Abstract
We want in this note to clarify some aspects of the Machian foundation of the concept of mass in classical mechanics; specifically, we show how the relations of transitivity for the mass-ratios, necessary for a well grounded definition of mass, can be derived from Machian postulates.
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References
J. B. Griffiths,The Theory of Classical Dynamics (Cambridge University Press, Cambridge, 1985).
E. Mach,Die Geschichte und die Wurzel des Satzes von der Erhaltung der Arbeit, 2nd edn. (Barth, Leipzig, 1909).
M. Jammer,Concepts of Mass in Classical and Modern Physics (Harvard University Press, Cambridge, 1961).
W. Padgett, “Problems with the current definition of mass,”Phys. Essays 3, 178–182 (1990).
G. Hamel,Die Axiome der Mechanik, in H. Geiger und Karl Scheel, eds.,Handbuch der Physik, Band V, 1–42 (Berlin, 1927).
J. C. C. McKinsey, A. C. Sugar, and P. Suppes, “Axiomatic foundations of classical particle mechanics”,J. Rat. Mech. Anal. 2, 253–272 (1953).
M. Bunge,Foundations of Physics (Springer, Berlin, 1967), Chap. 3.
Ernst Mach,Die Mechanik in ihrer Entwickelung historisch-kritisch dargestellt, revised 7th edn. (Leipzig, 1912) (1st edn., Praha, 1883); English translation:The Science of Mechanics, 5th edn. (Open Court, La Salle, Illinois, 1942).
Herbert A. Simon, “The axioms in Newtonian Mechanics,”Phil. Mag. XXXVIII, 888–905 (1947).
Hans Hermes, “Zur Axiomatisierung der Mechanik,” in L. Henkin, P. Suppes, and A. Tarski, eds.The Axiomatic Method, with Special Reference to Geometry and Physics (Proceedings of an International Symposium held at the University of California, Berkeley, December 20, 1957–January 4, 1958) (North-Holland, Amsterdam, 1959). See also A. Châtelet et J. L. Destouches, eds.,La Methode axiomatique dans les Mécaniques classiques et nouvelles (Actes du 4e Colloque international de logique et philosphie des sciences, Institut Henry Poincaré, Paris, Septembre 1959) (Gauthier-Villars, Paris, 1963).
C. G. Pendse, “A note on the definition and determination of mass in Newtonian mechanics,”Phil. Mag. XXIV, 1012–1022 (1937); “A further note on the definition and determination of mass in Newtonian mechanics,”Phil. Mag. XXVII, 51–61 (1939); “On the mass and force in Newtonian mechanics—Addendum to “Mass I.” and “Mass II,”Phil. Mag. XXIX, 477–484 (1940).
V. V. Narlikar, “The concept and determination of mass of Newtonian mechanics,”Phil. Mag. XXVII, 33–36 (1939).
Julian B. Barbour,Absolute or Relative Motion? (Cambridge University Press, Cambridge, 1989).
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Guerra, M., Sparzani, A. About the definition of mass in (Machian) classical mechanics. Found Phys Lett 7, 75–84 (1994). https://doi.org/10.1007/BF02056554
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DOI: https://doi.org/10.1007/BF02056554