The standard Big Bang model predicts an initial singularity of infinite density, where generalrelativity breaks down. I propose the Finite Universal Energy-Mass Singularity (FUEMS)model, which replaces the infinite singularity with a finite total energy equal to the present day observable universe’s mass-energy content (≈ 1.4 × 1070 J). I postulate that spacetimepossesses an elastic limit—a maximum curvature Cmax—beyond which it cannot be compressed.When curvature approaches Cmax, the Heisenberg uncertainty principle generates a large quantum fluctuation, triggering a tunneling event. This changes the effective gravitational constant from attractive to repulsive (Geff < 0), producing a sudden quantum kick that creates space itself and initiates the Big Bang. The model explains dark energy as residual elastic relaxation and predicts that the universe will end in inertial disintegration, not heat death. The FUEMS model eliminates mathematical infinities, conserves total energy, and offers testable predictions for CMB observations.