Do metric standards contract?
We address the question: By what class of force-application programs must a meter stick initially at rest in an inertial frame be moved in order to transfer it to a relatively moving inertial frame without altering the internal energy state of the structure in the process? Such stress-free transfer of a metric standard is essential for moving-axis calibration (a neglected art in established relativity theory). In order to deduce the answer by reasonings appropriate to kinematics, it proves necessary to make an extension of the relativity principle to rectilinear (irrotational) accelerated motions, and to enhance the kinematic motion group accordingly. Since the physical motion groups differ, the answers we obtain to this and to the title question differ from those of special relativity. Our alternative kinematics thus leads to discrepancies that should be measurable atO(v2/c2).
KeywordsEnergy State Internal Energy Special Relativity Inertial Frame Motion Group
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- 1.G. Cavalleri,Nuovo Cimento 53B, 415 (1968); also G. Cavalleri and G. Spinelli,Nuovo Cimento 66B, 11 (1970).Google Scholar
- 2.P. Ehrenfest,Phys. Z. 10, 918 (1909).Google Scholar
- 3.G. Herglotz,Ann. Phys. (Lpz) 36, 493 (1911).Google Scholar
- 4.E. Dewan and M. Beran,Am. J. Phys. 27, 517 (1959).Google Scholar
- 5.Ø. Grøn,Am. J. Phys. 43, 869 (1975).Google Scholar
- 6.V. Cantoni,Nuovo Cimento 57B, 220 (1968).Google Scholar
- 7.G. Herglotz,Ann. Phys. (Lpz) 31, 393 (1910).Google Scholar
- 8.F. Noether,Ann. Phys. (Lpz) 31, 919 (1910).Google Scholar
- 9.C. Møller,The Theory of Relativity (Oxford, 1960).Google Scholar
- 10.M. Born,Ann. Phys. (Lpz) 30, 840 (1909).Google Scholar
- 11.F. G. M. Farley, J. Bailey, and E. Picasso,Nature 217, 17 (1968); also J. Baileyet al., Nature 268, 301 (1977).Google Scholar
- 12.R. G. Newburgh,Isis 65, 379 (1974).Google Scholar
- 13.J. P. Hsu,Found. Phys. 8, 371 (1978).Google Scholar
- 14.W. Pauli,Theory of Relativity (Pergamon, New York, 1958).Google Scholar
- 15.T. E. Phipps, Jr.,Found. Phys. 6, 263 (1976).Google Scholar
- 16.H. Goldstein,Classical Mechanics (Addison-Wesley, Cambridge, Mass., 1950).Google Scholar