Abstract

This paper presents a novel unified field theory based on the complex Hopf fibration S^1 → S^9 → CP^4, a 9-dimensional spacetime that elegantly unifies gravity, electromagnetism, and the strong and weak nuclear forces through topological principles. The Standard Model gauge groups SU(3)_C × SU(2)_L × U(1)_Y are derived with gravity from the fibration’s geometry and topology, where gravity is formulated as a topological field theory without the necessity of a metric but reducing to general relativity in a 4D reduction. The base CP^4 parameterizes complex time and space dynamics, distinguishing between inertial and accelerated states. The theory is consistent with current experimental data and yields unprecedented first-principles predictions of boson and fermion masses. The theory offers a falsifiable, topologically grounded theory of everything, predicting phase shifts testable via contemporary interferometry and offering a new paradigm for understanding fundamental interactions and spacetime structure.