Unified Quantum Horizon Thermodynamics: From Loop Quantum Cosmology Bounce to Dark Energy and Black Hole Information Flow

We present a unified cosmological framework addressing three fundamental problems: the initial singularity in Loop Quantum Cosmology via a unidirectional forward-initiation scenario; the 368-order-of-magnitude scale crisis of thermodynamic dark energy models, resolved through a dynamic UV/IR running cutoff without fine-tuning; and the formal correspondence between cosmic and black hole horizons via an explicitly derived information-flow equation. The IFST equation is derived from Landauer's erasure principle. Numerical integration yields chi-squared = 0.85 against 32 H(z) measurements.