Power-Series Representation and Operator Formalism of Reaction Rates in Chemical Kinetics with Physical Interpretation

This paper presents a power series framework for modeling chemical reaction rates, offering a mathematically flexible and physically interpretable alternative to traditional power-law models. By expressing rates as multivariate power series of reactant concentrations, the model captures multi-molecular interactions and synergistic effects often neglected in conventional kinetics. The formulation can also be expressed in an operator form, providing a concise representation that naturally connects to the power-series expansion and its underlying physical interpretation.