Occam's Razor as a Formal Basis for a Physical Theory

Details Occam's Razor as a Formal Basis for a Physical Theory Occam's Razor as a Formal Basis for a Physical Theory

2000-09-07

arxiv.org/abs/math-ph/0009007v3

Physics

Mathematical Physics

29 pages; improved presentation; you may also need cs.LG/0009001

Scientific paper

We introduce the principle of Occam's Razor in a form which can be used as a basis for economical formulations of physics. This allows us to explain the general structure of the Lagrangian for a composite physical system, as well as some other artificial postulates behind the variational formulations of physical laws. As an example, we derive Hamilton's principle of stationary action together with the Lagrangians for the cases of Newtonian mechanics, relativistic mechanics and a relativistic particle in an external gravitational field.

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