General Relativity has long served as the fundamental framework for gravitation, modelling macroscopic phenomena such as redshift strictly through the geometric curvature of spacetime. While highly successful on astronomical scales, this purely geometric axiom has proven notoriously difficult to reconcile with the thermodynamic properties of confined electromagnetic radiation and the probabilistic foundations of quantum mechanics. For decades, mathematically stabilizing self-contained gravitational electromagnetic entities (GEONs) has remained elusive within the standard geometric interpretations of the Einstein field equations. Here we show that gravitational redshift and stable electromagnetic confinement naturally emerge from a continuous, macroscopic force-density equilibrium—termed the Local Intrinsic Field Equilibrium (LIFE)—without requiring the axiom of spacetime curvature. By employing a first-order Taylor series expansion, we demonstrate that the exact LIFE equations yield a classical weak-field limit identical to the standard geometric derivations for gravitational redshift. Furthermore, this thermodynamic framework successfully stabilizes Wheeler’s GEONs, modelling black holes as singularity-free macroscopic confinements. Finally, by introducing a quantum vector function, we reveal that these exact macroscopic field equilibriums fundamentally reduce to the quantum mechanical Schrödinger and relativistic Dirac equations, offering a rigorous, continuous mathematical unification of gravitational mechanics and sub-atomic physics.
Wim Vegt (2026) studied this question.