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This paper introduces the Sophy-Peter Bounded Physics (SPBP) framework as a unified model addressing key gaps between quantum mechanics and general relativity, which implies the solution for quantum gravity. By redefining spacetime as a discrete, bounded structure governed by fixed limits, SPBP eliminates infinities and offers a deterministic geometry and a unification of forces. The model resolves the black hole information paradox, reinterprets Hawking radiation as an interference-based process, and reformulates major physical equations with bounded curvature and nonlinear corrections. Simulations show accurate predictions of photon paths and gravitational effects near black holes. SPBP offers a consistent foundation for quantum gravity, presenting spacetime as a computable system where every interaction follows causal, observable rules.