Unified Lagrangian in the QEST

We present a unified Lagrangian formulation based on the Quantum Energetic
Space-Time (QEST) framework, integrating all four known fundamental interactions—strong,
weak, electromagnetic, and gravitational—within a scalar-field-based theory. The
model incorporates the full Standard Model gauge symmetry SU(3)c×SU(2)L×U(1)Y
and introduces a real scalar field S(x) that plays a dual role: contributing to spontaneous
symmetry breaking and mediating gravity through its spatial gradients. Particle
masses arise via Yukawa couplings to both the Higgs doublet Φ and S, while
gravitational effects are reproduced through a non-metric scalar interaction with the
energy-momentum tensor. The framework accommodates Higgs-singlet mixing, solitonic
particle solutions, and cosmological applications such as inflation and dark energy.
We provide a detailed analysis of the coupling constants, symmetry-breaking patterns,
and parameter constraints, and propose optional supersymmetric extensions. This
Lagrangian structure offers a self-contained, testable field-theoretic platform for unification
and serves as a bridge between quantum field theory, gravity, and the origin of
mass.