Fractal Geometry and Quantum Gravity: A New Understanding of Cosmic Structures

This paper proposes a new framework for understanding the structure of theuniverse, based on the intersection of fractal geometry and quantum gravity. Byintroducing the fractal Stokes’ theorem, the rigorous mathematical construction offractal manifolds and chain complexes, a modified holographic duality formula, andthe fractal extension of the dimensional flow equation, we revisit the micro- andmacro-structures of the universe. This study not only provides mathematical rigorbut also offers several experimentally verifiable predictions, opening new directionsfor future cosmological research