Growth Sector in GCV: Rank-Clock Response, Retained Visible-Source Activation, and Falsifier Interface

Version v2.0.0. Technical pre-paper / timestamp record. This record is v2.0.0 of the GCV growth-sector concept. It upgrades the earlier growth-sector observational target record from a survey-facing target note to a production-law and retained-source activation record. The only lawful IR landing in scope is the GR-exact landed branch of GCV. On that landed branch, late-time geometry is the flux-fixed GR+Lambda baseline once Lambda_eff is fixed. The present record studies the retained Route-B / CFI Sec. 6.2 visible source sector imported from UV v1.2.0. Within that retained sector, the visible source projection activates the vacuum-subtracted Route-B portal and gives a positive rank-clock growth response. The record uses the d-dictionary timestamped in the Bounded Geometry Transients / SourceClock v3.0.0 record. In particular, the rank diagnostic d_Lambda,mean = K n_eff^2 / L = 1968*317/3332 = 187.231692677... is used as the mean-unity residual-Lambda reference for the growth production law. The public production law is: epsilon_G^prod(d) = Omega_Lambda(1;d) * 0.0440123 * d/192, with d in [178,206]. Across that band the production amplitude is epsilon_G^prod(d) = 0.0275008 to 0.0333025, with epsilon_G^prod(d_Lambda,mean) = 0.029399691343 and epsilon_G^prod(192) = 0.030386136373. The resulting survey-facing signal is a small positive perturbation-sector growth response on fixed GR+Lambda geometry. In the six-bin growth-ratio representation, the response is low-redshift enhanced and fades toward higher redshift. This is the GCV growth-sector statement: geometry remains Lambda-like while the retained visible perturbation sector develops a small coherent rank-clock response. Claim boundary: this record does not claim a detection of modified growth in current data, does not claim a new local-gravity branch, does not redefine the Einstein-Hilbert coefficient, does not claim that arbitrary hidden or orthogonal sectors are covered, and does not claim that PB1/PB2 are the final public growth prediction. PB1/PB2 are historical benchmark anchors; the v2.0.0 production object is the activated rank-clock retained visible response sector. The package includes the rendered PDF, Markdown source, LaTeX source, README, citation metadata, support ledgers, visible-source support notes, reproduction script, generated audit tables, manifest, and checksums. The PDF carries the scientific claim; the CSV files and script provide machine-readable audit support. Zenodo Version DOI: 10.5281/zenodo.20128073Zenodo Concept DOI: 10.5281/zenodo.18933386 Project homepage: https://johansson.digitalProject overview hub: https://github.com/gcv-framework/gcv-vacuum-energy

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Publication Details

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Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-12
DOI
https://doi.org/10.5281/zenodo.20128073
Primary Topic
Solar and Space Plasma Dynamics
Type
preprint
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preprint

Growth Sector in GCV: Rank-Clock Response, Retained Visible-Source Activation, and Falsifier Interface

Germund Johansson
Zenodo (CERN European Organization for Nuclear Research)
Solar and Space Plasma Dynamics
preprint

Growth Sector in GCV: Rank-Clock Response, Retained Visible-Source Activation, and Falsifier Interface

Germund Johansson
preprint en

Abstract

Version v2.0.0. Technical pre-paper / timestamp record. This record is v2.0.0 of the GCV growth-sector concept. It upgrades the earlier growth-sector observational target record from a survey-facing target note to a production-law and retained-source activation record. The only lawful IR landing in scope is the GR-exact landed branch of GCV. On that landed branch, late-time geometry is the flux-fixed GR+Lambda baseline once Lambda_eff is fixed. The present record studies the retained Route-B / CFI Sec. 6.2 visible source sector imported from UV v1.2.0. Within that retained sector, the visible source projection activates the vacuum-subtracted Route-B portal and gives a positive rank-clock growth response. The record uses the d-dictionary timestamped in the Bounded Geometry Transients / SourceClock v3.0.0 record. In particular, the rank diagnostic d_Lambda,mean = K n_eff^2 / L = 1968*317/3332 = 187.231692677... is used as the mean-unity residual-Lambda reference for the growth production law. The public production law is: epsilon_G^prod(d) = Omega_Lambda(1;d) * 0.0440123 * d/192, with d in [178,206]. Across that band the production amplitude is epsilon_G^prod(d) = 0.0275008 to 0.0333025, with epsilon_G^prod(d_Lambda,mean) = 0.029399691343 and epsilon_G^prod(192) = 0.030386136373. The resulting survey-facing signal is a small positive perturbation-sector growth response on fixed GR+Lambda geometry. In the six-bin growth-ratio representation, the response is low-redshift enhanced and fades toward higher redshift. This is the GCV growth-sector statement: geometry remains Lambda-like while the retained visible perturbation sector develops a small coherent rank-clock response. Claim boundary: this record does not claim a detection of modified growth in current data, does not claim a new local-gravity branch, does not redefine the Einstein-Hilbert coefficient, does not claim that arbitrary hidden or orthogonal sectors are covered, and does not claim that PB1/PB2 are the final public growth prediction. PB1/PB2 are historical benchmark anchors; the v2.0.0 production object is the activated rank-clock retained visible response sector. The package includes the rendered PDF, Markdown source, LaTeX source, README, citation metadata, support ledgers, visible-source support notes, reproduction script, generated audit tables, manifest, and checksums. The PDF carries the scientific claim; the CSV files and script provide machine-readable audit support. Zenodo Version DOI: 10.5281/zenodo.20128073Zenodo Concept DOI: 10.5281/zenodo.18933386 Project homepage: https://johansson.digitalProject overview hub: https://github.com/gcv-framework/gcv-vacuum-energy

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Solar and Space Plasma Dynamics
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