VTN-12. Temporal Symmetry and Asymmetry as a Mechanism of Evolution of Complex Systems

This paper proposes a temporal interpretation of symmetries as structural retention regimes that define the domain of admissible states T(t) in complex systems. It is shown that symmetries stabilize an achieved level of organization but cannot generate its development, since by their nature they are closed within the domain T_before and do not allow an expansion of temporal dimensionality. Based on the analysis of temporal dynamics, two universal principles of symmetry evolution are formulated. The first principle states that the emergence of a new symmetry is possible only through a phase of asymmetry, in which previous invariants lose their stabilizing role and the expansion of the domain T(t) becomes possible. The second principle establishes that a new symmetry ( G' ) arises exclusively within the expanded domain T_after and cannot be derived from the previous symmetry ( G ), neither parametrically nor structurally. It is demonstrated that these principles operate as a unified mechanism of complexity growth and manifest themselves in quantum symmetry breaking, phase transitions, biological processes, cognitive evolution, and cultural-historical transformations. The temporal interpretation refines the role of asymmetry as a necessary condition for development and provides a foundation for further analysis of temporal transitions within the VTN series. This paper is the English-language version of a study previously published in a Russian academic journal.