Quantum-mechanical carrier of the imprints of gravitation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 57, Issue 8, 1998, Pages 4718-4723

  Gerlach, Ulrich H ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002362996     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.57.4718     Document Type: Article

References (20)

1. Also called the “principle of the uniqueness of free fall.” See C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), p. 1050.
2. Section V in A. Einstein, Jahrb. Radioakt. Electron. 4, 411 (1907);English translation in The Collected Papers of Albert Einstein, Vol. 2, The Swiss Years: 1900–1909, translated by Anna Beck, Peter Havas, Consultant (Princeton University Press, Princeton, NJ, 1989), p. 252.
3. E. F. Taylor and J. A. Wheeler, Spacetime Physics, 2nd ed. (Freeman, New York, 1992), Chap. 2.
4. A. Einstein and M. Grossman, Z. Math. Phys. 62, 225 (1913); English translation in The Collected Papers of Albert Einstein, Vol. 4, The Swiss Years: 1912–1914, translated by Anna Beck, Don Howard, Consultant (Princeton University Press, Princeton, NJ, 1996), p. 151.
5. The Collected Papers of Albert Einstein, Vol. 4, The Swiss Years: 1912–1914 4, p. 192.
6. A. Einstein, Phys. Z. 14, 1249 (1913); English translation in The Collected Papers of Albert Einstein, Vol. 4, The Swiss Years: 1912–1914 4, p. 198.
7. A. Einstein, Ann. Phys. (Leipzig) 49, 769 (1916); English translation in The Collected Papers of Albert Einstein, Vol. 6, The Berlin Years: 1914–1917, translated by Alfred Engel, Engelbert Schucking, Consultant (Princeton University Press, Princeton, NJ, 1997), p. 147; English translation alsoin The Principle of Relativity: A Collection of Original Memoirs (Dover, New York, 1923).
8. See, e.g., Box 15.1 in C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation 1, p. 351.
9. U. H. Gerlach, in Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, Jerusalem, 1997, edited by Tsvi Piran (World Scientific, Singapore, 1998);“Paired accelerated frames: The perfect interferometer with everywhere smooth wave amplitudes,” http://www.math.ohio-state.edu/∼gerlach
10. D. M. Greenberger, Rev. Mod. Phys. 55, 875 (1983).
11. J. S. Anandan, Nuovo Cimento A 53, 221 (1979); also J. S. Anandan, in Directions in General Relativity, edited by B. L. Hu, M. P. Ryan, and C. V. Vishveshwara (Cambridge University Press, Cambridge, England, 1993), Vol. 1, p. 10.
12. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993), Chap. 5.
13. U. H. Gerlach, in The Seventh Marcel Grossmann Meeting, edited by R. T. Jantzen and G. M. Keiser (World Scientific, Singapore, 1996), Pt. B;
14. U. H. GerlachInt. J. Mod. Phys. A 11, 3667 (1996). This last reference contains three errata: (i) On p. 3668, line 6, the word “existent” should be substituted for the word “existence.” Without this substitution the parenthetical definition becomes meaningless. (ii) The whole paragraph in the middle of p. 3670 is a misplaced version of the caption to Fig. 1. Consequently, this paragraph should be deleted. (iii) The corrected sentence at the very end of Sec. 7 (on p. 3686) should read “… the spinor transformation which relates Eq. (5.15) to Eq. (5.18).”
15. K. Srinivasan, L. Sriramkumar, and T. Padmanabhan, Phys. Rev. D 56, 6692 (1997).
16. See, e.g., M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Elmsford, NY, 1980), p. 312.
17. J. A. Wheeler, A Journey into Gravity and Spacetime (Scientific American Library, New York, 1990), Chap. 7.
18. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation 1, Chap. 15.
19. T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995).
20. J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).