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Xuan-Liang Theory Second Edition: A New Framework for Quantum Gravity, Dark Matter, and Dark Energy

Abstract:
This paper proposes a novel unified physical theory, the Xuan-Liang theory, which resolves three major challenges in modern physics through geometric-topological unification [3-5]. (1) Dark matter effects originate from velocity curvature topolog- ical coupling; (2) Cosmic inflation and late-time accelerated expansion are unified via dynamic Euler characteristic evolution; (3) The black hole information paradox is resolved through holographic Xuan Liang flux quantization. Compared to string theory (28+ parameters) and loop quantum gravity (complex discrete geometry), this theory requires only three fundamental constants to achieve mathematical sim- plicity (1/10 complexity) and experimental verifiability (explicit predictions for gravitational wave polarization modifications), providing a potential framework for next-generation physical paradigms.