Abstract
Ideal rods and clocks are defined as an infinitesimal symmetry of the spacetime, at least in the non-quantum case. Since no a priori geometric structure is considered, all the possible models of spacetime are obtained.
Similar content being viewed by others
REFERENCES
A. N. Bernal and M. Sánchez, work in progress.
H. von Borzeszkowski and Michael B. Mensky, Phys. Lett. A 269, 204 (2000).
T. Dray, G. Ellis, C. Hellaby, and C.A. Manogue, Gen. Relat. Gravit. 29, 591 (1997).
J. Ehlers, “survey of general relativity,” in Relativity, Astrophysics and Cosmology, W. Israel, ed. (Reidel, Dordrecht, The Netherlands, 1973).
J. Ehlers, F. A. E. Pirani, and A. Schild, General Relativity, L. O'Raifeartaigh, ed. (Oxford University Press, Oxford, 1972), p. 63.
G. F. R. Ellis and D. R. Matravers, Gen. Relat. Gravit. 27, 777 (1995).
F. Embacher, Phys. Rev. D 51, 6764 (1995).
S. A. Hayward, Class. Quant. Grav. 9, 1851 (1992).
J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983).
M. Kossowski and M. Kriele, Class. Quant. Grav. 10, 1157 (1993).
A. A. Logunov, Relativistic Theory of Gravity (Nova Science, New York, 1998).
K. B. Marathe, J. Diff. Geom. 7, 571 (1972).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
R. K. Sachs and H. H. Wu, General Relativity for Mathematicians (Springer-Verlag, New York, 1977).
M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. 2 (Publish or Perish, Boston, 1970).
S. S. Stepanov, Phys. Rev. D 62, 0235071 (2000).
F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups (Scott & Foresman, Glenview, Illinois, 1971).
R. Zalaletdinov, R. Tavakol, and G. F. R. Ellis, Gen. Relat. Gravit. 28, 1251 (1996).
M. Mars and J. M. M. Senovilla, Class. Quant. Grav. 10, 1865 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bernal, A.N., López, M.P. & Sánchez, M. Fundamental Units of Length and Time. Foundations of Physics 32, 77–108 (2002). https://doi.org/10.1023/A:1013800914617
Issue Date:
DOI: https://doi.org/10.1023/A:1013800914617