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As time goes by ...

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La Rivista del Nuovo Cimento (1978-1999) Aims and scope

“Physicists consider me an old fool, but I am convinced that the future development of Physics will depart from the present road»

«It is my opinion that our present picture of physical reality, particularly in relation to the nature oftime, is due for a grand shake up—even greater, perhaps, than that which has already been provided by present-day relativity and quantum mechanics».

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References

  1. J. Ellis, N. Mavromatos andD. V. Nanopoulos: inProceedings of the International Symposium on Black Holes, Membranes, Wormholes, and Superstrings, edited byS. Kalara andD. V. Nanopoulos (World Scientific, Singapore, 1993), p. 51.

    Google Scholar 

  2. J. Ellis, N. Mavromatos andD. V. Nanopoulos: inRecent Advances in the Superworld, Proceedings of the HARC Workshop, The Woodlands April 14–16, 1993 edited byJ. L. Lopez andD. V. Nanopoulos (World Scientific, Singapore, 1994), p. 3; hep-th/9311148.

    Google Scholar 

  3. J. Ellis, N. Mavromatos andD. V. Nanopoulos: CERN-TH.7195/94, to appear inProceedings of the International School of Subnuclear Physics, XXXI Course, Erice, July 1993, hep-th/9403133; CERN-TH.7269/94, inProceedings of the V International Conference of Phenomenology of Unification from Present to Future, Rome, March 1994, hep-th/9105196.

  4. S. Hawking:Commun. Math. Phys.,43, 199 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  5. J. Bekenstein:Phys. Rev. D,12, 3077 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  6. S. Hawking:Commun. Math. Phys.,87, 395 (1982).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. J, Ellis, J. S. Hagelin, D. V. Nanopoulos andM. Srednicki:Nucl. Phys. B,241, 381 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Hawking, D. Page andC. Pope:Nucl. Phys. B,170 283 (1980).

    Article  ADS  Google Scholar 

  9. For very nice expose seeR. Penrose:The Emperor's New Mind (Oxford University Press, Oxford, 1989).

    Google Scholar 

  10. For a review see:A. Aspect andP. Grangier:Experiments on EPR-type correlations with pairs, of visible photons, inQuantum Concepts in Space and Time, edited byR. Penrose andC. J. Isham (Oxford University Press, Oxford, 1986).

    Google Scholar 

  11. Y. Aharonov andD. Bohm:Phys. rev.,115, 485 (1959).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. L. M. Krauss andF. Wilczek:Phys. Rev. Lett.,62, 1221 (1989).

    Article  ADS  Google Scholar 

  13. See, for instance,M. B. Green, J. H. Schwarz andE. Witten:String Theory, Vol. I and II (Cambridge University Press, Cambridge, 1986).

    Google Scholar 

  14. See, for instanceA. P. Polyakov:Gauge Fields and Strings (Harwood, New York, N.Y., 1987).

    Google Scholar 

  15. S. Mandelstam:Phys. Lett. B,277, 82 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  16. I. Antoniadis, C. Bachas, J. Ellis andD. V. Nanopoulos:Phys. Lett. B,211, 393 (1988);Nucl. Phys. B,328, 117 (1989);Phys. Lett. B,257, 278 (1991).

    Article  ADS  Google Scholar 

  17. R. C. Myers:Phys. Lett. B,199, 371 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  18. M. Mueller:Nucl. Phys. B,337, 37 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  19. D. V. Nanopoulos: inProceedings of the International School of Astroparticle Physics, HARC-Houston (World Scientific, Singapore, 1991), p. 183.

    Google Scholar 

  20. F. David:Mod. Phys. Lett. A,3, 1651 (1988);J. Distler andH. Kawai:Nucl. Phys. B,321, 509 (1989);N. E. Mavromatos andJ. L. Miramontes:Mod. Phys. Lett. A,4, 1847 (1989).

    Article  ADS  Google Scholar 

  21. B. Misra, I. Prigogine andN. Courbage:Physica A,98, 1 (1979);I. Prigogine:Entropy, time, and kinetic description, inOrder and Fluctuations in Equilibrium and Non-Equilibrium Statistical Mechanics, edited byG. Nicolis et al. (Wiley, New York, N.Y., 1981);B. Misra andI. Prigogine:Time, probability and dynamics, inLong-Time Prediction in Dynamics, edited byG. W. Horton, L. E. Reichl andA. G. Szebehely (Wiley, New York, N.Y., 1983);B. Misra:Proc. Natl. Acad. Sci. USA,75, 1627 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  22. R. M. Santilli:Hadronic J.,1, 223, 574, 1279 (1978);Foundations of Theoretical Mechanics, Vol. I (1978) and II (1983) (Springer-Verlag, Heidelberg/New York);Lie-admissible Approach to the Hadronic Structure, Vol. I (1978) and II (1982) (Hadronic Press, Palm Harbor, Fla.) see alsoJ. Fronteau, A. Tellez-Arenas andR. M. Santilli:Hadronic J.,3, 130 (1979);J. Fronteau:Hadronic J.,4, 742 (1981).

    MathSciNet  MATH  Google Scholar 

  23. J. P. Constantopoulos andC. N. Ktorides:J. Phys. A,17, L29 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  24. A. B. Zamolodchikov:JETP Lett.,43, 730 (1986);Sov. J. Nucl. Phys.,46, 1090 (1987).

    MathSciNet  ADS  Google Scholar 

  25. N. E. Mavromatos andJ. L. Miramontes:Phys. Lett. B,212, 33 (1988);N. E. Mavromatos:Phys. Rev. D,39, 1659 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  26. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,293, 37 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  27. E. Witten:Phys. Rev. D,44, 314 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. B. A. Ovrut andS. Thomas:Phys. Rev. D,43, 1314 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  29. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos.Phys. Lett. B,289, 25 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  30. A. V. Yung:Int. J. Mod. Phys. A,9, 591 (1994); and Swansea preprint SWAT 94/92 (1994).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. J. Ellis, N. E. mavromatos andD. V. Nanopoulos: CERN-TH.6896/93, ENS-LAPP-A426-93, CTP-TAMU-29/93, ACT-09/93, hep-th/9305116; CERN-TH.6897/93, ENS-LAPP-A427-93, CTP-TAMU-30/93, ACT-10/93, hep-th/9305117.

  32. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,276, 56 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  33. For a review see,C. Pope, L. Romans andX. Shen: inString 90, edited byR. Arnowitt et al. (World Scientific, Singapore, 1991), p. 287.

    Chapter  Google Scholar 

  34. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,267, 465 (1991);272, 261 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  35. E. Witten:Commun. Math. Phys.,117, 353 (1988);T. Eguchi andS. K. Yang:Mod. Phys. Lett. A,5, 1693 (1990).

    Article  ADS  MATH  Google Scholar 

  36. T. Eguchi:Mod. Phys. Lett. A,7, 85 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,288, 23 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  38. M. Evans andB. Ovrut:Phys. Rev. D,4, 3149 (1990);Phys. Lett. B,231, 80 (1989);M. Evans andI. Giannakis:Phys. Rev. D,44, 2467 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  39. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,284, 27, 43 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  40. A. Pruisken:Nucl. Phys. B,235 [FS11], 277 (1984);H. Levine, S. Libby, andA. Pruisken:Phys. Rev. Lett.,51, 1915 (1983);Nucl. Phys. B,240 [FS12], 30, 49, 71 (1984).

  41. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,296, 40 (1992).

    Article  ADS  Google Scholar 

  42. A. Pruisken:Nucl. Phys. B,290 [FS20], 61 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  43. C. A. Lütken andG. G. Ross: Oxford preprint OUTP-92-22P (1992) and references therein.

  44. R. P. Feynman andF. L. Vernon jr.:Ann. Phys. (N.Y.),94, 118 (1963);A. O. Caldeira andA. J. Leggett:Ann. Phys.,149, 374 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  45. J. Ellis, S. Mohanty andD. V. Nanopoulos:Phys. Lett. B,221, 113 (1989);235, 305 (1990).

    Article  ADS  Google Scholar 

  46. For a review see,A. B. Lahanas andD. V. Nanopoulos:Phys. Rep.,145, 1 (1987).

    Article  ADS  Google Scholar 

  47. E. Witten:Phys. Lett. B,155, 151 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  48. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,293, 142 (1992); CERN and Texas A&M University preprint CERN-TH.6755/92; ACT-23/92; CTP-TAMU-83/92; hep.th/9212057.

    Article  MathSciNet  ADS  Google Scholar 

  49. J. Ellis, J. Lopez, N. E. Mavromatos andD. V. Nanopoulos: in preparation;J. Lopez: inRecent Advances in the Superworld, Proceedings of the HARC Workshop, The Woodlands, April 14–16, 1993, edited byJ. L. Lopez andD. V. Nanopoulos (World Scientific, Singapore, 1994), p. 272.

    Google Scholar 

  50. P. Huet andM. Peskin: SLAC (Stanford) preprint SLAC-PUB-6454 (1994), hep-ph/9403257;P. Huet: SLAC-PUB-6491 (1994), hep-pg/9405280.

  51. J. Ellis, N. E. Mavromatos andD. V. Nanopoulos:Phys. Lett. B,278, 246 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  52. J. L. Lopez andD. V. Nanopoulos: Texas A&M University preprint CTP-TAMU-06/94; hep-hp/9402275,Mod. Phys. Lett. A, in press.

  53. For a review see,e.g.,I. Klebanov: inString Theory and Quantum Gravity, Proceedings of the Trieste Spring School, 1991, edited byJ. Harvey et al. (World Scientific, Singapore, 1991) and references therein.

    Google Scholar 

  54. S. Chaudhuri andJ. Lykken:Nucl. Phys. B,396, 270 (1993).

    Article  MathSciNet  ADS  Google Scholar 

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Nanopoulos, D.V. As time goes by .... Riv. Nuovo Cim. 17, 1–53 (1994). https://doi.org/10.1007/BF02724512

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