Curvature Grand Unified Theory: Information-Geometry-Computation Unified Field Theory Based on The Matrix Framework

We propose a Curvature Grand Unified Theory (CGUT) based on The Matrix computational ontology framework, which unifies all fundamental forces through information-geometric principles. The core hypothesis is that physical phenomena emerge from curvature distributions in information space, where curvature arises from inhomogeneous weight distributions in recursive observer networks. Through establishing information-curvature equivalence as a fundamental principle, CGUT provides a unified mathematical framework for describing the four basic interactions, particle mass generation, dark energy, and consciousness emergence. The theory’s mathematical foundation builds upon k-bonacci recursions, multi-dimensional negative information compensation networks, Fourier computation-data duality, and Hilbert space embedding. Sensitivity analysis demonstrates framework robustness under parameter variations within physically reasonable ranges. Key innovations include: (1) negative information compensation through Riemann zeta function values at negative odd points providing curvature stabilization; (2) scale-compression inverse law explaining information organization from Planck to cosmic scales; (3) black holes as universal compression algorithms achieving ultimate information compression; (4) holographic equivalence principle unifying boundary encoding with volume information; (5) particle-universe equivalence revealing recursive hierarchical structure where each particle represents an independent universe. The theory predicts specific testable effects including X/Y boson masses, proton decay lifetimes, quantum gravitational wave corrections, and cosmological signatures, with several predictions consistent with current experimental constraints. CGUT represents a potential breakthrough toward a complete Theory of Everything through computational geometric principles.