Occam’s Razor as a Formal Basis for a Physical Theory
We introduce the principle of Occam’s Razor in a form that 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.
Unable to display preview. Download preview PDF.
- 2.R. Solomonoff, “A formal theory of inductive inference,” Part 1 and Part 2, Inform. Contr. 71 and 224 (1964).Google Scholar
- 5.R. Solomonoff, “A preliminary report on a general theory of inductive inference,” Tech. Rep. No. ZTB-138 (Zator Company, Cambridge, MA, 1960).Google Scholar
- 10.A. N. Soklakov, “Complexity analysis for algorithmically simple strings,” LANL e-print cs. LG/0009001 (2000).Google Scholar
- 11.L. D. Landau and E. M. Lifshitz, 3rd edn., Mechanics, Course of Theoretical Physics, Vol.1 (Butterworth-Heinemann, Oxford, 1998).Google Scholar
- 14.R. P. Feynman, Theory of Fundamental Processes (Benjamin, New York, 1962), p. 87.Google Scholar
- 16.L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Course of Theoretical Physics, Vol.2, 4th edn. (Pergamon, Oxford, 1989), Chap. 10, §87.Google Scholar