What question did this study set out to answer?

The central aim is to propose a phase-gradient closure model for dark energy and establish observable implications.

April 8, 2026Open Access

Phase-Model Paper 09: A Phase-Gradient Closure Model for Dark Energy

Key Points

The central aim is to propose a phase-gradient closure model for dark energy and establish observable implications.
Developed a phase-gradient closure model linking phase-field moments to effective density and pressure.
Derived an equation-of-state evolution based on the model.
Defined reject criteria using joint observations from SN Ia, BAO, and CMB.
Proposed model maintains core claims while providing new observable equations.
Establishes consistency across the Phase-Model series through editorial updates.

Abstract

Version note (v2.0, 2026-04-06): This release updates editorial consistency across the Phase-Model series (Papers 01–13), including reference formatting, author-name normalization, and removal of local-path citation strings. The core model claims and rejection logic are unchanged unless explicitly stated below. This preprint proposes a phase-gradient closure model for dark energy. The framework links coarse-grained phase-field moments to effective density and pressure terms, derives an observable equation-of-state evolution, and defines explicit reject criteria under joint SN Ia, BAO, and CMB-constrained assimilation.

Phase-Model Paper 09: A Phase-Gradient Closure Model for Dark Energy

Key Points

Abstract

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