Fine-Tuning Resolution in the Bergmann Multi-Cycle Multiverse

The fine-tuning problem questions why fundamental constants (fine-structure constant α ≈ 1/137, cosmological constant Λ ≈ 10^{-120}, Higgs vev, etc.) are precisely set to allow stars, galaxies, chemistry, and life. Standard multiverse solutions rely on anthropic selection in an infinite or vast ensemble. The Bergmann Multi-Cycle (BMC) and Bergmann Bounce Relativity (BBR) resolve fine-tuning emergently: Stochastic mini-bounces regulate low-energy constants across bounce cycles, creating statistical preference for life-friendly physics without infinite universes or observer selection. This paper derives the bounce-induced constant distribution, analyzes stability of tuned regions, compares with anthropic and string landscape models, and provides quantitative, testable predictions (e.g. correlation between bounce rate λ and observable constants via GW and CMB). BBR/BMC offer a non-anthropic pathway to explain fine-tuning while unifying quantum gravity and cosmology.