This record contains the corrected deterministic implementation freeze for HLV-R-MECH-001. The controlling scientific protocol is: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 The public predecessor implementation is: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Implementation Freeze v0.1.0 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22166434 Version v0.1.1 corrects only the numerical-runtime bootstrap of the One-Click Colab launcher. The first locked execution under v0.1.0 terminated before any scientific evaluation because the assigned Google Colab runtime exposed: NumPy 2.1.3 SciPy 1.16.3 while the frozen scientific implementation requires: NumPy 2.3.5 SciPy 1.17.0. The resulting machine state was: RMECH001_INCONCLUSIVE_NUMERICAL with spectral_computation_started = false. Therefore the stopped execution did not evaluate the confirmatory R_DEG or R_TRI spectra, did not compute target QSPEC or RRESP scores, and did not produce a scientific HLV-R-MECH-001 mechanism verdict. The scientific engine itself has not been changed. The v0.1.1 launcher contains the exact byte-identical scientific engine used in public implementation freeze v0.1.0. Frozen scientific engine SHA-256: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The corrected launcher now performs the following runtime bootstrap before starting the unchanged scientific engine: 1. inspect the assigned host numerical environment; 2. if the host already provides exactly NumPy 2.3.5 and SciPy 1.17.0, use that environment directly; 3. otherwise create an isolated Python virtual environment; 4. install exact binary versions: NumPy 2.3.5 SciPy 1.17.0; 5. verify the installed versions explicitly; 6. verify the embedded scientific-engine SHA-256; 7. only after these checks execute the unchanged frozen HLV-R-MECH-001 scientific engine. The correction occurs entirely outside the scientific engine. No scientific rule has been modified. In particular, v0.1.1 does not change: - the DG-001 target; - the target graph identity; - the R_DEG control family; - the R_TRI control family; - confirmatory seed streams; - candidate ordering; - accepted-swap counts; - proposal caps; - structural admission rules; - the 40–45% edge-replacement-depth requirement; - the 31-control family size; - exact degree-sequence preservation; - exact global triangle preservation T = 6960 in R_TRI; - the between-family rewiring-depth gate; - QSPEC; - RRESP; - spectral bands; - leave-one-out scoring; - the robust-margin threshold; - numerical scientific hard gates; - or scientific machine-verdict logic. The frozen mechanism design therefore remains identical to the controlling protocol DOI 10.5281/zenodo.22166283. The two confirmatory control families remain: R_DEG: fresh degree-preserving structural rewires of the fixed DG-001 target graph. R_TRI: fresh rewires preserving both the exact labelled target degree sequence and the exact global triangle count T = 6960. Each family requires 31 accepted controls. The structural firewall remains unchanged: the complete R_DEG and R_TRI control banks must be generated, structurally validated, written to disk, and hash-fixed before any confirmatory spectral calculation is permitted. No control may be admitted or rejected using eigenvalues, QSPEC, RRESP, spectral-band distances, target-control scores, or scientific verdict information. The corrected implementation was validated only with burned development seeds and synthetic numerical checks. Correction validation confirmed: - exact protocol verification: PASS; - NumPy 2.3.5 / SciPy 1.17.0 environment validation: PASS; - burned R_DEG generation: PASS; - exact labelled degree-sequence preservation: PASS; - burned R_TRI generation with 10,000 accepted swaps: PASS; - exact triangle preservation T = 6960: PASS; - connectivity: PASS; - approximately 40–45% edge replacement: PASS; - deterministic replay: PASS; - synthetic QSPEC/RRESP implementation checks: PASS. No confirmatory HLV-R-MECH-001 seed stream was used during correction validation. No confirmatory target spectrum was computed. No confirmatory target QSPEC or RRESP score was computed. No scientific HLV-R-MECH-001 verdict was generated. The corrected One-Click notebook SHA-256 is: e8d1f516bc7a600039b44a7f2de8bdf5ecdc51a739d39aaf1e839d97d7e4bc95 The corrected implementation-freeze PDF SHA-256 is: e75aee3a4c790fefafda41aee93c6c267c814b66739bd1070355b519eb98452c The corrected implementation package SHA-256 is: d6e2d6ef3bf0b315bcbf7270c3be591bca28b7c13ef5730af30cb9bbead70b0f The unchanged scientific engine SHA-256 is: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 This record supersedes implementation freeze v0.1.0 only with respect to numerical-environment bootstrapping. It does not supersede or alter the scientific protocol. HLV-R-MECH-001 remains a finite graph-mechanism test. Neither this corrected implementation nor any later HLV-R-MECH-001 result can by itself establish unique HLV geometry, physical selection of the golden ratio, extra dimensions, spacetime, particle physics, an absolute energy scale, gravity, dark matter, dark energy, cosmology, or experimental validation. The purpose of this corrected implementation freeze is solely to ensure that the prospectively frozen scientific engine can execute in a numerically reproducible environment despite changes in the externally assigned Colab runtime.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains Corrected Implementation Freeze v0.1.2 for HLV-R-MECH-001. The controlling scientific protocol remains: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 The public corrected predecessor implementation is: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Corrected Implementation Freeze v0.1.1 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22170138 Version v0.1.2 corrects only the numerical-runtime bootstrap of the One-Click Colab launcher. The scientific engine itself is unchanged and remains byte-identical to the engine used in the earlier implementation freezes. Frozen scientific engine SHA-256: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The need for v0.1.2 arose after the v0.1.1 launcher correctly detected that the assigned Colab host environment did not match the frozen numerical environment but then failed during creation of an isolated Python virtual environment. The v0.1.1 execution stopped before the scientific engine began. Therefore no confirmatory HLV-R-MECH-001 spectrum was evaluated, no target QSPEC or RRESP score was computed, and no scientific mechanism verdict was exposed. The exact lower-level cause of the managed Colab virtual-environment failure is not asserted beyond the observed failure at the venv-creation stage. Version v0.1.2 removes dependence on Python venv. The corrected runtime bootstrap now operates as follows: 1. reconstruct and SHA-256 verify the byte-identical frozen scientific engine; 2. inspect the assigned host NumPy and SciPy versions; 3. if the host environment already provides the exact frozen versions, use that environment directly; 4. otherwise install exact binary packages NumPy 2.3.5 and SciPy 1.17.0 into a private target directory using pip --target; 5. launch a fresh Python subprocess with the private target directory placed first on PYTHONPATH; 6. verify that the subprocess reports exactly NumPy 2.3.5 and SciPy 1.17.0; 7. verify that both NumPy and SciPy are physically imported from the private target directory; 8. only after those checks execute the unchanged frozen HLV-R-MECH-001 scientific engine. This correction is restricted entirely to the external runtime-bootstrap layer. No scientific element of HLV-R-MECH-001 is changed. In particular, v0.1.2 does not modify: - the DG-001 target identity; - the target graph; - the R_DEG family; - the R_TRI family; - the confirmatory seed streams; - candidate ordering; - accepted-swap counts; - proposal caps; - structural admission criteria; - exact degree-sequence preservation; - exact triangle-count preservation T = 6960 in R_TRI; - the 40–45% edge-replacement-depth requirement; - the 31-control family size; - the between-family rewiring-depth gate; - QSPEC; - RRESP; - spectral-band definitions; - leave-one-out scoring; - the robust-margin threshold; - numerical scientific hard gates; - or scientific verdict logic. The prospective mechanism design therefore remains exactly the design specified by DOI 10.5281/zenodo.22166283. The two confirmatory control families remain: R_DEG: fresh degree-preserving structural rewires of the fixed DG-001 target graph. R_TRI: fresh rewires preserving both the exact labelled target degree sequence and the exact global target triangle count T = 6960. Each family requires 31 accepted controls. The scientific structural firewall is also unchanged. The complete R_DEG and R_TRI control banks must be generated, structurally validated, written to disk, and hash-fixed before any confirmatory spectral evaluation may begin. No control may be admitted or rejected using eigenvalues, QSPEC, RRESP, target-control spectral distances, band scores, or scientific verdict information. The primary signatures remain the prospectively frozen QSPEC and RRESP observables inherited from the DS-SPEC-001R chain. The underlying mechanism motivation also remains unchanged. For a simple graph Laplacian L = D - A, 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. Thus the R_TRI controls match the target exactly in the first three raw Laplacian spectral moments through simultaneous preservation of the exact degree sequence and exact global triangle count T = 6960. This does not imply matching of the complete spectrum, lambda_max, QSPEC, RRESP, local triangle structure, four-cycle structure, or higher-order incidence organization. The v0.1.2 correction does not inspect or optimize any of those scientific outcomes. No confirmatory seed stream was used while preparing this correction. No confirmatory target spectrum was computed. No confirmatory QSPEC or RRESP score was computed. No scientific HLV-R-MECH-001 verdict was generated during correction preparation. The corrected v0.1.2 One-Click notebook SHA-256 is: c360d318d97575b56d8fb65327bfd4cb34255325fa2d5509794311d5fa5622cf The corrected implementation-freeze PDF SHA-256 is: fb826a84eee955236c8922559ceeb8e2587854b3c8d9ef5b539a3bb0695469a2 The unchanged scientific engine SHA-256 is: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The complete corrected implementation package SHA-256 is: 724837c73506bbd001082d9b9b6aec0412304fd467ed55c3705c70d59acd719b This record supersedes corrected implementation freeze v0.1.1 only with respect to the runtime-bootstrap mechanism. It does not alter or supersede the scientific protocol. HLV-R-MECH-001 remains a finite graph-mechanism test within the Helix–Light–Vortex Framework (HLV), positioned as a Cut-and-Project and Incidence-Spectral Research Programme. Neither this corrected implementation nor any later HLV-R-MECH-001 result can by itself establish unique HLV geometry, physical selection of the golden ratio, extra dimensions, spacetime, particle physics, an absolute energy scale, gravity, dark matter, dark energy, cosmology, or experimental validation. The sole purpose of this corrected implementation freeze is to make the already prospectively frozen scientific engine executable in a reproducible numerical environment despite restrictions of the externally managed Colab runtime.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains the locked confirmatory scientific results of HLV-R-MECH-001, a prospectively frozen mechanism test of the previously observed degree-preserving rewire spectral residual within the Helix–Light–Vortex Framework (HLV), positioned as a Cut-and-Project and Incidence-Spectral Research Programme. The controlling scientific protocol is: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 The authoritative corrected implementation freeze is: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Corrected Implementation Freeze v0.1.2 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22170307 The v0.1.2 implementation changed only the numerical-runtime bootstrap. The scientific engine remained byte-identical to the prospectively frozen implementation. Frozen scientific engine SHA-256: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The successful locked scientific execution returned the machine verdict: RMECH001_PASS_TRIANGLE_MATCH_COLLAPSE_PATTERN The experiment contained two fresh prospectively frozen control families. R_DEG: fresh simple connected degree-preserving rewires matched to the target in labelled degree sequence and perturbation depth, with global triangle count unconstrained. R_TRI: fresh simple connected rewires preserving both the exact labelled target degree sequence and the exact global target triangle count T = 6960. Each family contained 31 accepted controls. The frozen family outcomes were: R_DEG: QSPEC PASS RRESP PASS Family PASS R_TRI: QSPEC FAIL RRESP FAIL Family FAIL For the fresh R_DEG family, the previously observed degree-preserving rewire spectral residual reproduced strongly. QSPEC: D_target = 0.008715193283827952 max D_LOO = 0.005181032910966849 median D_LOO = 0.0015059971709314455 robust margin = 5.786991803203511 2 of 3 frozen spectral bands pass. RRESP: D_target = 0.008334776747240381 max D_LOO = 0.0019187166287396942 median D_LOO = 0.0010793384522247884 robust margin = 7.722116014731345 2 of 3 frozen spectral bands pass. Thus the fresh degree-only baseline independently reproduces the earlier R-family spectral separation under the frozen mechanism-test design. For the exact-triangle-matched R_TRI family: QSPEC: D_target = 0.002191501382099135 max D_LOO = 0.0017606104448781759 robust margin = 1.7780654702146463 1 of 3 frozen spectral bands passes. RRESP: D_target = 0.0025511096413481766 max D_LOO = 0.0021234752495009907 robust margin = 2.2593200944928404 1 of 3 frozen spectral bands passes. Both R_TRI signatures therefore fail the complete frozen signature gate because the prospectively required minimum of 2 of 3 passing spectral bands is not reached. The rewiring-depth matching gate passed. Median edge-replacement fraction: R_DEG = 0.42768942937324606 R_TRI = 0.42076707202993446 absolute difference = 0.0069223573433115915 which is below the frozen maximum allowed difference of 0.02. The result therefore cannot be attributed to a substantially weaker perturbation depth in the triangle-matched family. The numerical environment and hard numerical audits also passed. The successful locked execution used: NumPy 2.3.5 SciPy 1.17.0 and completed the prospectively frozen target and selected control eigensolver/identity checks. The central scientific result is: exact preservation of the target's global triangle count collapses the previously robust two-signature, multi-band degree-preserving rewire spectral separation under the frozen HLV-R-MECH-001 gate. This provides prospective evidence that triangle/face organization is a major mechanism contributing to the previously observed R-family spectral residual. The result has a direct analytic basis. For a simple graph Laplacian L = D - A, Tr(L) = sum_i d_i, Tr(L^2) = sum_i d_i^2 + sum_i d_i, and Tr(L^3) = sum_i d_i^3 + 3 sum_i d_i^2 - 6T. Because R_TRI preserves both the complete degree sequence and the exact target triangle count T = 6960, it matches the target exactly in the first three raw Laplacian spectral moments. The observed collapse is therefore consistent with the hypothesis that the earlier degree-preserving R residual was strongly driven by face-triangle and associated short-cycle organization that was destroyed by the original degree-only rewires. However, the result does not prove that global triangle count is the sole causal invariant. Residual differences remain inside the R_TRI family. In particular, although the complete frozen QSPEC and RRESP gates fail, the R_TRI target distances still exceed the corresponding maximum leave-one-out distances and retain robust margins above 1.5. The failure occurs because only one of the three frozen spectral bands passes in each signature. Predeclared secondary diagnostics also show that exact global triangle matching does not reproduce the complete local target organization. For example, R_TRI controls still differ from the target in quantities including: - local per-vertex triangle distribution; - average clustering; - four-cycle count; - degree assortativity; - algebraic connectivity; - and other local or higher-order structural observables. Accordingly, the scientifically admissible conclusion is: The previously robust degree-preserving rewire spectral residual is strongly reduced and loses its frozen two-signature multi-band PASS once the exact global triangle count is preserved, supporting triangle/face organization as a major mechanism behind the original R-family effect. Remaining local and higher-order structural differences prevent the conclusion that global triangle count alone fully explains the residual. The locked result ZIP SHA-256 is: 69f927faba83b203d7dffbf028de680e6a6a3e36818002bc0e1ab27d5c01797d This result does not establish: - unique HLV geometry; - physical selection of the golden ratio; - a unique 6D-to-3D microscopic substrate; - spacetime; - extra dimensions; - particle physics; - an absolute energy scale; - gravity; - dark matter; - dark energy; - cosmology; - or experimental validation. The result instead narrows the active research programme toward the structural origin of the surviving local incidence-spectral residual. A natural successor is a separately prospectively frozen mechanism test using stronger controls that preserve local triangle profiles and selected short-cycle or motif structure before evaluating the inherited spectral signatures. The negative full-carrier-specificity results of the earlier HLV programme remain unchanged.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains the corrected deterministic implementation freeze for HLV-R-MECH-001. The controlling scientific protocol is: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 The public predecessor implementation is: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Implementation Freeze v0.1.0 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22166434 Version v0.1.1 corrects only the numerical-runtime bootstrap of the One-Click Colab launcher. The first locked execution under v0.1.0 terminated before any scientific evaluation because the assigned Google Colab runtime exposed: NumPy 2.1.3 SciPy 1.16.3 while the frozen scientific implementation requires: NumPy 2.3.5 SciPy 1.17.0. The resulting machine state was: RMECH001_INCONCLUSIVE_NUMERICAL with spectral_computation_started = false. Therefore the stopped execution did not evaluate the confirmatory R_DEG or R_TRI spectra, did not compute target QSPEC or RRESP scores, and did not produce a scientific HLV-R-MECH-001 mechanism verdict. The scientific engine itself has not been changed. The v0.1.1 launcher contains the exact byte-identical scientific engine used in public implementation freeze v0.1.0. Frozen scientific engine SHA-256: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The corrected launcher now performs the following runtime bootstrap before starting the unchanged scientific engine: 1. inspect the assigned host numerical environment; 2. if the host already provides exactly NumPy 2.3.5 and SciPy 1.17.0, use that environment directly; 3. otherwise create an isolated Python virtual environment; 4. install exact binary versions: NumPy 2.3.5 SciPy 1.17.0; 5. verify the installed versions explicitly; 6. verify the embedded scientific-engine SHA-256; 7. only after these checks execute the unchanged frozen HLV-R-MECH-001 scientific engine. The correction occurs entirely outside the scientific engine. No scientific rule has been modified. In particular, v0.1.1 does not change: - the DG-001 target; - the target graph identity; - the R_DEG control family; - the R_TRI control family; - confirmatory seed streams; - candidate ordering; - accepted-swap counts; - proposal caps; - structural admission rules; - the 40–45% edge-replacement-depth requirement; - the 31-control family size; - exact degree-sequence preservation; - exact global triangle preservation T = 6960 in R_TRI; - the between-family rewiring-depth gate; - QSPEC; - RRESP; - spectral bands; - leave-one-out scoring; - the robust-margin threshold; - numerical scientific hard gates; - or scientific machine-verdict logic. The frozen mechanism design therefore remains identical to the controlling protocol DOI 10.5281/zenodo.22166283. The two confirmatory control families remain: R_DEG: fresh degree-preserving structural rewires of the fixed DG-001 target graph. R_TRI: fresh rewires preserving both the exact labelled target degree sequence and the exact global triangle count T = 6960. Each family requires 31 accepted controls. The structural firewall remains unchanged: the complete R_DEG and R_TRI control banks must be generated, structurally validated, written to disk, and hash-fixed before any confirmatory spectral calculation is permitted. No control may be admitted or rejected using eigenvalues, QSPEC, RRESP, spectral-band distances, target-control scores, or scientific verdict information. The corrected implementation was validated only with burned development seeds and synthetic numerical checks. Correction validation confirmed: - exact protocol verification: PASS; - NumPy 2.3.5 / SciPy 1.17.0 environment validation: PASS; - burned R_DEG generation: PASS; - exact labelled degree-sequence preservation: PASS; - burned R_TRI generation with 10,000 accepted swaps: PASS; - exact triangle preservation T = 6960: PASS; - connectivity: PASS; - approximately 40–45% edge replacement: PASS; - deterministic replay: PASS; - synthetic QSPEC/RRESP implementation checks: PASS. No confirmatory HLV-R-MECH-001 seed stream was used during correction validation. No confirmatory target spectrum was computed. No confirmatory target QSPEC or RRESP score was computed. No scientific HLV-R-MECH-001 verdict was generated. The corrected One-Click notebook SHA-256 is: e8d1f516bc7a600039b44a7f2de8bdf5ecdc51a739d39aaf1e839d97d7e4bc95 The corrected implementation-freeze PDF SHA-256 is: e75aee3a4c790fefafda41aee93c6c267c814b66739bd1070355b519eb98452c The corrected implementation package SHA-256 is: d6e2d6ef3bf0b315bcbf7270c3be591bca28b7c13ef5730af30cb9bbead70b0f The unchanged scientific engine SHA-256 is: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 This record supersedes implementation freeze v0.1.0 only with respect to numerical-environment bootstrapping. It does not supersede or alter the scientific protocol. HLV-R-MECH-001 remains a finite graph-mechanism test. Neither this corrected implementation nor any later HLV-R-MECH-001 result can by itself establish unique HLV geometry, physical selection of the golden ratio, extra dimensions, spacetime, particle physics, an absolute energy scale, gravity, dark matter, dark energy, cosmology, or experimental validation. The purpose of this corrected implementation freeze is solely to ensure that the prospectively frozen scientific engine can execute in a numerically reproducible environment despite changes in the externally assigned Colab runtime.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains the locked confirmatory scientific results of HLV-R-MECH-001, a prospectively frozen mechanism test of the previously observed degree-preserving rewire spectral residual within the Helix–Light–Vortex Framework (HLV), positioned as a Cut-and-Project and Incidence-Spectral Research Programme. The controlling scientific protocol is: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 The authoritative corrected implementation freeze is: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Corrected Implementation Freeze v0.1.2 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22170307 The v0.1.2 implementation changed only the numerical-runtime bootstrap. The scientific engine remained byte-identical to the prospectively frozen implementation. Frozen scientific engine SHA-256: 317df650991120f686768ffc07d12f044f58e38ce8f2c47c083901bf1d7a8a14 The successful locked scientific execution returned the machine verdict: RMECH001_PASS_TRIANGLE_MATCH_COLLAPSE_PATTERN The experiment contained two fresh prospectively frozen control families. R_DEG: fresh simple connected degree-preserving rewires matched to the target in labelled degree sequence and perturbation depth, with global triangle count unconstrained. R_TRI: fresh simple connected rewires preserving both the exact labelled target degree sequence and the exact global target triangle count T = 6960. Each family contained 31 accepted controls. The frozen family outcomes were: R_DEG: QSPEC PASS RRESP PASS Family PASS R_TRI: QSPEC FAIL RRESP FAIL Family FAIL For the fresh R_DEG family, the previously observed degree-preserving rewire spectral residual reproduced strongly. QSPEC: D_target = 0.008715193283827952 max D_LOO = 0.005181032910966849 median D_LOO = 0.0015059971709314455 robust margin = 5.786991803203511 2 of 3 frozen spectral bands pass. RRESP: D_target = 0.008334776747240381 max D_LOO = 0.0019187166287396942 median D_LOO = 0.0010793384522247884 robust margin = 7.722116014731345 2 of 3 frozen spectral bands pass. Thus the fresh degree-only baseline independently reproduces the earlier R-family spectral separation under the frozen mechanism-test design. For the exact-triangle-matched R_TRI family: QSPEC: D_target = 0.002191501382099135 max D_LOO = 0.0017606104448781759 robust margin = 1.7780654702146463 1 of 3 frozen spectral bands passes. RRESP: D_target = 0.0025511096413481766 max D_LOO = 0.0021234752495009907 robust margin = 2.2593200944928404 1 of 3 frozen spectral bands passes. Both R_TRI signatures therefore fail the complete frozen signature gate because the prospectively required minimum of 2 of 3 passing spectral bands is not reached. The rewiring-depth matching gate passed. Median edge-replacement fraction: R_DEG = 0.42768942937324606 R_TRI = 0.42076707202993446 absolute difference = 0.0069223573433115915 which is below the frozen maximum allowed difference of 0.02. The result therefore cannot be attributed to a substantially weaker perturbation depth in the triangle-matched family. The numerical environment and hard numerical audits also passed. The successful locked execution used: NumPy 2.3.5 SciPy 1.17.0 and completed the prospectively frozen target and selected control eigensolver/identity checks. The central scientific result is: exact preservation of the target's global triangle count collapses the previously robust two-signature, multi-band degree-preserving rewire spectral separation under the frozen HLV-R-MECH-001 gate. This provides prospective evidence that triangle/face organization is a major mechanism contributing to the previously observed R-family spectral residual. The result has a direct analytic basis. For a simple graph Laplacian L = D - A, Tr(L) = sum_i d_i, Tr(L^2) = sum_i d_i^2 + sum_i d_i, and Tr(L^3) = sum_i d_i^3 + 3 sum_i d_i^2 - 6T. Because R_TRI preserves both the complete degree sequence and the exact target triangle count T = 6960, it matches the target exactly in the first three raw Laplacian spectral moments. The observed collapse is therefore consistent with the hypothesis that the earlier degree-preserving R residual was strongly driven by face-triangle and associated short-cycle organization that was destroyed by the original degree-only rewires. However, the result does not prove that global triangle count is the sole causal invariant. Residual differences remain inside the R_TRI family. In particular, although the complete frozen QSPEC and RRESP gates fail, the R_TRI target distances still exceed the corresponding maximum leave-one-out distances and retain robust margins above 1.5. The failure occurs because only one of the three frozen spectral bands passes in each signature. Predeclared secondary diagnostics also show that exact global triangle matching does not reproduce the complete local target organization. For example, R_TRI controls still differ from the target in quantities including: - local per-vertex triangle distribution; - average clustering; - four-cycle count; - degree assortativity; - algebraic connectivity; - and other local or higher-order structural observables. Accordingly, the scientifically admissible conclusion is: The previously robust degree-preserving rewire spectral residual is strongly reduced and loses its frozen two-signature multi-band PASS once the exact global triangle count is preserved, supporting triangle/face organization as a major mechanism behind the original R-family effect. Remaining local and higher-order structural differences prevent the conclusion that global triangle count alone fully explains the residual. The locked result ZIP SHA-256 is: 69f927faba83b203d7dffbf028de680e6a6a3e36818002bc0e1ab27d5c01797d This result does not establish: - unique HLV geometry; - physical selection of the golden ratio; - a unique 6D-to-3D microscopic substrate; - spacetime; - extra dimensions; - particle physics; - an absolute energy scale; - gravity; - dark matter; - dark energy; - cosmology; - or experimental validation. The result instead narrows the active research programme toward the structural origin of the surviving local incidence-spectral residual. A natural successor is a separately prospectively frozen mechanism test using stronger controls that preserve local triangle profiles and selected short-cycle or motif structure before evaluating the inherited spectral signatures. The negative full-carrier-specificity results of the earlier HLV programme remain unchanged.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
This record contains Rigorous Consolidated Core v2.1.5 of the Helix–Light–Vortex Framework (HLV). HLV is positioned in this revision as: Helix–Light–Vortex Framework (HLV) A Cut-and-Project and Incidence-Spectral Research Programme. The term “Framework” denotes the existing mathematical architecture and provenance of the programme. The active scientific direction is the HLV Cut-and-Project / Incidence-Spectral Research Programme. The present work is not presented as a validated fundamental physical theory. The consolidated core separates: - native 6D-to-3D cut-and-project carrier construction; - abstract incidence structure; - finite carrier fingerprints; - spectral and Hodge diagnostics; - explicitly postulated free dynamics; - continuum obligations; - gauge-sector mathematics; - theorem-level no-go boundaries; - and physical interpretation. Version 2.1.5 preserves the previous locked negative and bounded results while integrating the completed HLV-R-MECH-001 mechanism chain. The principal established structural constraints remain: 1. Native projected geometry HLV-LAYER-ORIGIN-007F / 007F-CERT establishes that the tested native projected tetrahedral assembly is not a strict global face-to-face simplicial realization. The local projected rank-three cell geometry remains mathematically valid, but the tested assembly cannot be promoted to a global native piecewise-flat or Regge manifold without a new validated global metric-complex construction. 2. Abstract incidence complex HLV-DG-001 independently certifies the retained parent-labelled structure as an exact finite oriented 0–3 chain complex with (N0, N1, N2, N3) = (1110, 5345, 6960, 2826), boundary ranks (1109, 4137, 2823), Betti vector (1, 99, 0, 3), and exact chain identities B1 B2 = 0, B2 B3 = 0. 3. Static and dynamic specificity HLV-DG-002 rejects HLV-specificity of the frozen cross-grade Hodge signature under the complete R/Q/W null ensemble. HLV-FA-DYN-001 rejects overall HLV-specific dynamic transport under its frozen R/Q/W ensemble. Its degree-preserving rewire family separates strongly, but the broader geometric controls defeat the complete specificity claim. HLV-DS-SPEC-001R separately rejects full native-carrier graph-spectral specificity under the frozen R/Q/W/IRR ensemble. Its locked machine verdict is: DSSPEC001R_FAIL_PARTIAL_SIGNATURE_OR_FAMILY_ONLY The degree-preserving R family passes both QSPEC and RRESP, while Q, W, and IRR fail the complete frozen criteria. This result established only a bounded graph-spectral structural residual and did not identify its mechanism. 4. HLV-R-MECH-001 mechanism localization Version 2.1.5 integrates the first prospectively frozen mechanism localization of that surviving graph-spectral R residual. Controlling protocol: Krūger, M. (2026). HLV-R-MECH-001: Prospective Triangle-Matched Mechanism Test of the Surviving Degree-Preserving Rewire Spectral Residual — Pre-Execution Protocol Freeze v0.1.0. Zenodo. DOI: 10.5281/zenodo.22166283 Authoritative corrected implementation: Krūger, M. (2026). HLV-R-MECH-001: Deterministic One-Click Engine for Triangle-Matched Rewire Mechanism Testing — Corrected Implementation Freeze v0.1.2 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22170307 Locked confirmatory results: Krūger, M. (2026). HLV-R-MECH-001: Locked Confirmatory Results for Triangle-Matched Mechanism Testing of the Degree-Preserving Rewire Spectral Residual v0.1.0 [Computer software]. Zenodo. DOI: 10.5281/zenodo.22170620 Locked result ZIP SHA-256: 69f927faba83b203d7dffbf028de680e6a6a3e36818002bc0e1ab27d5c01797d The successful locked machine verdict is: RMECH001_PASS_TRIANGLE_MATCH_COLLAPSE_PATTERN The experiment used two fresh prospectively frozen control families. R_DEG preserves the exact labelled target degree sequence while allowing the global triangle count to vary. R_TRI preserves both the complete labelled degree sequence and the exact global target triangle count T = 6960. Both families were matched in rewiring depth. The fresh R_DEG baseline reproduces the earlier graph-spectral residual: QSPEC: PASS RRESP: PASS with robust margins approximately 5.7870 and 7.7221. Under exact triangle matching, R_TRI returns: QSPEC: FAIL RRESP: FAIL under the complete prospectively frozen multi-band gate. The target-control distance relative to R_DEG is reduced by approximately: 74.85% for QSPEC, and 69.39% for RRESP. This prospectively localizes triangle/face organization as a major contributor to the previously observed degree-preserving rewire spectral residual. The result has an exact low-order spectral basis. For a simple graph Laplacian L = D - A, the identities Tr(L) = sum_i d_i, Tr(L^2) = sum_i d_i^2 + sum_i d_i, and Tr(L^3) = sum_i d_i^3 + 3 sum_i d_i^2 - 6T hold. Consequently, preserving the complete degree sequence and exact triangle count fixes the target values of the first three raw Laplacian spectral moments exactly. This mechanism result does not prove that global triangle count is the sole cause of the residual. In R_TRI, the target distances remain above the corresponding maximum leave-one-out distances and retain robust margins above 1.5, but only one of three frozen spectral bands passes in each signature. Predeclared secondary diagnostics also retain structural differences in: - local per-vertex triangle distribution; - clustering; - four-cycle counts; - assortativity; - algebraic connectivity; - and other higher-order local structure. The natural successor is therefore a separately prospectively frozen local-triangle-profile and short-cycle mechanism test. 5. Carrier fingerprint status The finite orientation-sensitive carrier fingerprint remains a bounded C2 result. Stage 6B and Stages 12–16 support an internally replicated orientation-sensitive finite carrier fingerprint under the stated frozen nulls. Stage 17 blocks the stronger fixed-window R = 2,3,4 scaling claim. Stage 18 remains diagnostic and does not overwrite that result. No injectivity theorem currently maps the finite fingerprint uniquely back to a microscopic carrier or physical spacetime. 6. Minimal free dynamics HLV-FA-0 remains explicitly axiomatic rather than derived. It postulates the cochain Hilbert space H_FA = direct sum from p=0 to 3 of C^p(K_abs; C), the minimal incidence-linear self-adjoint Hodge–Dirac generator D_K = d + delta, and one symbolic positive energy scale E_H. The numerical value of E_H is not predicted. The DG-001 Betti vector implies 103 exact Hodge–Dirac zero modes on the finite target. No particle masses, gauge interactions, gravity, dark-sector portal, or absolute physical energy scale follows from FA-0 alone. 7. Scalar-mode and gauge boundaries The core retains theorem-level no-go and covariance results showing, among other things, that: - a positive carrier Laplacian cannot generate a homogeneous negative quadratic direction from a nonnegative local mass; - a centered deformation F(L_G) with F(0)=0 leaves the constant-mode quadratic coefficient unchanged; - a bare tensor Laplacian L_G tensor I_r is not locally U(r)-frame covariant without independently supplied link transporters; - a fixed wrong-sign coefficient on a genuine refinement generator with diverging ultraviolet edge produces an unbounded negative spectral minimum. The finite compact-group gauge Hamiltonian remains mathematically well-defined with a positive finite-complex spectral gap, but this does not establish a continuum Yang–Mills mass gap. 8. Continuum boundary A single fixed bounded-degree, bounded-weight carrier has bounded Laplacian spectrum and therefore no intrinsic ultraviolet limit. A genuine continuum programme requires a changing refinement family, explicit scaling, identification maps, and an appropriate convergence theorem such as Mosco or generalized strong-resolvent convergence. No such native HLV continuum theorem is established in the present core. Scientific status after v2.1.5 The HLV Framework contains a reproducible mathematical cut-and-project construction, a certified finite abstract incidence complex, several rigorous operator sectors, theorem-level no-go results, finite carrier diagnostics, preserved negative specificity results, and a prospectively confirmed graph-spectral mechanism localization. The new HLV-R-MECH-001 result substantially clarifies the origin of the earlier degree-preserving R residual: triangle/face organization is a major contributor. It does not rescue the previously failed full carrier-specificity claims and does not establish that the native golden 6D-to-3D carrier is a fundamental physical substrate. The present evidence does not establish: - physical selection of the golden ratio; - a unique microscopic 6D-to-3D geometry; - Lorentzian spacetime; - a native Regge manifold; - Standard-Model recovery; - a Higgs mechanism; - particle masses; - an absolute HLV energy scale; - continuum Yang–Mills; - gravity; - dark matter; - dark energy; - cosmology; - or experimental validation. The active programme is therefore intentionally narrower: to determine which structural, incidence, spectral, and refinement properties of cut-and-project and related discrete systems survive increasingly strong matched alternatives, and to distinguish general mathematical mechanisms from genuinely carrier-specific effects before any physical interpretation is attempted. This revision strengthens mechanism identification and falsification discipline while leaving the fundamental physical claim level unchanged.
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
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.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
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
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.
Marcel Krüger· Zenodo (CERN European Organi...· 0 citations
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