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March 4, 2026Open Access

A UV-anchored budget-partition mechanism for derived-Λ within flux-fixed GR

Key Points

The main aim is to introduce a UV-anchored mechanism for the dimensionless residual cosmological constant within a specific framework of general relativity.
Introduced a budget-partition mechanism influenced by a high-dimensional flux lattice.
Used fixed acceptance gates defined in previous analysis archives as condition inputs.
Modeled the overlap sector as an effective mediator-coupled subspace.
Conducted analysis on public variants to validate the mechanism's robustness.
The mechanism passed the target gate with significant margins across all variants.
Observed overlap estimate rank of approximately 192, showing strong performance.
The UV-reweighted posteriors yielded a probability of P(0.8 < x < 1.2) ≈ 0.81.
A minimal v6 capability Posterior was provided for reproducibility of the gate metrics.

Abstract

This record releases v1. 0. 0 of a UV‑anchored candidate mechanism for the dimensionless residual cosmological constant x ≡ Λ/Λₒbs on the GR‑exact, flux‑fixed branch of the Gauged Constant Vacuum‑Mode (GCV) programme. The analysis treats the audited v6 capability‑conditioned posteriors defined in the v6. 0. 0 archive as fixed late‑time conditioning inputs (MEASURE/DETECT), and applies an imported, fixed acceptance gate defined in the closeout note. Mechanism (UV prior) We introduce a budget‑partition / overlap‑share prior induced by a hard quadratic inequality budget L (tadpole‑like) distributed over a high‑dimensional flux lattice of dimension K. The scan‑relevant overlap sector is modeled as an effective mediator‑coupled subspace with overlap rank dₛcan, yielding a Beta‑share (Dirichlet‑partition) weight on x. Gate result (headline) For the KS/Whitney benchmark corner and a localized overlap estimate dₛcan ≈ 192, the UV‑reweighted posteriors satisfy the imported Target gate with large margins and remain robust across the 8/8 public v6 analysis variants: medM ≈ 1. 024, medD ≈ 1. 018 P (0. 8 5) ≈ 8 × 10^-178 Scope / claim boundary This record claims an explicit UV‑anchored prior that passes a fixed imported gate on top of the fixed v6 capability-conditioned posteriors. It does not claim a unique UV completion, a complete cosmological measure, a UV theorem for the sign Λ>0, or a full geometry‑level computation of the overlap rank in a single explicit embedding. Geometry status (overlap rank) In v1. 0. 0, dₛcan is set using a UV‑motivated support‑count estimate (Whitney‑local support count) rather than a fully explicit divisor‑cohomology computation; completing an explicit computation (or a hard lower bound) for the relevant even flux‑lattice rank in a single explicit orientifold geometry would upgrade this aspect. What’s included in this Zenodo upload The manuscript PDF + LaTeX source. Machine‑readable gate‑metric tables (baseline vs UV‑reweighted; all 8 variants). The minimal v6 capability-conditioned posterior CSV grids required to reproduce the reported gate metrics, plus a small script that recomputes the four gate metrics from the shipped CSVs. Project homepage: https: //johansson. digitalProject overview hub: https: //github. com/gcv-framework/gcv-vacuum-energy

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