Lobachevsky: Some Anticipations of Later Views on the Relation between Geometry and Physics
Copyright policy )Lobachevsky: Some Anticipations of Later Views on the Relation between Geometry and Physics
CONTEMPORARY DISCUSSIONS of the relationship between geometry and physics sometimes begin with a brief nod of respect in the direction of Carl Friedrich Gauss or Nicolai Ivanovich Lobachevsky. The respect is usually limited to crediting them with the first awareness that the geometry of space is an empirical question, to be determined by actual measurements. 1 Carnap, Reichenbach, and Hempel all mention the legend that Gauss measured a triangle of mountain tops to see if there was any deviation from 1800.2 Similarly, Aleksandrov, Kolmogorov, and Lavrent'ev quote Lobachevsky's remark that the geometry of space will have to be "verified like other physical laws by experiments, such as astronomical observations."3 And Max Jammer's classic Concepts of Space notes that Lobachevsky tried to use parallax measurements
History of geometry, History of mathematics in the 19th century, History of mechanics of particles and systems
History of geometry, History of mathematics in the 19th century, History of mechanics of particles and systems
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