What question did this study set out to answer?

The aim is to establish a framework that maintains general relativity while managing the cosmological constant as a flux-fixed integration constant.

February 20, 2026Open Access

Radiatively Stable General Relativity with a Flux-Fixed Cosmological Constant (GCV): A minimal structural statement and empirical falsifier interface

Key Points

The aim is to establish a framework that maintains general relativity while managing the cosmological constant as a flux-fixed integration constant.
Defined the Gauged Constant Vacuum-Mode (GCV) framework under general relativity
Established the claim of radiative stability for the constant vacuum mode
Outlined falsifiable predictions for late-time observations
Demonstrated local dynamics remain consistent with general relativity while excluding constant vacuum contributions
Fixed measures for the effective cosmological constant lead to indistinguishable outcomes from a flat Lambda Cold Dark Matter (ΛCDM) model
Provided a falsifier interface for observational testing against late-time astronomical data

Abstract

Version note (v1. 0. 1): Scope clarification only (no new numerics): the radiative‑stability statement is EFT‑level and does not require a global selection/typicality model; selection enters only for distributional predictions of realised Λeff ₄₅₅Λeff. This record provides a one-page, journal-neutral statement of the Gauged Constant Vacuum-Mode (GCV) framework on its GR-exact branch, together with a minimal, survey-facing falsifier interface. Core claim. GCV realises a GR-exact branch in which the strictly spacetime-constant vacuum mode is gauge-controlled and does not appear as a local gravitational source. Local dynamics remain GR-exact with a flux-fixed integration constant Λeff₄₅₅Λeff in the Einstein equations, while the local stress-energy Tμν (loc) T_^ (loc) Tμν (loc) contains only local excitations (matter/radiation perturbations), excluding strictly constant vacuum contributions. Once Λeff₄₅₅Λeff is fixed by late-time data, the background expansion on this branch is indistinguishable from flat ΛΛCDM (wDE=−1w₃₄=-1wDE=−1). Scope. This note: states the structural GR-exact claim (constant-mode gauging; Λeff₄₅₅Λeff as a flux-fixed integration constant; radiative stability of the strictly constant vacuum contribution within the stated EFT operator inventory), and defines minimal falsifiers designed for late-time observational use (ruler-free geometry and growth-only response tests). This note does not: predict the numerical value or sign of Λeff₄₅₅Λeff; provide a UV-unique completion; or claim detection of deviations from GR/ΛΛCDM. Numerical constraints and operational likelihood constructions are provided in the cited companion records. Companion records (supplementary modules). See Related works Project homepage: https: //johansson. digitalProject overview hub: https: //github. com/gcv-framework/gcv-vacuum-energy

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Radiatively Stable General Relativity with a Flux-Fixed Cosmological Constant (GCV): A minimal structural statement and empirical falsifier interface

Key Points

Abstract

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