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March 4, 20260 citationsOpen Access

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

GJGermund Johansson

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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Cite This Study

Germund Johansson (2026) studied this question.

synapsesocial.com/papers/69a7cd3dd48f933b5eed95aahttps://doi.org/10.5281/zenodo.18827508
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