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References for Chapter 6
The quotation by Max von Laue at the beginning of the chapter is from the article “Inertia and Energy,” which was published in the book Albert Einstein: Philosopher-Scientist, Tudor Publishing Company, New York (1949).
The quotation by Leonard Schiff at the beginning of the chapter is from his classic textbook Quantum Mechanics, McGraw-Hill, New York, Second Edition (1955),page 331. Other textbooks are not in agreement with this viewpoint; for example, in the book Introduction to Modern Physics, McGraw-Hill, New York, Fifth Edition (1955), by F. K. Richtmyer, E. H. Kennard, and T. Lauritsen, a discussion is given on page 252 in which a rotating Lorentz electron has a relativistic distortion of the charge distribution which produces a change in the energy of the electron. The reason we included this quotation by Schiff is that it serves to illustrate the conceptual difficulties imposed by the point electron. According to present-day relativity theory, when a relativistic transformation is made that involves spin 1/2 particles, this transformation can cause a change in the spatial orientation of the spin vectors, but it is not assumed to cause any change in the spin energy of the particle.
See, for example, The Principle of Relativity, Dover Publications, Inc., New York, page 69.
See Ref. 1, page 116.
C. W. Berenda, Phys. Rev. 62, 280 (1942).
Henri Arzeliès, Relativistic Kinematics, Pergamon Press, Oxford (1966), Chapter IX.
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C. Møller, The Theory of Relativity, Oxford Univ. Press, London (1952); see page 318, Eq. (42) and the accompanying discussion.
H. Dingle, Nature 144, 888 (1939) and 179, 866 (1957) and 180, 1275 (1957).
H. E. Ives, J. Opt. Soc. Am. 27, 305 (1937).
For example, see Max Born, Einstein's Theory of Relativity, Dover, New York (1962), pp. 269–273. Also see H. Goldstein, Classical Mechanics, Addison-Wesley, Cambridge, Mass. (1950), Chapter 6.
E. L. Hill, Phys. Rev. 69, 488 (1946); N. Rosen ibid. 70, 93 (1946);71, 54 (1947); B. Kursunoglu, Proc. Camb. Phil. Soc. 47, 177 (1951); H. Takeno, Prog. Theor. Phys. 7, 367 (1952); G. H. F. Gardner, Nature 170, 243 (1952); J. L. Synge, ibid. 170, 243 (1952); T. E. Phipps, ibid. 195, 67 (1962); J. G. Fletcher, ibid. 199, 994 (1963); J. L. Anderson, Principles of Relativity Physics, Academic Press, New York (1967), p. 183; E. L. Hill, Phys. Rev. 71, 318 (1947).
M. H. Mac Gregor, Lett. Nuovo Cimento 4, 211 (1970); Phys. Rev. D9, 1259 (1974), Appendix B.
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See Ref. 4, Sec. IX, [120], p. 237.
Arzeliès, Ref. 16, mentions that the special-relativistic stretching strains may not be real. We can extend this result by noting that the non-Euclidean geometry near the equator that is experienced by the moving observer may minimize the stresses that originate as centrifugal effects.
See Ref. 9, pages 220–221.
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(1978). The relativistic mass increase for spinning systems. In: The Nature of the Elementary Particle. Lecture Notes in Physics, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08857-1_8
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