FSBM 3.0: A Pure-GR Bounce Model That Eliminates the Big Bang Singularity and Redefines Dark Energy

This work presents FSBM 3.0, an extended formulation of the Finite Singularity Bounce Model, offering a fully classical and purely general-relativistic explanation of the Universe’s origin and large-scale evolution.FSBM removes the non-physical singularities predicted by Einstein’s equations by introducing a finite upper bound on cosmic expansion, Hₘₐₓ, which restores the completeness of General Relativity without modifying its form. In this 3.0 revision, the model unifies several outstanding cosmological phenomena: • Dark Energy as residual geometric tension from a finite-density bounce, predicted to decay slowly over time. • Dark Matter as curvature-thickness effects in post-bounce spacetime. • Large-scale anisotropies, including the Great Attractor and bulk flows, as natural curvature basins. • CMB irregularities and low-ℓ anomalies as geometric memory from the bounce. • Finite cosmic topology emerging inevitably from the bounded expansion. FSBM 3.0 provides clear observational signatures, including measurable deviations in H(z) at high redshift, the slow decay of effective dark energy density, and topological repetition patterns in the cosmic microwave background. This version formalizes the full geometric picture underlying FSBM and establishes it as a testable, self-consistent alternative to inflationary cosmology, requiring no new fields, particles, or modifications to Einstein’s theory.