Matter-Shell Throughput from Lambda-Support Overlap: A Source-Normalized Bridge and Growth-Viability Diagnostic

Programme-status notice (29 July 2026): This record is quarantined as a physical descent and retained only as a conditional numerical toy. The scan does not derive a shell carrier, show that geometric Λ_eff supplies shell support, establish a selector, create extra visible matter, or add a GCV growth response. Its deposited K = 1968 counting diagnostic is an archived input, denoted K_arch in the status note, and is not the K_phys proposed in the later source-law preprint. See https://doi.org/10.5281/zenodo.21671960. The deposited files and original publication date are unchanged. ---------------------------------- 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 L_Lambda = Lambda / Lambda_star, the shell selector q_shell, the throughput ratio T_plus / T_minus = (1 + q_shell)/(1 - q_shell), and the normalized linear growth retention G_D = D(1)/D_star(1). The benchmark point is L_Lambda = 1, q_shell = 0.8, T_plus/T_minus = 9, and G_D = 1. The diagnostic scan finds a finite galaxy-viability region in the Lambda-tilt / matter-shell-surplus plane. In the medium selector band q_shell in [0.5, 0.9], the toy linear-growth diagnostic remains pass-level around L_Lambda less than approximately 2. At the benchmark selector value q_shell = 0.8, the scan gives G_D >= 0.8 until approximately L_Lambda = 3.08 and G_D >= 0.5 until approximately L_Lambda = 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