History of Science and Engineering Annotation << Back Historical Kinetics and Mathematical History of Technology: Modeling Speed Regimes and Optimal Trajectories Borisov V.A. This article proposes a new interdisciplinary approach to the analysis of historical development of engineering and technology: “historical kinetics”. This approach focuses on the quantitative measurement of the speed of historical processes and the search for optimal development trajectories. Based on the methods of mathematical statistics and experimental design, three key historical cases were modeled: the “cotton famine” in 19th-century Europe, the impact of piracy and technology on the extraction of silver in South America in the 16th and 17th centuries, and the technological rivalry in metallurgy between Sweden and Great Britain in the 18th century. The generalization of the results allowed us to formulate the foundations of historical kinetics as a theory of speed modes, introduce the concept of "historical viscosity," and establish the principle of historical isochronism. We also established the fi eld of "mathematical history of technology" as a hierarchical system of models where the evolution of machines (from micro to mega scales) is described using the apparatus of screw calculus and the equations of historical kinetics. We proposed a fundamental equation for the dynamics of the techno-historical system. Keywords: historical kinetics, mathematical history of technology, simulation modeling, speed modes, cotton famine, silver, cast iron, technological competition, and screw calculus. DOI: 10.25791/intstg.3.2026.1608 Pp. 28-40.