The Positive-Λ Module of the Cosmological Constant Problem in Gauged Constant Vacuum-Mode Cosmology

This preprint presents the Step-3 sign-selection module of the Gauged Constant Vacuum-Mode (GCV) cosmological-constant programme. Treating the GR-exact radiative-stability backbone as fixed and the magnitude module as closed, the note asks whether late-time cosmological viability selects the positive branch once the residual cosmological constant is already concentrated near the observed scale. The analysis uses a minimal FRW recollapse asymmetry for Λ<0\Lambda<0Λ<0, a sign-agnostic benchmark that isolates sign selection at fixed magnitude, and conservative robustness scans over operational-time thresholds and negative-branch suppression models. The paper argues that the sign step is closed in a modular, operational sense: late-time viability suppresses Λ<0\Lambda<0Λ<0 and robustly biases the viable set toward Λ>0\Lambda>0Λ>0, while explicitly not claiming a UV theorem for the sign, a unique cosmological measure, or a first-principles derivation of Λobs\Lambda_{\rm obs}Λobs. This Step-3 module is positioned after the radiative-stability backbone and the UV overlap-share / geometry magnitude closure.

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https://johansson.digital

Project overview hub:
https://github.com/gcv-framework/gcv-vacuum-energy