Universal Journal of Physics and Application Vol. 7(3), pp. 249 - 273
DOI: 10.13189/ujpa.2013.010306
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Elimination of the Incompleteness of Classical Dynamics

G. A. Skorobogatov ^*, S. I. Svertilov
Dept of Chemistry, St. Petersburg State University, Universitetskii Prosp., 26, St. Petersburg 198504, RUSSIA

ABSTRACT

We have deductively and rigorously confirmed the Poincaré recurrence theorem also for bifurcating and branching solutions of differential equations. We have shown that the standard Newton mechanics (SNM) is incompatible with the Boltzmann H-theorem (BHT), thus being incomplete. Metamathematics demands that the primary axioms of SNM should be changed. It appears that BHT is compatible with the realistic mechanics, in which the standard Liouville equation (SLE) is replaced by the complete Liouville equation reducible to the SLE only for stable motions.

KEYWORDS
Classical Dynamics

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] G. A. Skorobogatov , S. I. Svertilov , "Elimination of the Incompleteness of Classical Dynamics ," Universal Journal of Physics and Application, Vol. 7, No. 3, pp. 249 - 273, 2013. DOI: 10.13189/ujpa.2013.010306.

(b). APA Format:
G. A. Skorobogatov , S. I. Svertilov (2013). Elimination of the Incompleteness of Classical Dynamics . Universal Journal of Physics and Application, 7(3), 249 - 273. DOI: 10.13189/ujpa.2013.010306.