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- W118888984 abstract "In the author's opinion, two main features are characteristic for modern applications of mathematics to physics: the use of symmetries and the use of unobservable quantities (antioperationalistic approach). He gives a brief history of symmetry in physics: first, symmetry as a tool for describing useful features of given theories, then symmetry as a tool for restricting possible equations (e.g. the Dirac equation was thus obtained) and, finally, symmetry as a creative tool allowing one to obtain equations almost uniquely (Yang-Mills, etc.). Whenever equations are invariant with respect to some group, in the case that our observation data are invariant with respect to some subgroup $G$, one cannot tell the state $x$ from the state $gx$, where $gin G$, so the parameters telling $x$ from $gx$ become unobservable---of this kind are potentials in electrodynamics, coordinate effects in general relativity, etc. This unobservability can be ultimate (e.g. phase of wave function in quantum theory) or only approximate---in all other theories where symmetry is only approximate." @default.
- W118888984 created "2016-06-24" @default.
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- W118888984 date "1987-02-01" @default.
- W118888984 modified "2023-10-18" @default.
- W118888984 title "The mathematical style of modern physics" @default.
- W118888984 hasPublicationYear "1987" @default.
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