메뉴 건너뛰기




Volumn 237, Issue 1-2, 2003, Pages 203-220

On deriving space-time from quantum observables and states

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037972654     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0865-x     Document Type: Article
Times cited : (9)

References (37)
  • 1
    • 0038782429 scopus 로고
    • Begründung der absoluten Geometrie des Raumes aus dem Spiegelungsbegriff
    • Ahrens, J.: Begründung der absoluten Geometrie des Raumes aus dem Spiegelungsbegriff. Math. Zeitschr. 71, 154-185 (1959)
    • (1959) Math. Zeitschr. , vol.71 , pp. 154-185
    • Ahrens, J.1
  • 2
    • 0011657331 scopus 로고
    • Riemannian structure of space- time as a consequence of quantum mechanics
    • Audretsch, J.: Riemannian structure of space- time as a consequence of quantum mechanics. Phys. Rev. D27, 2872-2884 (1983)
    • (1983) Phys. Rev. , vol.D27 , pp. 2872-2884
    • Audretsch, J.1
  • 3
    • 21844524332 scopus 로고
    • The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics
    • Audretsch, J., Lämmerzahl, C.: The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics. Gen. Rel. Grav. 27, 233-246 (1995)
    • (1995) Gen. Rel. Grav. , vol.27 , pp. 233-246
    • Audretsch, J.1    Lämmerzahl, C.2
  • 6
    • 21844505031 scopus 로고
    • Intrinsic algebraic characterization of space-time structure
    • Bannier, U.: Intrinsic algebraic characterization of space-time structure. Int. J. Theor. Phys. 33, 1797 1809 (1994)
    • (1994) Int. J. Theor. Phys. , vol.33 , pp. 1797-1809
    • Bannier, U.1
  • 8
    • 0038105373 scopus 로고
    • Affine and projective planes
    • Cambridge, Mass: MIT Press
    • Bauer, A., Lingenberg, R.: Affine and projective planes. In: Fundamentals of Mathematics, Vol. 2 Cambridge, Mass: MIT Press, 1986
    • (1986) Fundamentals of Mathematics , vol.2
    • Bauer, A.1    Lingenberg, R.2
  • 9
    • 36749106982 scopus 로고
    • On the duality condition for a hermitian scalar field
    • Bisognano, J., Wichmann, E.H.: On the duality condition for a hermitian scalar field. J. Math. Phys. 16, 985-1007 (1975)
    • (1975) J. Math. Phys. , vol.16 , pp. 985-1007
    • Bisognano, J.1    Wichmann, E.H.2
  • 10
    • 0007190767 scopus 로고
    • On modular inclusion and spectrum condition
    • Borchers, H.-J.: On modular inclusion and spectrum condition. Lett. Math. Phys. 27, 311-324 (1993)
    • (1993) Lett. Math. Phys. , vol.27 , pp. 311-324
    • Borchers, H.-J.1
  • 11
    • 0034394337 scopus 로고    scopus 로고
    • On revolutionizing quantum field theory with Tomita's modular theory
    • Borchers, H.-J.: On revolutionizing quantum field theory with Tomita's modular theory. J. Math. Phys. 41, 3604-3673 (2000)
    • (2000) J. Math. Phys. , vol.41 , pp. 3604-3673
    • Borchers, H.-J.1
  • 13
    • 21344484129 scopus 로고
    • An algebraic characterization of vacuum states in Minkowski space
    • Buchholz, D., Summers, S.J.: An algebraic characterization of vacuum states in Minkowski space. Commun. Math. Phys. 155, 449-458 (1993)
    • (1993) Commun. Math. Phys. , vol.155 , pp. 449-458
    • Buchholz, D.1    Summers, S.J.2
  • 14
    • 0002335705 scopus 로고    scopus 로고
    • An algebraic characterization of vacuum states in Minkowski space, II
    • Buchholz, D., Florig, M., Summers, S.J.: An algebraic characterization of vacuum states in Minkowski space, II. Lett. Math. Phys. 49, 337-350 (1999)
    • (1999) Lett. Math. Phys. , vol.49 , pp. 337-350
    • Buchholz, D.1    Florig, M.2    Summers, S.J.3
  • 15
  • 16
    • 0034340655 scopus 로고    scopus 로고
    • The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time
    • Buchholz, D., Florig, M., Summers, S.J.: The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time. Class. Quant. Grav. 17, L31-L37 (2000)
    • (2000) Class. Quant. Grav. , vol.17
    • Buchholz, D.1    Florig, M.2    Summers, S.J.3
  • 17
    • 0011423787 scopus 로고    scopus 로고
    • Transplantation of local nets and geometric modular action on robertson-walker space-times
    • Buchholz, D., Mund, J., Summers, S.J.: Transplantation of local nets and geometric modular action on Robertson-Walker space-times. Fields Inst. Commun. 30, 65-81 (2001)
    • (2001) Fields Inst. Commun. , vol.30 , pp. 65-81
    • Buchholz, D.1    Mund, J.2    Summers, S.J.3
  • 18
    • 0038782434 scopus 로고    scopus 로고
    • An algebraic characterization of vacuum states in Minkowski space
    • Manuscript in preparation
    • Buchholz, D., Summers, S.J.: An algebraic characterization of vacuum states in Minkowski space, III: Poincaré covariance. Manuscript in preparation
    • III: Poincaré Covariance
    • Buchholz, D.1    Summers, S.J.2
  • 22
    • 0037767786 scopus 로고
    • A geometrical background for DeSitter's world
    • Coxeter, H.S.M.: A geometrical background for DeSitter's world. Amer. Math. Monthly 50, 217-228 (1943)
    • (1943) Amer. Math. Monthly , vol.50 , pp. 217-228
    • Coxeter, H.S.M.1
  • 26
    • 0003307438 scopus 로고
    • The geometry of free fall and light propagation
    • L. O'Raifeartaigh (ed). Oxford: Clarendon Press
    • Ehlers, J., Pirani, F.A.E., Schild, A.: The geometry of free fall and light propagation. In: General Relativity, L. O'Raifeartaigh (ed). Oxford: Clarendon Press, 1972
    • (1972) General Relativity
    • Ehlers, J.1    Pirani, F.A.E.2    Schild, A.3
  • 27
    • 0037767785 scopus 로고    scopus 로고
    • Ph.D. Dissertation, University of Florida
    • Florig, M.: Geometric Modular Action. Ph.D. Dissertation, University of Florida, 1999
    • (1999) Geometric Modular Action
    • Florig, M.1
  • 28
    • 0038782436 scopus 로고
    • Global observables in local quantum physics
    • Amsterdam: Kluwer Academic Publishers
    • Fredenhagen, K.: Global observables in local quantum physics. In: Quantum and Non-Commutative Analysis, Amsterdam: Kluwer Academic Publishers, 1993
    • (1993) Quantum and Non-Commutative Analysis
    • Fredenhagen, K.1
  • 29
    • 0003967625 scopus 로고
    • Berlin: Springer-Verlag (A second edition was released in 1996.)
    • Haag, R.: Local Quantum Physics. Berlin: Springer-Verlag, 1992 (A second edition was released in 1996.)
    • (1992) Local Quantum Physics
    • Haag, R.1
  • 31
    • 0035580575 scopus 로고    scopus 로고
    • Modular theory and the reconstruction of four-dimensional quantum field theories
    • Kähler, R., Wiesbrock, H.-W.: Modular theory and the reconstruction of four-dimensional quantum field theories. J. Math. Phys. 42, 74-86 (2001)
    • (2001) J. Math. Phys. , vol.42 , pp. 74-86
    • Kähler, R.1    Wiesbrock, H.-W.2
  • 32
  • 33
    • 0038444676 scopus 로고    scopus 로고
    • Geometric modular action and transformation groups
    • Summers, S.J.: Geometric modular action and transformation groups. Ann. Inst. Henri Poincaré 64, 409-432 (1996)
    • (1996) Ann. Inst. Henri Poincaré , vol.64 , pp. 409-432
    • Summers, S.J.1
  • 34
    • 0003451937 scopus 로고
    • Tomita's theory of modular hubert algebras and its applications
    • Berlin, Heidelberg and New York: Springer-Verlag
    • Takesaki, M.: Tomita's Theory of Modular Hubert Algebras and its Applications. Lecture Notes in Mathematics, Vol. 128. Berlin, Heidelberg and New York: Springer-Verlag, 1970
    • (1970) Lecture Notes in Mathematics , vol.128
    • Takesaki, M.1
  • 36
    • 0032478454 scopus 로고    scopus 로고
    • Modular intersections of von Neumann algebras in quantum field theory
    • Wiesbrock, H.-W.: Modular intersections of von Neumann algebras in quantum field theory. Commun. Math. Phys. 193, 269-285 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , pp. 269-285
    • Wiesbrock, H.-W.1
  • 37
    • 0038444668 scopus 로고
    • Minkowskische und absolute geometrie
    • Wolff, H.: Minkowskische und absolute Geometrie, I. Math. Ann. 171, 144-164 (1967)
    • (1967) I. Math. Ann. , vol.171 , pp. 144-164
    • Wolff, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.