This record freezes corrected implementation v0.1.1 of the deterministic One-Click execution engine for HLV-DS-SPEC-001R. The controlling scientific recovery protocol remains unchanged: Krūger, M. (2026). HLV-DS-SPEC-001R: Prospective Recovery of the Native 6D-to-3D Carrier Spectral-Specificity Gate After Q-Control Capacity Stop — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI 10.5281/zenodo.22162097. The purpose of implementation v0.1.1 is strictly technical: it removes a severe runtime bottleneck in the R-family continuity-replay stage of implementation v0.1.0 without changing the scientific hypothesis, target, null families, random seeds, spectral observables, thresholds, scoring rules, control-capacity rules, or machine-verdict logic. The identified bottleneck arose because implementation v0.1.0 performed two Python bidirectional graph-connectivity searches after essentially every accepted R-family double-edge swap. For the locked DG-001 target with N1 = 5345 edges, the frozen R procedure requires 50 × N1 = 267250 accepted swaps per replicate. Across 31 R replicates this corresponds to 8284750 accepted swaps and approximately 16.6 million Python reachability searches. This produced an implementation-level runtime stall in Google Colab before the scientific spectral evaluation was reached. Corrected implementation v0.1.1 replaces only this per-proposal connectivity-validation mechanism with a deterministic parent-certified replay. The corrected replay: - uses the identical PCG64 seed sequence; - consumes the same proposal stream; - preserves the same shared-endpoint, self-loop, and duplicate-edge rejection rules; - preserves the same accepted-swap target; - preserves the exact vertex-degree sequence; - performs an independent final connectivity check; - and, critically, requires the final sparse B1 matrix of every R replicate to be exactly equal to the corresponding already-public frozen parent R matrix. Any mismatch causes the recovery continuity gate to fail before any spectral calculation is allowed. During preparation of this corrected implementation, all 31 frozen R replicates were replayed and compared against the archived parent controls. Result: 31 / 31 exact sparse-matrix matches. This validation establishes implementation equivalence for the corrected R replay under the frozen parent controls. It is a technical implementation result only and is not a DS-SPEC-001R scientific result. No target QSPEC or RRESP spectral signature, target-control distance, family score, recovery verdict, or final carrier-specificity result was computed in preparing this corrected freeze. The complete scientific control bank remains frozen before spectral evaluation and retains the same load-bearing families: R — deterministic parent-continuity degree-preserving rewires; Q — capacity-matched random 6D-to-3D projection controls; W — capacity-matched altered-window controls; IRR — matched irrational-factor controls. The corrected implementation does not alter the Q recovery extension, Q candidate ceiling, W or IRR generation, accepted-control counts, spectral signatures, normalization, score construction, thresholds, or verdict logic. Visible flushed progress reporting has been added so that Colab now reports progress during R replay, Q-prefix reproduction, Q recovery extension, W and IRR generation, and the subsequent spectral evaluation. This reporting has no effect on scientific calculations. The implementation remains deterministic and self-contained. The One-Click notebook embeds the frozen upstream artifacts, reconstructs them with SHA-256 verification, requires no Google Drive mount, and preserves the lock-before-outcome execution order. Technical validation performed before this freeze includes exact replay of all 31 frozen R-family parent controls. No outcome-bearing target spectral calculation was inspected. Corrected implementation artifact identities: Corrected One-Click notebook SHA-256: 4b713ee16a754e4366952616e965186ad41fc54567971f3f560c3e5635126fae Corrected scientific engine SHA-256: e86a8f4f55bb8fd2ad99d0dd713ab109ac97bd6db6aac2ecabaa0de8409d8b0d Corrected implementation-freeze package SHA-256: 6cd34b01c5cd8f6ec51f3d6f2652656695ca0876c9edbb4a15f4564b4e28d42e This v0.1.1 record supersedes implementation v0.1.0 only with respect to the R-family runtime implementation and progress reporting. It does not supersede or modify the controlling DS-SPEC-001R scientific recovery protocol. After publication of this exact implementation freeze, the prescribed next action is to open the archived corrected One-Click notebook in Google Colab and execute Runtime → Run all once without editing any scientific cell, payload, seed, null-family rule, threshold, score, or verdict condition. The resulting locked scientific result archive and its printed SHA-256 must be preserved unchanged regardless of whether the final outcome is PASS, FAIL, or INCONCLUSIVE. A later PASS would support only the finite carrier spectral-specificity claim defined by the controlling frozen DS-SPEC-001R protocol and its declared null ensemble. It would not establish spacetime, gravity, Standard-Model recovery, particle masses, dark matter, dark energy, physical selection of the golden ratio, or experimental validation.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains the prospectively frozen scientific protocol for HLV-R-MECH-001, a mechanism-focused successor test motivated by the surviving degree-preserving rewire residual observed in earlier HLV specificity studies. HLV-R-MECH-001 is not a retry of full HLV carrier specificity. The previously published DS-SPEC-001R overall verdict remains permanently: DSSPEC001R_FAIL_PARTIAL_SIGNATURE_OR_FAMILY_ONLY The purpose of the present protocol is narrower: to test whether the previously observed R-family graph-spectral separation reproduces under fresh degree-preserving controls at matched structural perturbation depth, and whether that separation collapses when the exact target triangle count is additionally preserved. The protocol is motivated by an explicitly exposed exploratory result from HLV-R-MECH-DISC-001. For the DG-001 target: N0 = 1110 N1 = 5345 N2 = 6960 graph triangle count = 6960 The exploratory analysis verified that the complete set of 6960 graph triangles is exactly identical to the set of 6960 DG-001 two-cell face vertex-triples. By contrast, the earlier degree-preserving DS-SPEC R controls contained on average only approximately 285.74 triangles, corresponding to a mean retention of about 4.1% of the target triangle count. This exposed observation is not treated as confirmatory evidence. It is used only to define the new prospectively frozen mechanism question. The protocol defines two fresh control families. R_DEG: fresh degree-preserving rewires that preserve - the exact labelled target degree sequence; - N0 = 1110; - N1 = 5345; - graph simplicity; - connectivity; - and a frozen edge-replacement fraction between 0.40 and 0.45. The global triangle count is not constrained in R_DEG. R_TRI: fresh degree-preserving rewires that preserve all R_DEG constraints and additionally preserve the exact global triangle count T = 6960. Both families require 31 accepted controls. The two families are also required to have matched perturbation depth: the absolute difference between their median edge-replacement fractions may not exceed 0.02. If that condition fails, no spectral mechanism inference is permitted. The mathematical motivation is especially strong because for a simple graph with graph Laplacian L = D - A, the following exact identities hold: Tr(L) = sum_i d_i Tr(L^2) = sum_i d_i^2 + sum_i d_i Tr(L^3) = sum_i d_i^3 + 3 sum_i d_i^2 - 6T. Therefore degree preservation fixes the first two raw Laplacian moments, while simultaneous degree and exact triangle preservation also fixes the third raw Laplacian moment. Accordingly, every accepted R_TRI control matches the target in Tr(L), Tr(L^2), and Tr(L^3) exactly. This does not imply matching of the full spectrum, lambda_max, scale-quotiented eigenvalue distribution, QSPEC, or RRESP. The primary spectral observables are inherited unchanged from the published DS-SPEC-001R recovery protocol: Krūger, M. (2026). HLV-DS-SPEC-001R: Prospective Recovery of the Native 6D-to-3D Carrier Spectral-Specificity Gate After Q-Control Capacity Stop — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI 10.5281/zenodo.22162097. The two frozen primary signatures are: QSPEC and RRESP. No new spectral feature is selected from the exposed R-MECH discovery result. For each family and signature, the target must satisfy all of the following to obtain a signature PASS: 1. target distance must exceed the maximum leave-one-out control distance; 2. the robust target-to-control margin must be at least 1.50; 3. at least two of the three prospectively frozen spectral bands must exceed the corresponding maximum leave-one-out band distance. A family PASS requires both QSPEC and RRESP to pass. The primary mechanism verdicts are frozen as follows. RMECH001_PASS_TRIANGLE_MATCH_COLLAPSE_PATTERN requires: R_DEG family PASS and R_TRI QSPEC FAIL and R_TRI RRESP FAIL. This result would support the conclusion that exact global triangle matching removes the previously observed robust R-family spectral separation under the frozen generator and perturbation-depth contract. It would not prove that triangle count alone is the unique causal invariant, because triangle preservation may simultaneously preserve correlated local structure. RMECH001_FAIL_TRIANGLE_SUFFICIENCY_RESIDUAL_SURVIVES requires: R_DEG family PASS and R_TRI family PASS. This result would show that degree sequence plus exact global triangle count are insufficient to eliminate the surviving R-family spectral residual. It would motivate stronger successor controls involving local triangle profiles, short cycles, graph motifs, or higher-order incidence structure. RMECH001_PARTIAL_SIGNATURE_DEPENDENCE_AFTER_TRIANGLE_MATCH is returned if R_DEG passes but exactly one of the two R_TRI signatures passes. If the fresh R_DEG family does not reproduce the previous degree-preserving separation, the result is: RMECH001_INCONCLUSIVE_FRESH_RDEG_BASELINE_NOT_REPRODUCED. Additional frozen inconclusive states cover insufficient control capacity, rewiring-depth mismatch, numerical audit failure, source mismatch, or protocol invalidation. The control-generation process is fully prospectively specified. R_DEG seeds are generated from: seed = 730100000 + offset for offsets 0 through 127. R_TRI seeds are generated from: seed = 730200000 + offset for offsets 0 through 127. Candidates are evaluated in increasing offset order, and the first 31 structurally admissible controls are accepted. If fewer than 31 controls are accepted in either family by offset 127, the run becomes inconclusive for control capacity. Previously exposed pilot and development seeds are permanently excluded from confirmatory use. A hard feature firewall is part of the protocol. No eigenvalue, lambda_max, QSPEC, RRESP, spectral band, target-control distance, leave-one-out score, or scientific mechanism verdict may be computed until both complete 31-member structural control banks have been: - generated; - structurally validated; - written to disk; - and hash-fixed. Control admission therefore cannot depend on spectral information. The protocol also freezes numerical identity and eigensolver checks, including trace identities, Frobenius consistency, connected-graph zero-mode checks, nonnegative-spectrum tolerance, and cross-solver eigenvalue audits on the target and selected controls. Secondary diagnostics are declared in advance but are non-load-bearing. These include: - triangle count and transitivity; - average clustering; - per-vertex triangle-count distribution; - four-cycle count; - degree assortativity; - k-core summaries; - Tr(L^4)/N; - lambda_2; - lambda_max. They may be inspected only after the structural control banks are frozen and may not alter the primary verdict. Controlling provenance: DG-001 locked results: DOI 10.5281/zenodo.22107618 DS-SPEC-001R recovery protocol: DOI 10.5281/zenodo.22162097 DS-SPEC-001R corrected implementation freeze: DOI 10.5281/zenodo.22164304 DS-SPEC-001R locked results: DOI 10.5281/zenodo.22165100 HLV Mathematical Core v2.1.4: DOI 10.5281/zenodo.22165745 The pre-freeze technical triangle-preserving pilot produced 12/12 structurally valid controls, each preserving the exact target degree sequence and exact triangle count T = 6960 while replacing approximately 41.3%–42.5% of target edges. No QSPEC, RRESP, spectral-specificity score, or scientific mechanism verdict was calculated during that pilot. The pilot is therefore treated strictly as technical feasibility evidence. HLV-R-MECH-001 does not test or establish: - unique HLV geometry; - physical selection of the golden ratio; - a unique 6D-to-3D microscopic substrate; - spacetime; - extra dimensions; - particle masses; - an absolute HLV energy scale; - gauge interactions; - gravity; - dark matter; - dark energy; - cosmology; - or experimental validation. The allowed scientific claim is narrower: HLV-R-MECH-001 prospectively tests whether the previously observed degree-preserving graph-spectral residual can be explained, removed, or further localized by exact matching of the target's global triangle/face count while controlling perturbation depth. Any stronger interpretation requires a separately frozen successor experiment.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
