CMG-LCE V7.2: Dynamic Vacuum Coherence and the Emergence of a Time-Dependent Cosmological Term

Abstract CMG–LCE V7. 2 proposes a coherence-based cosmological framework in which the cosmological constant emerges dynamically from the electromagnetic vacuum state. The model introduces a non-Markovian vacuum coherence parameter Ψ and defines decoherence as a stability-boundary transition via a Jacobian eigenvalue criterion. This approach provides a testable mechanism linking inflation, dark energy, and environment-dependent gravitational phenomena without modifying Einstein’s equations. Description This repository contains the full preprint CMG–LCE V7. 2, which develops a coherence-based cosmological framework in which the cosmological term emerges dynamically from the electromagnetic coherence state of the vacuum. In the standard ΛCDM paradigm, the cosmological constant Λ is treated as a fundamental constant representing a uniform vacuum energy density. Despite its empirical success, the physical origin of Λ remains unresolved. The CMG–LCE framework explores an alternative interpretation in which the effective cosmological term arises from the dynamical state of vacuum electromagnetic coherence. In this approach, the vacuum is treated as an active medium capable of sustaining coherent electromagnetic structure. This structure is parametrized by a collective coherence field Ψ, interpreted as an order parameter describing the macroscopic coherence state of the electromagnetic vacuum rather than as a new fundamental particle species. The cosmological term therefore becomes a state-dependent quantity, Λ = Λ (Ψ), linking spacetime dynamics to the coherence properties of the vacuum. The theoretical formulation is derived from a covariant variational principle including gravitational, electromagnetic, and coherence contributions. The resulting dynamics introduce an interaction between the coherence field and the electromagnetic invariant FμνFμνF_F^FμνFμν, allowing electromagnetic environments to influence the effective vacuum energy. A central contribution of the work is the formulation of geometric extinction as a stability-boundary transition of the coherence dynamics. Decoherence of the vacuum state is operationally defined by the condition Reλₘₐₓ (J) = 0, where J is the Jacobian matrix of the linearized dynamical system. This stability criterion provides a mathematically explicit and numerically detectable boundary separating coherent and decoherent regimes of the vacuum state. An exploratory numerical implementation (Python) is included to investigate the dynamical consequences of the stability-controlled coherence framework under controlled approximations. The numerical model integrates the reduced coherence dynamics in a homogeneous cosmological background using a truncated Friedmann relation and an effective electromagnetic source term. Within this scope, the simulations exhibit a stability-controlled transition that may be interpreted as a graceful exit from a coherent inflationary regime. Complementary Monte Carlo simulations evaluate the robustness of previously reported multi-scale correlations between gravitational anomalies and magnetic field strength in galaxies and clusters. In addition, a phenomenological comparison with the cosmological expansion history H (z) H (z) H (z) illustrates qualitative compatibility with ΛCDM-like expansion behaviour. The numerical implementation is intentionally presented as a dynamical exploratory tool, rather than as a full solver of the coupled Einstein–coherence system. The work explicitly documents the approximations adopted in the current implementation and identifies several directions for future development, including fully self-consistent Einstein–coherence numerical solvers, dynamical electromagnetic sector modeling, and predictive cosmological simulations. Overall, CMG–LCE V7. 2 proposes a coherence-based reinterpretation of vacuum energy in which several cosmological phenomena — including inflation, late-time acceleration, and environment-dependent gravitational behaviour — may arise from dynamical transitions of vacuum coherence.