Medium Theory SMT A Lorentz-Invariant and Causal Scalar Medium Model (Core v10.0)

This preprint presents the updated stable release of the Medium Theory (SMT) Core, version v10.0.

 

SMT formulates spacetime as a Lorentz-invariant and causal nonlinear scalar medium Φ, with dynamics governed by a generalized kinetic term K(X), potential V(Φ), and Φ-dependent effective Planck mass M*(Φ). Matter, radiation, gravity, and cosmological expansion emerge as localized or propagating configurations of the Φ-medium.

 

Core v10.0 consolidates the theoretical framework, incorporates improved consistency conditions, refined dynamical relations, and extended physical interpretations across quantum, gravitational, and cosmological regimes.

 

Key features include:

• Full Lagrangian formulation and field equations

• Emergent gravity from medium dynamics

• Quantum coherence and relaxation mechanisms

• Coupling structure and stability analysis

• Unified treatment of matter configurations and cosmological evolution

 

A supplementary document is provided, containing extended derivations, numerical illustrations, and additional physical discussions supporting the Core framework.