The Modular–Elastic Vacuum Theory (TMEV): An Effective Field-Theoretic Description of Emergent Geometry and Dark Energy

The Modular–Elastic Vacuum Theory (TMEV) is an effective field-theoretic framework that models the physical vacuum as a macroscopic elastic medium with internal degrees of freedom. The theory is formulated entirely within the standard principles of classical field theory and general relativity: locality, diffeomorphism invariance, causality, and covariant energy–momentum conservation. No new fundamental particles, extra dimensions, or violations of established gravitational principles are introduced. In TMEV, deviations of the vacuum from equilibrium are described by an effective scalar field whose dynamics follow from an action principle. The resulting Master Vacuum Equation (EMV) governs the elastic response of the vacuum, while the associated stress–energy tensor couples consistently to spacetime geometry. In the macroscopic, near-equilibrium regime, standard Einstein field equations emerge naturally, with effective gravitational and cosmological constants determined by the vacuum state. Within this interpretation, the cosmological constant corresponds to residual elastic tension of the vacuum rather than a fundamental parameter. The framework provides a conservative reinterpretation of gravitational dynamics and dark energy, remaining fully compatible with ΛCDM at the background level while allowing for small, controlled deviations through vacuum elasticity. The theory is intended as an effective description valid at macroscopic and cosmological scales, not as a microscopic theory of quantum gravity. This project presents the foundational formulation of TMEV and outlines its conceptual structure, macroscopic limit, and cosmological implications.