Skip to main content
Log in

Evolution of the inertial frame of the Universe

Эволюция инерциальной системы Вселенной

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The concept of the inertial frame of the Universe is discussed and its possible evolution treated within a causally symmetric framework modelling the empty cosmos as the universal maximal one. A simple theoretical description of the evolution in terms of a stochastic process dependent on a single parameter, which would be in principle observable, is proposed. It is invariant under the full 15-parameter causal group\(\widetilde{SU}_{2.2} /Z_2 \) of the Einstein universe, to which the universal cosmos is conformally equivalent.

Riassunto

Si discute il concetto di sistema inerziale dell’Universo e si tratta la sua possibile evoluzione nell’àmbito di un sistema causalmente simmetrico che modella cosmi vuoti come quello universale massimale. Si propone una semplice descrizione teorica dell’evoluzione in termini di un processo stocastico che dipende da un parametro singolo che sarebbe, in linea di principio, osservabile. Essa è invariante secondo il gruppo completo causale a 15 parametri\(\widetilde{SU}_{2.2} /Z_2 \) dell’universo di Einstein, al quale il cosmo universale è conformenente equivalente.

Резюме

Обсуждается концепция инерциальной системы Вселенной. Рассматривается возможная эволюция в причнино симметричном нодходе. Предлагается простое теоретическое описание эволюции в терминах стохастического процесса, зависящего от единственного параметра, который, вообще говоря, может быть наблюдаемым. Этот подход является инвариантным относительно полной 15-параметрической причинной группы\(\widetilde{SU}_{2.2} /Z_2 \) Вселенной Эйнштейна, в которой универсальный космос является конформно эквивалентным.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. E. Segal:Int. J. Theor. Phys.,21, 851 (1982), and references therein.

    Article  Google Scholar 

  2. C. F. von Weizsäcker:Br. J. Philos. Sci.,24, 321 (1973), and additional references given in his contributions to the series of conferences inQuantum Theory and the Structures of Time and Space, Vol.3 (Munich, 1978); cf. alsoI. E. Segal inQuantum Theory and the Structures of time and Space, Vol.2 (Munich, 1977), p. 113.

    Article  MATH  Google Scholar 

  3. I. E. Segal:Maxwell’s influence on geometry, inProceedings of the Symposium on the 150th Anniversary J. C. Maxwell, Amherst, Mass., October 1981, in press.

  4. A. D. Alexandrov andV. V. Ovchinnikova:Vestn. Leningr. Univ.,11, 95 (1953);E. C. Zeeman:J. Math. Phys.,5, 490 (1964);M. Flato andD. Sternheimer:C. R. Acad. Sci. (Paris), Ser. A,263, 935 (1966).

    Google Scholar 

  5. J. L. Tits:Colloque sur la théorie de la relativité, Centre Belge Recherches Mathématiques (1960), p. 107;Bull. Soc. Math. Belg.,31, 171 (1979).

  6. E. Vinberg:Tr. Mosk. Nat. Obsc.,12, 303 (1963).

    MathSciNet  Google Scholar 

  7. S. M. Paneitz andI. E. Segal:J. Funct. Anal.,47, 78 (1982);49, 335 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  8. J. F. Nicoll, I. E. Segal, D. Johnson andW. Segal:Proc. Natl. Acad. Sci. U.S.A.,77, 6275 (1980);J. F. Nicoll andI. E. Segal:Proc. Natl. Acad. Sci. U.S.A.,79, 3913 (1982);Astron. Astrophys.,118, 180 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  9. I. E. Segal:Astron. Soc. Jpn. Publ.,34, 507 (1982);P. S. Osmer:Astrophys. J.,253, 28 (1982);B. E. Peterson, A. Savage, D. L. Jauncey andA. E. Wright:Astrophys. J.,260, L27 (1982);E. J. Wampler, L. B. Robinson, E. M. Burbidge andJ. A. Baldwin:Nature (London),243, 336 (1973).

    ADS  Google Scholar 

  10. J. F. Nicoll andI. E. Segal:Astron. Astrophys.,115, 398 (1982).

    ADS  Google Scholar 

  11. I. E. Segal:Proc. Natl. Acad. Sci. U.S.A.,73, 669 (1976).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work is dedicated to Dr.C. F. von Weizsäcker on the occasion of the 1982 Tutzing Conference onQuantum Theory and the Structures of Time and Space.

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Segal, I.E. Evolution of the inertial frame of the Universe. Nuov Cim B 79, 187–192 (1984). https://doi.org/10.1007/BF02748970

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02748970

PACS

Navigation