What question did this study set out to answer?

To isolate a spacetime-constant vacuum mode in a low-energy effective field theory while maintaining local gravitational effects.

January 6, 2026Open Access

Radiatively stable vacuum energy from a gauged constant vacuum mode: Local Einstein equations with a flux-fixed Λₑff

Key Points

To isolate a spacetime-constant vacuum mode in a low-energy effective field theory while maintaining local gravitational effects.
Formulation of an effective field theory (EFT) with a constant vacuum mode.
Utilization of local Einstein equations with a flux-fixed cosmological constant.
Development of an operator inventory to verify the model's conditions.
Identified that the constant vacuum term does not alter local cosmological-constant coupling.
Showed late-time behaviors align with standard dark energy parameter constraints.
Provided operational checks through threat models and operator inventories.

Abstract

What this record contains (PDF-only release) This Zenodo record contains the v2. 7. 1 manuscript PDFs for: Main manuscript: Radiatively stable vacuum energy from a gauged constant vacuum mode: Local Einstein equations with a flux-fixed Λₑff (v2. 7. 1) Supplementary Material S1: Audit backbone for the v2. 7. 1 manuscript (operator inventory, threat model, toy thresholds, and existence-proof extracts) No LaTeX sources or code are included in this deposit (by design). One-paragraph summary (what the paper is claiming) The manuscript formulates a low-energy EFT in which the strictly spacetime-constant vacuum mode is isolated into a compact/topological flux sector (three-/four-forms + membranes), while local excitations gravitate normally. On the minimal “GR-local” branch, the local Einstein equations are exactly GR with a constant term Λₑff that is an integration constant fixed by global flux/integration data. The central claim is operator-level and conditional: strictly constant additive shifts of the vacuum functional renormalize only the flux-fixed constant mode and do not reappear as a freely running local cosmological-constant coupling in the local equations, provided a stated operator inventory holds. What is (and is not) expected observationallyOn the GR-local branch, once Λₑff is fixed by observation, the late-time background and linear perturbations remain at the GR + w = −1 fixed point, so standard late-time “EFT of dark energy” parameter constraints are not expected to directly “see” the constant-mode mechanism itself; the tests are instead operator-level (red-line operators + the UV suppression criterion + the S1 audit). What S1 is for (how a referee can check the claim) Supplementary Material S1 is written as a referee-oriented audit backbone: it includes an IR operator inventory/checklist, a nonperturbative threat model (wormholes/instantons), UV-embedding templates, explicit toy “protected-λ” threshold tables/overlays, and compact “in-package” existence-proof extracts referenced by the main text. How to citePlease cite the Zenodo DOI assigned to this v2. 7. 1 record/version. If you are citing a broader evolving manuscript series, Zenodo will also provide a concept DOI (covers all versions) ; use that if you want a version-agnostic reference. Keywordscosmological constant; vacuum energy; radiative stability; effective field theory; four-forms; sequestering; unimodular gravity; flux discretuum; wormholes; instantons Project overview / companion materials: https: //johansson. digital

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