Rethinking Energy: Dimensional Hierarchy, Orthogonal Cycles, and Surface-Resolved Dynamics in Closed-Surface Field Theory

This paper introduces a vectorial reinterpretation of kinetic and potential energy interactions based on closed-surface field theory. Energy is classified according to its spatial and temporal dimensional hierarchy, and its transformation follows a four-stage orthogonal cycle. Kinetic energy is no longer treated as a scalar inner product, but as an external product vector orthogonal to potential vectors and resolved into area through collision processes. Author note: The author’s name is correctly written in Japanese as 今野 哲夫 (Tetsuo Konno), and should not be confused with other researchers bearing similar kanji.