The Bulk-Caustic Engine framework, from a single axiom (∀x : contain(x) ≡ express(x)) and golden-ratio geometry, produces fourteen numerical predictions for fundamental physical constants across particle physics, cosmology, and astrophysics. None are fitted to observation. All use the same geometric inputs: the golden ratio φ, π, √5, the Planck temperature, and the cascade return resistance Ω_total = 10²⁴. This document presents each prediction, its formula, its observed value with experimental uncertainty, the framework’s predicted value, and the deviation expressed in terms of experimental error bars. Zero free parameters.