Law from Bit VIII: The Interface Regime—Black Holes, Planck Scale, and Cosmological Transitions

Systems where conventional physics encounters difficulties—black holes, the Planck scale, and the Big Bang—share a common feature: neither General Relativity nor Quantum Mechanics alone provides a complete description. In the Law from Bit framework (where GR corresponds to the α-dominant regime and QM to the λ-dominant regime, connected by α + λ + 1/2 = 0), we argue these systems represent the interface regime where α ≈ λ. Black holes exhibit both geometric horizons (α-mode) and quantum scrambling (λ-mode). The information paradox is reframed as mode redistribution. The Planck scale is an interface by definition. The Big Bang is reinterpreted as a massive λ → α transition. This paper is interpretive and speculative—it offers frameworks, not derivations.