Kelly Rhys
Summary: Matrix Physics proposes a conceptual framework in which matrices are treated not merely as algebraic objects but as observable transformation systems that govern the evolution of structured states. The work develops the idea of "Matrix Physics," where states, operators, and measurement processes form a unified language for describing dynamics across mathematics, physics, information theory, artificial intelligence, and complex systems. The framework introduces operator-based interpretations of stability, measurement, entropy, and symmetry while exploring extensions to matrix thermodynamics, operator field theories, quantum mechanics, gauge theory, cosmology, and random matrix models. Although primarily speculative and theoretical, the work investigates how spectral structure, eigenvalue dynamics, and symmetry breaking may provide a common mathematical foundation for understanding physical and informational systems. The manuscript is intended as a research program and conceptual synthesis rather than a completed physical theory, emphasizing operator dynamics, measurement, and emergent structure as unifying principles. Keywords: Matrix Physics; Linear Algebra; Operator Theory; Spectral Theory; Eigenvalues; Dynamical Systems; Random Matrix Theory; Operator Geometry; Information Theory; Measurement Theory; Symmetry Breaking; Gauge Theory; Quantum Mechanics; Complex Systems; Spectral Dynamics; Matrix Thermodynamics; Noncommutative Geometry; Emergent Physics; Mathematical Physics.
•Jun 28, 2026•0 citations