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The uncertainty principle is the most important for the foundations ofquantum mechanics but it still remains failed to reach a consensus of itsinterpretation, which gives rise to debates upon its physical nature. In thiswork, we address the problem of its foundation from a different aspect topresent an alternative formulation for proving the uncertainty relations in ageneral way in terms of commutation relations and action function. Therelationship between the de Broglie relation and the uncertainty principle isstudied from a new angle. As a result, it is demonstrated that the de Broglierelation is the foundation of the uncertainty principle. Starting with theorigin of the problem, we show that the de Broglie relation provides the formof the wave function and the determined form of the wave function in turn leadsto the conception of operators for quantum mechanics, and thus it is possibleto provide with the help of the operators and wave function a generalized proofof the uncertainty principle as the law governing ensemble of states. As adecisive solution to the problem, the interpretation of the uncertaintyprinciple in terms of the action function is offered that gives oneself-consistent explanation in agreement with the known physical phenomena.Eventually, we show the necessity and possibility of reassessing and improvingthe foundation and interpretation of the uncertainty principle as a leadingprinciple of quantum mechanics.

Generalized proof of uncertainty relations in terms of commutation relation and interpretation based on action function