Time, Space and Laws in Newtonian Mechanics

  • Edward Anderson
Chapter
Part of the Fundamental Theories of Physics book series (FTPH, volume 190)

Abstract

We consider the Newtonian paradigm of physics: its laws and in particular the status of time, space and frames therein. These conform to many ‘everyday intuitions’ about time and space, which, however, do not however apply in subsequent chapters’ quantum, special relativity and especially general relativity paradigms. For now, we consider some differences between Newton, Galileo and Aristotle’s world-views, and also the forms taken by various force laws in the Newtonian paradigm. We finally outline two tools: tensors and the principles of dynamics; these tools are very useful including through variants of these transcending to special and general relativity.

References

  1. 96.
    Barbour, J.B.: Absolute or Relative Motion? Vol 1: The Discovery of Dynamics. Cambridge University Press, Cambridge (1989) MATHGoogle Scholar
  2. 220.
    Courant, R., Hilbert, D.: Methods of Mathematical Physics, vols. 1 and 2. Wiley, Chichester (1989) CrossRefMATHGoogle Scholar
  3. 278.
    Ehlers, J.: Survey of general relativity theory. In: Israel, W. (ed.) Relativity, Astrophysics and Cosmology. Reidel, Dordrecht (1973) Google Scholar
  4. 520.
    Jammer, M.: Concepts of Mass in Contemporary Physics and Philosophy. Princeton University Press, Princeton (2000) Google Scholar
  5. 521.
    Jammer, M.: Concepts of Simultaneity. From Antiquity to Einstein and Beyond. Johns Hopkins University Press, Baltimore (2006) Google Scholar
  6. 598.
    Lanczos, C.: The Variational Principles of Mechanics. University of Toronto Press, Toronto (1949) MATHGoogle Scholar
  7. 669.
    Muga, G., Sala Mayato, R., Egusquiza, I. (eds.): Time in Quantum Mechanics, vol. 1. Springer, Berlin (2008) Google Scholar
  8. 670.
    Muga, G., Sala Mayato, R., Egusquiza, I. (eds.): Time in Quantum Mechanics, vol. 2. Springer, Berlin (2010) Google Scholar
  9. 676.
    Newton, I.: Philosophiae Naturalis Principia Mathematica [Mathematical Principles of Natural Philosophy]. (1686); For an English translation, see e.g. Cohen, I.B., Whitman, A.: University of California Press, Berkeley, (1999). In particular, see the Scholium on Time, Place, Space and Motion therein Google Scholar
  10. 814.
    Stewart, J.M.: Advanced General Relativity. Cambridge University Press, Cambridge (1991) CrossRefMATHGoogle Scholar
  11. 831.
    Taylor, E.F., Wheeler, J.A.: Spacetime Physics. Freeman, San Francisco (1966) Google Scholar
  12. 910.
    Will, S.C.M.: The confrontation between general relativity and experiment. Living Rev. Relativ. 17, 4 (2014). arXiv:1403.7377 ADSCrossRefMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Edward Anderson
    • 1
  1. 1.DAMTPCentre for Mathematical SciencesCambridgeUK

Personalised recommendations