Summary
Only Lorentz (Galilei) transformations, and motion equations which are invariant with respect to them, are compatible with the law of inertia.
References
E. Mach:Die Mechanik in ihrer Entwickelung, Historisch-kritisch dargestellt, 3rd edition (F. A. Brockhaus, Leipzig, 1897).
H. A. Lorentz:Koninklijke Akademie van Wetenschappen te Amsterdam, XII, 986 (1904).
H. Poincaré:C. R. Acad. Sci.,140, 1504 (1905).
A. Einstein:Ann. Phys. (Leipzig),17, 891 (1905).
H. Weyl:Space-Time-Matter (Dover Publications, New York N.Y. 1952).
W. von Ignatowsky:Arch. Math. Phys. (Leipzig),17, 1 (1910).
F. Severi:Rend. Acc. Lincei (1924);Cinquant'anni di relatività (Sansoni, Firenze, 1955).
C. Cattaneo:Rend. Acc. Lincei,24, 256 (1958).
R. Weinstock:Am. J. Phys.,33, 640 (1965).
V. Mitvalsky:Am. J. Phys.,34, 825 (1966).
L. J. Eisenberg:Am. J. Phys.,35, 649 (1967).
A. R. Lee andT. M. Kalotas:Am. J. Phys.,43, 5 (1975).
J.-M. Lévy-Leblond:Am. J. Phys.,44, 271 (1976);Riv. Nuovo Cimento,7, 187 (1977);J.-M. Lévy-Leblond andJ. P. Provost:Am. J. Phys.,47, 12 (1979).
A. M. Srivastava:Am. J. Phys.,49, 504 (1981).
N. D. Mermin:Am. J. Phys.,52, 119 (1984).
H. M. Schwartz:Am. J. Phys.,53, 1007 (1985).
S. Singh:Am. J. Phys.,54, 183 (1986).
A. W. Ross:Am. J. Phys.,55, 174 (1987).
Nothing changes in the following if we introduce the velocity as an odd function β(v), which sometimes is written asva(v), of a parameterv (rapidity) which describes the transformation group and which must never be confused with the velocity.
E. Majorana:Nuovo Cimento,9, 335 (1932).
P. A. M. Dirac:Proc. R. Soc. London, Ser. A,117, 610 (1928);118, 351 (1928).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Preziosi, B. Inertia principle and transformation laws. Nuov Cim B 109, 1331–1335 (1994). https://doi.org/10.1007/BF02722844
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02722844