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Heuristic viewpoint concerning the thermal ambience relative to an accelerated frame

  • Part VI. Invited Papers Dedicated To John Archibald Wheeler
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Abstract

A linear wave field in its Minkowski ground state is analyzed heuristically by two observers, one inertial, the other accelerating in a linear and uniform way. Relative to the accelerated observer, the zero-point oscillations of each Minkowski plane wave mode have an unusual Fourier spectrum. Its intensity is (i) the same for all plane wave modes, (ii) isotropic, and (iii) that of a thermal ambience (relative to the accelerated frame). The temperature of this ambience is given by the Davies-Unruh formula kT=(ħ/2π)(g/c). The existence of this ambience is incompatible with the requirement that the laws of nature be formulated in terms of tensors.

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References

  1. A. Einstein,The Meaning of Relativity (Princeton University Press, Princeton, New Jersey, 1955), 5th edn., p. 61.

    Google Scholar 

  2. A. Einstein,Ann. Phys. 49, 1916, translated in H. A. Lorentzet al., The Principle of Relativity (Dover, New York, 1923), p. 117.

    Google Scholar 

  3. E. Wigner, in open Discussion following papers by S. S. Chern and I. Regge, inSome Strangeness in the Proportion, H. Woolf, ed. (Addison-Wesley, Reading, Massachusetts, 1980), pp. 285–286.

    Google Scholar 

  4. C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), Chap. 16.

    Google Scholar 

  5. T. A. Welton,Phys. Rev. 74, 1157 (1948).

    Article  Google Scholar 

  6. R. P. Feynman and A. R. Hibbs,Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).

    Google Scholar 

  7. E. F. Taylor and J. A. Wheeler,Space-time Physics (Freeman, San Francisco, 1966).

    Google Scholar 

  8. W. Rindler,Am. J. Phys. 34, 1174 (1966).

    Google Scholar 

  9. An analogous result also prevails if the accelerated observer has (according to his own clock) (a) a uniform drift velocity or (b) a uniform orbiting motion in addition to what otherwise would be uniform linear acceleration. U. H. Gerlach,Phys. Rev. D 27, 2310 (1983).

  10. U. H. Gerlach,Phys. Rev. D 27, 2310 (1983).

    Article  Google Scholar 

  11. T. Boyer,Phys. Rev. D 21, 2137 (1980); P. Candelas and D. Deutsch,Proc. R. Soc. London A 354, 79 (1977).

    Article  Google Scholar 

  12. P. G. Grove and A. C. Ottewill,Class. Quantum Gravit. 2, 373 (1985).

    Article  Google Scholar 

  13. N. J. Vilenkin, inSpecial Functions and the Theory of Group Representations (American Mathematical Society, Providence, Rhode Island, 1968).

    Google Scholar 

  14. U. H. Gerlach, “The Rindler Condensate,” preprint, The Ohio State University, 1985.

  15. C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), Chap. 1.

    Google Scholar 

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Gerlach, U.H. Heuristic viewpoint concerning the thermal ambience relative to an accelerated frame. Found Phys 16, 667–677 (1986). https://doi.org/10.1007/BF01889628

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  • DOI: https://doi.org/10.1007/BF01889628

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