Theory of Dynamic Interactions: A Proposed Conceptual Framework for Celestial Mechanics Under Non-Coaxial Rotational Coupling

Abstract

This article presents the Theory of Dynamic Interactions (TDI) as a proposed extension of classical rotational dynamics and celestial mechanics [1-3]. The framework addresses a specific class of systems: bodies with intrinsic angular momentum subjected to additional simultaneous rotational actions whose axes are not coaxial with the original spin. The central hypothesis is that, in this regime, the response of matter is not fully represented by a simple superposition of angular velocities or by the ordinary analytical separation of translational and rotational dynamics. Instead, TDI postulates an induced coupling between translational velocity, angular momentum, and the imposed non-coaxial angular action. This coupling is represented, at the operational level, by terms of the form Ω × v and Ω × L, interpreted by the theory as real dynamic contributions, rather than merely coordinate effects. The paper summarizes the conceptual motivation, generalized translational and rotational equations, an extended variational formulation, and a fieldoriented interpretation intended to avoid the assumption of instantaneous propagation of rotational interactions. The result of our research project has been the book New Celeste Mechanics [4]. Possible implications for precession, trajectory curvature, orbital-like motion, and disk-like celestial structures are discussed in a cautious and testable form. The theory is not presented as a rejection of Newtonian or Eulerian mechanics, but as a restricted proposed extension, whose validity depends on independent quantitative replication and comparison with refined classical models.