Foundations of Physics

, Volume 12, Issue 2, pp 169–195 | Cite as

Physical dimensions and covariance

  • E. J. Post


The nonadditive properties of mass make it desirable to abandon mass as a basis unit in physics and to replace it by a unit of the dimension of the quantum of action [h]. The ensuing four-unit system of action, charge, length, and time [h, q, l, t] interacts in a much more elucidating fashion with experiment and with the fundamental structure of physics. All space-time differential forms expressing fundamental laws of physics are forms of physical dimensions, h, h/q, or q. Their occurrence as periods (residues) of period integrals of forms makes h and q topological invariants in space-time and stresses in general the global nature of quantization. The coordinate dimensions [l] and [t] only come into play for the form-coefficients, the metric tensor, and their tensorial relatives. One thus obtains a very natural guidance for implementing the principle of general covariance, when coordinate-based descriptions are necessary. The consequences for the general theory of relativity are discussed.


Covariance General Theory Basis Unit Differential Form General Covariance 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • E. J. Post
    • 1
  1. 1.Playa del Rey

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