This preprint introduces a novel framework for understanding the natural structure of the universe, proposing that singularities in black holes and the Big Bang can be resolved by replacing infinite curvatures with finite combinatorial structures. Central to this work is the discrete-continuous duality, where geometric objects such as circles and spheres are approximated by discrete structures like squares and cubes. This approach reveals that fundamental physical laws—including gravity, electromagnetism, and quantum mechanics—emerge from the dynamics of a discrete network, offering a unified perspective on the quantization of space-time, entropy, and cosmic expansion. The framework is validated through three key results: Geometric packings: Discrete grids approximate continuous optimality with an accuracy of ±1. 3%1. 3\%±1. 3%. Cosmic topology: A Poincaré dodecahedral space explains anomalies in the cosmic microwave background (CMB), particularly the suppression at ℓ=2, 3 = 2, 3ℓ=2, 3. Discrete equations: Regge calculus and Schrödinger equations naturally emerge from simplicial networks, providing testable predictions for quantum gravity and cosmology. By adopting a π=1 = 1π=1 framework, this work demonstrates that singularities can be resolved as finite configurations, avoiding the divergences inherent in general relativity. The implications extend to dark matter, the unification of fundamental forces, and a deeper understanding of the fabric of space-time. As an independent research effort, this manuscript invites feedback and collaboration from the scientific community to further explore its predictions and applications.
Florian Gisbert (Sat,) studied this question.