The Push-Based Cosmological Model: Reconciling Quantum Confinement and Macroscopic Gravitation via a Lorentz-Invariant Scalar Void Field

The Push-Based Cosmological Model (PBCM) offers a unified, structural mechanism for macroscopic gravitation and microscopic quantum confinement. By replacing classical spacetime curvature and intrinsic mass attraction with a continuous, Lorentz-invariant scalar vacuum field (Tμν = -P_v gμν), gravity is radically redefined as a macroscopic hydrostatic pressure shadow. This framework resolves the thermodynamic heating and orbital drag paradoxes of classical kinetic push gravity through classical scalar field deformation and topological Dirichlet boundaries. Furthermore, by enforcing boundary stress equilibrium at the nucleon surface, PBCM mathematically derives the Newtonian gravitational constant directly from the Universal Void Pressure (P_v) and establishes its equivalence with the microscopic QCD Bag Constant (BQCD). The model imposes a physical maximum limit on gravitational acceleration (gₘₐₓ), predicting the formation of horizonless compact objects and measurable gravitational wave echoes, while remaining strictly compliant with the 10⁻¹⁵ Weak Equivalence Principle limits established by the MICROSCOPE mission.