The Theory of Relative Cosmic Equilibrium (RCE): A Complete Unification of the Four Fundamental Forces

We introduce the Theory of Relative Cosmic Equilibrium (RCE), a unified framework in which all fundamental interactions arise as emergent manifestations of the energetic differential field ∆E(x, t). In this paradigm, gravity, electromagnetism, and nuclear forces correspond to distinct relaxation channels of the same underlying field, resolving the long-standing quantum–gravity tension and eliminating curvature- based singularities. We construct the full RCE Lagrangian, derive two-loop renormalization- group equations, and compute the one- and two-loop effective potential Veff (ϕ), demonstrating perturbative stability up to the Planck scale. Using the predicted particle spectrum, we evaluate the oblique parameters (S, T, U ) and show compatibility with LEP, SLD, and LHC data. Gravitational dynamics arise from the effective metric geff μν = Z−1(∆E)ημν , reproducing the Newtonian limit, gravitational lensing, and gravitational-wave propagation. RCE replaces geometric curvature with energetic imbalance while retaining all observable gravitational effects. The framework yields testable predictions— including singularity-free collapse, frequency- dependent gravitational-wave dispersion, and quadrupole-driven lensing—making RCE a viable six-parameter alternative to conventional unification schemes.