Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Crisis Deducing All Physics Laws, Solution to The Crisis and Its Applications to Improved Variational Principle, Improved Noether Theorem and so on

Version 1 : Received: 14 August 2020 / Approved: 15 August 2020 / Online: 15 August 2020 (04:12:46 CEST)
Version 2 : Received: 16 September 2020 / Approved: 17 September 2020 / Online: 17 September 2020 (12:46:25 CEST)
Version 3 : Received: 13 October 2020 / Approved: 15 October 2020 / Online: 15 October 2020 (16:50:48 CEST)

How to cite: Huang, C.; Huang, Y. Crisis Deducing All Physics Laws, Solution to The Crisis and Its Applications to Improved Variational Principle, Improved Noether Theorem and so on. Preprints 2020, 2020080334 (doi: 10.20944/preprints202008.0334.v2). Huang, C.; Huang, Y. Crisis Deducing All Physics Laws, Solution to The Crisis and Its Applications to Improved Variational Principle, Improved Noether Theorem and so on. Preprints 2020, 2020080334 (doi: 10.20944/preprints202008.0334.v2).

Abstract

This paper discovers that current variational principle and Noether theorem for different physics systems with (in)finite freedom systems have missed the double extremum processes of the general extremum functional that both is deduced by variational principle and is necessarily taken in deducing all the physics laws, but these have not been corrected for over a century since Noether's proposing her famous theorem, which result in the crisis deducing all the physics laws. This paper discovers there is the hidden logic cycle that one assumes Euler-Lagrange equations, and then he finally deduces Euler-Lagrange equations via the equivalent relation in the whole processes in all relevant current references. This paper corrects the current key mistakes that when physics systems choose the variational extreme values, the appearing processes of the physics systems are real physics processes, otherwise, are virtual processes in all current articles, reviews and (text)books. The real physics should be what after choosing the variational extreme values of physics systems, the general extremum functional of the physics systems needs to further choose the minimum absolute extremum zero of the general extremum functional, otherwise, the appearing processes of physics systems are still virtual processes. Using the double extremum processes of the general extremum functionals, the crisis and the hidden logic cycle problem in current variational principle and current Noether theorem are solved. Furthermore, the new mathematical and physical double extremum processes and their new mathematical and physical pictures for (in)finite freedom systems are discovered. The improved variational principle and improved Noether theorem are given, which would rewrite all relevant current different branches of science, as key tools of studying and processing them.

Subject Areas

fundamental interaction; variational principle; Noether theorem; physics law; unification theory

Comments (1)

Comment 1
Received: 17 September 2020
Commenter: Yong-Chang Huang
Commenter's Conflict of Interests: Author
Comment: This paper supplies the new discoveries and relevant deductions: e.g.,
This paper corrects the current key
mistakes that when physics systems choose the variational extreme values,
the appearing processes of the physics systems are real physics processes,
otherwise, are virtual processes in all current articles, reviews and
(text)books. The real physics should be what after choosing the variational
extreme values of physics systems, the general extremum functional of the
physics systems needs to further choose the minimum absolute extremum zero
of the general extremum functional, otherwise, the appearing processes of
physics systems are still virtual processes. This paper supplies new relevant deductions of the new discoveries.
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