The Daopological Micro-Universe: Discrete Topological Verification of Light Deflection and a New Paradigm for Quantum Gravity

This paper proposes a novel underlying path for quantum gravity by providing computational evidence that gravity does not necessitate the curvature of a continuous spacetime manifold. In our framework, gravity emerges as the "information congestion cost" within a fundamental discrete topological network. The classical General Relativity (GR) formula is demonstrated to be merely a first-order weak-field approximation of this discrete dynamics. We construct a pure discrete ray-tracing engine without presupposing any continuous geometric metric. Numerical results show that in the weak-field limit, the discrete model perfectly recovers the GR deflection angle, notably reproducing the factor of 2 which Newtonian mechanics fails to account for. Furthermore, approaching the event horizon, the discrete evolution naturally yields a higher-order nonlinear bifurcation, capturing corrections beyond the continuous manifold approximation. This work serves as a foundational proof-of-concept for a quantum gravity paradigm rooted in discreteness and topology.