semantics distinguish complete PASS, complete absence of specificity, partial family/signature survival, and numerical/control-capacity inconclusiveness. Synthetic-only implementation validation passed before freezing. This included analytic graph-spectrum checks, independent QSPEC and RRESP formula checks, scorer validation, degree-preserving connected R rewiring, exact synthetic capacity matching, and IRR golden-basis alignment. These tests have status: TECHNICAL_IMPLEMENTATION_CHECK_ONLY__NOT_A_DSSPEC001_RESULT The package includes the deterministic scientific engine, vendored DG-002 control engine, corrected protocol package, locked DG-001 target archive, machine-readable frozen specifications, source provenance, SHA-256 manifests, technical validation report, and the exact One-Click Locked Colab notebook. The One-Click notebook requires no Google Drive mount and freezes the numerical environment and scientific execution path. The scientific run is permitted only after this exact implementation-freeze package has been publicly archived. A later PASS would establish only finite C2-level specificity of the frozen scale-quotiented graph spectrum and dimensionless regularized response against the declared R/Q/W/IRR null ensemble. It would not establish dark matter, physical extra dimensions, Kaluza–Klein states, dark photons, particles, an absolute mass or energy scale, a stress-energy tensor, electromagnetic invisibility, gravity, halo dynamics, cosmology, or observational validation. A later FAIL would reject only this geometry-only graph-spectral route as evidence for HLV-specific internal mode structure under the frozen null ensemble. Independently justified state, action, orientation, gauge, or continuum hypotheses would require separate prospective freezes. After public archival of this implementation freeze, the next permitted action is one unchanged execution of the exact frozen One-Click Colab on the target and R/Q/W/IRR controls, followed by preservation and publication of the locked scientific result regardless of outcome.