Open AccessHilbert’s 6-th problem and principle of completeness in dynamics
Author(s) -
Vladimir Yu. Tertychny-Dauri
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012106
Subject(s) - completeness (order theory) , axiom , generalization , motion (physics) , mathematics , calculus (dental) , newton's laws of motion , dynamics (music) , domain (mathematical analysis) , basis (linear algebra) , classical mechanics , theoretical physics , mathematical analysis , physics , geometry , medicine , dentistry , acoustics
The following offers a new axiomatic basis of mechanics and physics in their most important dynamics domain, i.e. a principle (axiom) of completeness intended to generalize Newton’s second law of motion for the case of a non-stationary variable-mass point (system) that varies with time. This generalization leads to hyperdynamic dependencies describing such motion from new accurate qualitative standpoints.