Massive black holes and the Big Bang behave exactly like a giant network of random dots and lines.
General relativity usually describes the universe as a smooth fabric, but it breaks down completely inside the violent centers of black holes. This mathematical proof shows that these cosmic singularities actually match the patterns found in random graph ensembles. The chaotic geometry at the edge of existence is identical to the way information flows through a complex web. This bridge allows physicists to use network theory to solve problems that previously crashed the laws of gravity. It means the most mysterious parts of our universe are likely built from the same logic as a massive, interconnected data map.
From Graph Laplacians to String Partition Functions: A Rigorous Pathway from Discrete Spectra to Emergent Geometry
arXiv · 2605.00452
This work establishes rigorous mathematical foundations connecting spectral graph theory, algebraic geometry, and string theory. We construct a canonical mapping whereby any finite graph \(G\) defines a compact Riemann surface \(X_{G}\) (the spectral curve) whose period matrix \(\Omega_{G}\) encodes the graph's coarse-grained spectral information. We demonstrate that in the continuum limit of graph sequences converging to Riemannian manifolds, these spectral curves converge in the Deligne-Mumfor