Bergmann Bounce Cosmology and Celestial Holography: Mini-Bounces as Stabilizers for Flat-Space Holograms

Celestial holography and flat-space holograms represent a frontier in quantum gravity, seeking to extend holographic principles from AdS/CFT to asymptotically flat spacetimes using scattering amplitudes, asymptotic symmetries (BMS, Carrollian), and twistor methods. This preprint integrates Bergmann Bounce Relativity (BBR) and Bergmann Multi-Cycle (BMC) cosmology into this framework. We propose that stochastic mini-bounces — quantum-scale resolutions of gravitational singularities — serve as natural stabilizers for holographic dualities in cyclic, asymptotically flat cosmologies. By embedding photon-driven cycles from BMC onto the celestial sphere, we derive bounce-corrected Ward-Takahashi identities and a modified Friedmann equation H² = (8πG/3)ρ - k/a² + Λ/3 + δ_b, where δ_b ∝ λ ℓ_Pl² cos^k θ is the stochastic bounce contribution. The Bergmann Bounce Drive (BBD) is extended as a hypothetical laboratory tool using Exawatt lasers and metamaterials to simulate holographic effects. We discuss implications for bounce dark matter, multiverse overlaps, and resolutions to instabilities in dS/CFT flat-space limits. Predictions include gravitational wave signatures from bounce-stabilized symmetries (detectable by LISA) and potential lab tests of celestial correlators.