Singular Model of Three-Dimensional Time as Tensor Geometry of Temporal Manifold Using the Kuznetsov Tensor
Vyacheslav Alekseevich Kuznetsov · Preprints.org · 2025
In this work, a new physical model is proposed, in which time is considered as a fundamental structure represented by a three-dimensional smooth manifold. Unlike the classical concept of spacetime, where time is a one-dimensional axis, here it possesses internal geometry and topology. To describe the changes of the metric along temporal directions, the Kuznetsov tensor. Space, within this theory, is treated as a derivative structure — a manifestation of the behavior of temporal coordinates in quantum dynamics. The model explains the origin of the mass of fundamental particles (electron, muon, quarks) as a result of topological and metric features of the temporal manifold. Gravity in such an approach isinterpreted as curvature of time rather than space. Importantly, the mathematical structure of the model preserves the causality principle and is consistent with local transformations, excluding paradoxes of backward time flow. Special attention is given to experimental verifiability: the theory allows calculation of physical quantities and predicts observable effects. Thus, the presented model extends the modern physical paradigm and may serve as a basis for new directions in quantum gravity and field theory.