Unified Field Geometry : In a Gravitational Field, the Falling Speed of an Object Is Proportional to the Slope of the Surface Depression

This paper formulates a geometric unification between gravity and electromagnetism, based on the behavior of a closed surface φ(x, y, z, t). Both the motion of falling objects in a gravitational field and the evolution of electric and magnetic fields are described as differential responses to curvature, slope, and curl on φ. Gravitational velocity is proportional to the real surface gradient, while electromagnetic rotation arises from time-varying imaginary-normal fields. This model eliminates the need for distinct “forces,” replacing them with a single geometrical dynamic law: motion and field evolution are orthogonal compensations within the same surface structure. Author: Tetsuo Konno(今野哲夫) https://orcid.org/0009-0002-1842-7865