메뉴 건너뛰기




Volumn 34, Issue 5, 2004, Pages 843-869

Exotic smoothness and noncommutative spaces. The model-theoretical approach

Author keywords

Decoherence; Exotic R4; Noncommutative spaces; Quantum mechanics

Indexed keywords


EID: 1842616008     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FOOP.0000022189.71690.34     Document Type: Article
Times cited : (20)

References (24)
  • 1
    • 21144473655 scopus 로고
    • Exotic differentiable structures and general relativity
    • C. H. Brans and D. Randall, "Exotic differentiable structures and general relativity," Gen. Relativity Gravitation 25, 205 (1993).
    • (1993) Gen. Relativity Gravitation , vol.25 , pp. 205
    • Brans, C.H.1    Randall, D.2
  • 2
    • 84972496726 scopus 로고
    • The topology of four-dimensional manifolds
    • M. H. Freedman, "The topology of four-dimensional manifolds," J. Differential Geom. 17, 357-453 (1982).
    • (1982) J. Differential Geom. , vol.17 , pp. 357-453
    • Freedman, M.H.1
  • 3
    • 0001112897 scopus 로고
    • J. W. Milnor, Ann. Math. 64, 399 (1959); Amer. J. Math. 81, 962 (1959).
    • (1959) Ann. Math. , vol.64 , pp. 399
    • Milnor, J.W.1
  • 4
    • 4043176582 scopus 로고
    • J. W. Milnor, Ann. Math. 64, 399 (1959); Amer. J. Math. 81, 962 (1959).
    • (1959) Amer. J. Math. , vol.81 , pp. 962
  • 5
    • 0035733098 scopus 로고    scopus 로고
    • Second-order logic and foundations of mathematics
    • J. Väänänen, "Second-order logic and foundations of mathematics," Bull. Symbolic Logic 7(4), 504 (2001).
    • (2001) Bull. Symbolic Logic , vol.7 , Issue.4 , pp. 504
    • Väänänen, J.1
  • 6
    • 3242690846 scopus 로고    scopus 로고
    • An invariant of smooth 4-manifolds
    • L. R. Taylor, "An invariant of smooth 4-manifolds," Geom. Topol. 1, 71-89 (1997).
    • (1997) Geom. Topol. , vol.1 , pp. 71-89
    • Taylor, L.R.1
  • 7
    • 1542380565 scopus 로고    scopus 로고
    • Background independence in quantum gravity and forcing constructions
    • J. Król, "Background independence in quantum gravity and forcing constructions," Found. Phys. 34(3) (2004).
    • (2004) Found. Phys. , vol.34 , Issue.3
    • Król, J.1
  • 9
    • 4043128492 scopus 로고    scopus 로고
    • Language is physical
    • P. Benioff, "Language is physical," Quant. Info. Proc. 1, 495-510 (2002).
    • (2002) Quant. Info. Proc. , vol.1 , pp. 495-510
    • Benioff, P.1
  • 10
    • 0031526805 scopus 로고    scopus 로고
    • Generation of source terms in general relativity by differential structures
    • T. Asselmeyer, "Generation of source terms in general relativity by differential structures," Classical Quantum Gravity 14, 749-758 (1997).
    • (1997) Classical Quantum Gravity , vol.14 , pp. 749-758
    • Asselmeyer, T.1
  • 16
    • 0141631548 scopus 로고    scopus 로고
    • Springer, Berlin, Heildelberg
    • T. Jech, Set Theory, 2nd edn. (Springer, Berlin, Heildelberg, 1997).
    • (1997) Set Theory, 2nd Edn.
    • Jech, T.1
  • 18
    • 21844497986 scopus 로고
    • Exotic smoothness and physics
    • C. H. Brans, "Exotic smoothness and physics," J. Math. Phys. 35, 5494 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 5494
    • Brans, C.H.1
  • 20
    • 85139770853 scopus 로고    scopus 로고
    • 4 and duality in mathematics. Applications to physics
    • submitted
    • 4 and duality in mathematics. Applications to physics," submitted to J. Geom. Phys.
    • J. Geom. Phys.
    • Król, J.1
  • 21
    • 0041355339 scopus 로고    scopus 로고
    • Set theoretical forcing in quantum mechanics and AdS/CFT correspondence
    • quant-ph/0303089
    • J. Król, "Set theoretical forcing in quantum mechanics and AdS/CFT correspondence," Internat. J. Theoret. Phys. 42(5), 921-935 (2003); quant-ph/0303089.
    • (2003) Internat. J. Theoret. Phys. , vol.42 , Issue.5 , pp. 921-935
    • Król, J.1
  • 22
    • 4043120054 scopus 로고    scopus 로고
    • Introduction to (M)atrix theory and noncommutative geometry, I, II
    • hep-th/0107251, hep-th/2145001
    • A. Konechny and A. Schwarz, "Introduction to (M)atrix theory and noncommutative geometry, I, II," Phys. Rep. 360, 355-465 (2002); hep-th/0107251, hep-th/0012145.
    • (2002) Phys. Rep. , vol.360 , pp. 355-465
    • Konechny, A.1    Schwarz, A.2
  • 23
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • E. Witten and N. Seiberg, "String theory and noncommutative geometry," JHEP 9909, 032 (1999).
    • (1999) JHEP , vol.9909 , pp. 032
    • Witten, E.1    Seiberg, N.2
  • 24
    • 84966210732 scopus 로고
    • An explicit family of exotic Casson handles
    • Ž. Bižaca, "An explicit family of exotic Casson handles," Proc. Amer. Math. Soc. 123(4), 1297 (1995).
    • (1995) Proc. Amer. Math. Soc. , vol.123 , Issue.4 , pp. 1297
    • Bižaca, Ž.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.