Mathematical Physics

    

On the Butterfly Effect and the Failure of Hamilton's Principle

Authors: Ervin Goldfain

As a long-cherished postulate of theoretical physics, Hamilton’s principle (HP) defines thebasis of classical mechanics and field theory. We argue here that HP is overturned inphysical settings where sensitivity to initial conditions cannot be ignored. We find thatthe approach to chaos of nearly integrable Hamiltonian systems sheds new light onseveral foundational aspects of effective field theory.

Comments: 13 Pages.

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Submission history

[v1] 2024-11-02 00:35:56
[v2] 2024-11-07 23:45:23

Unique-IP document downloads: 267 times

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