This record contains version 1. 0. 0 of “Matter-Shell Throughput from Lambda-Support Overlap: A Source-Normalized Bridge and Growth-Viability Diagnostic” by Germund Johansson. The note studies a downstream mechanism in Gauged Constant Vacuum-Mode Cosmology (GCV) linking a selected geometric Lambda scale, matter-shell throughput, and a first linear-growth diagnostic for galaxy viability. Lambda is treated as selected geometric constant-vacuum curvature on the GR-exact branch, not as an evolving dark-energy field. The paper imports earlier GCV modules for the flux-fixed vacuum framework, Governance Bridge source assignment, UV overlap support, derived Lambda selection, positive-Lambda sign robustness, and the matter-shell / baryogenesis selector. Its new contribution is to assemble these ingredients into a diagnostic chain: selected Lambda-support overlap -> source-normalized shell support -> visible matter-shell throughput -> linear growth retention -> diagnostic galaxy-viability bandwidth. The key diagnostic variables are the Lambda multiplier LLambda = Lambda / Lambdaₛtar, the shell selector qₛhell, the throughput ratio Tₚlus / Tₘinus = (1 + qₛhell) / (1 - qₛhell), and the normalized linear growth retention GD = D (1) /Dₛtar (1). The benchmark point is LLambda = 1, qₛhell = 0. 8, Tₚlus/Tₘinus = 9, and GD = 1. The diagnostic scan finds a finite galaxy-viability region in the Lambda-tilt / matter-shell-surplus plane. In the medium selector band qₛhell in 0. 5, 0. 9, the toy linear-growth diagnostic remains pass-level around LLambda less than approximately 2. At the benchmark selector value qₛhell = 0. 8, the scan gives GD >= 0. 8 until approximately LLambda = 3. 08 and GD >= 0. 5 until approximately LLambda = 17. 87. This record includes the PDF pre-paper, LaTeX and Markdown sources, CSV scan tables, figure files, figure-generation code, README, manifest, citation metadata, and selected supporting theorem / closeout notes. The calculation is a diagnostic linear-growth model, not a nonlinear galaxy-formation simulation or a full source-scanned galaxy-population theorem. Homepage: https: //www. johansson. digital
Germund Johansson (Sat,) studied this question.