Medium Theory (SMT): A Lorentz-Invariant and Causal Scalar Medium Model (Core v7.7 Stable, Full)

This preprint presents the finalized and expanded version of the Medium Theory (SMT), Core v7.7 Stable, Full.

The theory is formulated as a Lorentz-invariant and causal scalar field framework with non-linear kinetic term K(X,Φ), potential V(Φ), and a Φ-dependent effective Planck mass M*²(Φ).

Content highlights:

 

• Full Lagrangian and field equations;

• Weak-field/Newtonian limit and FRW cosmology;

• Embedding into the Higgs sector via κ-parameters (κ_V, κ_f, κ_γ, κ_tot), with covariance-matrix fits from ATLAS+CMS Run-2 and projections for HL-LHC and FCC-hh;

• Predictions for signal strengths μ, loop contributions, and future operational benchmarks.

 

The formulation establishes a coherent alternative to ΛCDM and Standard Higgs, with explicit operational tests and constraints.

An Executive Summary is attached as supplementary material for a broader audience, highlighting the conceptual advances, stability analysis, and technological outlook.