Relativistic Nonlinear Gravity on a Flat Background: A Classical Alternative to the Quantum-Field Paradigm

This paper formulates a consistent alternative to the quantum-field description of the micro- and macro-world. Based on a synthesis of Lorentz–Poincaré’s ideas of a material vacuum (Plenum) and Logunov’s Relativistic Theory of Gravitation (RTG), matter is deconstructed as a system of nonlinear classical solitons within the Einstein–Cartan geometry with torsion. Building upon the conceptual framework outlined in the author's previous preprints, we demonstrate that within a topologically closed (finite) Universe, the energy spectrum of such solitons is naturally discretized via the boundary conditions of nonlinear field equations. This approach completely eliminates Copenhagen-school indeterminism, von Neumann’s abstract Hilbert spaces, and the problem of gravitational non-renormalizability. A self-consistent explanation is provided for the four fundamental interactions, the nature of the photon, antimatter, the structure of torsion stars, and cyclic cosmology. The evolution of spatial concepts is shown to follow a strict dialectical triad that restores physics to Einstein’s Unified Field Theory