Bounded Geometry Transients in GCV: Source-Clock d-Band Alignment, Rank Diagnostic, and Inverse-Solved Closure Targets

Version v3.0.0. Technical pre-paper / timestamp record. This record is a scoped downstream note for the GCV bounded-geometry-transient module. It sharpens the source-clock interpretation of the realized BD-B bounded transient and timestamps the diagnostic rank d_Lambda,mean = K n_eff^2 / L = 1968*317/3332 = 187.231692677.... The claim is layered. At Governance-Bridge / GR-exact landing, the branch is the flux-fixed GR baseline and has no additional bounded-transient geometry departure: delta_geo(a)=0. Ordinary local matter is already present in T_loc and sources the standard GR+Lambda baseline. The present record studies the downstream active bounded-geometry/source-clock branch; on that branch, matter/source-clock activation predicts a small bounded BD-B-type geometry-response bump. The record distinguishes the nearby d-values used in the GCV stack: d ~= 184.13 as the transient-amplitude crossing for exact epsilon_m = 0.01 under eta_stress = 1; d_Lambda,mean = 187.231692677... as the UV mean-unity residual-Lambda rank diagnostic; d ~= 188.85 as an approximate mode-unity diagnostic; and d = 192 as the shell/governance benchmark normalization. The note does not claim evidence for a geometry transient in data and does not claim that the exact BD-B profile has already been uniquely forward-derived from first-principles microscopic UV/source dynamics. Its claim is narrower: the active bounded-geometry/source-clock branch predicts a BD-B-type bounded geometry-response bump, and SourceClock v3 records the inverse-solved closure targets eta_stress ~= 1 and eta_Xi ~= 1.2 needed for a future forward microscopic/source theorem. The package includes the rendered PDF, LaTeX source, figures, CSV audit tables, source-clock response tables, and a reproduction script. The PDF carries the scientific claim; the CSV files and script provide machine-readable audit support. Project homepage: https://johansson.digital Project overview hub: https://github.com/gcv-framework/gcv-vacuum-energy

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-11
DOI
https://doi.org/10.5281/zenodo.20126080
Primary Topic
Mathematical and Computational Methods
Type
preprint
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preprint

Bounded Geometry Transients in GCV: Source-Clock d-Band Alignment, Rank Diagnostic, and Inverse-Solved Closure Targets

Germund Johansson
Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Computational Methods
preprint

Bounded Geometry Transients in GCV: Source-Clock d-Band Alignment, Rank Diagnostic, and Inverse-Solved Closure Targets

Germund Johansson
preprint en

Abstract

Version v3.0.0. Technical pre-paper / timestamp record. This record is a scoped downstream note for the GCV bounded-geometry-transient module. It sharpens the source-clock interpretation of the realized BD-B bounded transient and timestamps the diagnostic rank d_Lambda,mean = K n_eff^2 / L = 1968*317/3332 = 187.231692677.... The claim is layered. At Governance-Bridge / GR-exact landing, the branch is the flux-fixed GR baseline and has no additional bounded-transient geometry departure: delta_geo(a)=0. Ordinary local matter is already present in T_loc and sources the standard GR+Lambda baseline. The present record studies the downstream active bounded-geometry/source-clock branch; on that branch, matter/source-clock activation predicts a small bounded BD-B-type geometry-response bump. The record distinguishes the nearby d-values used in the GCV stack: d ~= 184.13 as the transient-amplitude crossing for exact epsilon_m = 0.01 under eta_stress = 1; d_Lambda,mean = 187.231692677... as the UV mean-unity residual-Lambda rank diagnostic; d ~= 188.85 as an approximate mode-unity diagnostic; and d = 192 as the shell/governance benchmark normalization. The note does not claim evidence for a geometry transient in data and does not claim that the exact BD-B profile has already been uniquely forward-derived from first-principles microscopic UV/source dynamics. Its claim is narrower: the active bounded-geometry/source-clock branch predicts a BD-B-type bounded geometry-response bump, and SourceClock v3 records the inverse-solved closure targets eta_stress ~= 1 and eta_Xi ~= 1.2 needed for a future forward microscopic/source theorem. The package includes the rendered PDF, LaTeX source, figures, CSV audit tables, source-clock response tables, and a reproduction script. The PDF carries the scientific claim; the CSV files and script provide machine-readable audit support. Project homepage: https://johansson.digital Project overview hub: https://github.com/gcv-framework/gcv-vacuum-energy

Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Computational Methods
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