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Fermat's Principle and Hamilton's Principle: Does a least action take a least time for happening?

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, , Citation M Anderson et al 2020 J. Phys.: Conf. Ser. 1467 012038 DOI 10.1088/1742-6596/1467/1/012038

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itpm.id@gmail.com

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1 Department of Mathematics, Universiti Brunei Darussalam, Negara Brunei Darussalam

2 Research Center for Physics, Indonesia Institute of Science (LIPI), Puspiptek, Serpong, Indonesia

3 Department of Physics, Universitas Negeri Surabaya, Ketintang, Surabaya, Indonesia

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1742-6596/1467/1/012038

Abstract

We explore deeper and analyse in more detail Fermat's and Hamilton's principles. We try to address some questions: Is it possible to have S negative? Is Hamilton's principle always valid for entire path of the system? Is there a relation between Fermat's principle and Hamilton's principle? We assume analogy with Hamilton's principle, is Fermat's principle always valid for entire path of the system? Does a least action take a least time for happening?.

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10.1088/1742-6596/1467/1/012038