Curve it, gauge it, or leave it? Practical underdetermination in gravitational theories

Journal for General Philosophy of Science

Volumn 34, Issue 2, 2003, Pages 277-303

  Lyre, Holger ^a   Eynck, Tim Oliver ^b  

^a UNIVERSITY OF BONN   (Germany)

^b NIKHEF   (Netherlands)

Author keywords

Fiber bundles; Gauge theories of gravity; Ontological underdetermination

Indexed keywords

EID: 85000893357     PISSN: 09254560     EISSN: 15728587     Source Type: Journal    
DOI: 10.1023/B:JGPS.0000005161.79937.ab     Document Type: Article

References (47)

1. Auyang, S. Y.: 1995, How is Quantum Field Theory Possible? Oxford University Press, New York.
2. Barbour, J. B.: 1967, Zur Herleitung der Einsteinschen Gravitationstheorie aus den Prinzipien klassischer lorentzinvarianter Feldtheorien. PhD thesis, Universität zu Köln
3. Callender, C. and Huggett, N.: 2001, Physics meets Philosophy at the Planck Scale, Cambridge University Press, Cambridge.
4. Callender, C. and Weingard, R.: (2000), ‘Topology Change and the Unity of Space’, Studies in History and Philosophy of Modern Physics 31, 227-246.
5. Cho, Y. M., 1976, ‘Einstein Lagrangian as the translational Yang-Mills Lagrangian’, Physical Review D 14(10), 2521-2525.
6. Earman, J.: 2002, ‘Gauge Matters’, Philosophy of Science 69(3), S209-S220 (Supplement).
7. Eynck, T. O., Lyre, H. and Rummell, N. v.: 2001, A versus B! Topological nonseparability and the Aharonov-Bohm effect, Conference lecture at “Quantum Structures V”, Italy. (E-print PITT-PHIL-SCI00000404).
8. Feynman, R. P., Morinigo, F. B. nd Wagner, W. G.: 1995, Feynman Lectures on Gravitation, California Institute of Technology.
9. Gardner, M.: 1952, Fads and Fallacies in the Name of Science, Dover, New York, (Second edition 1957).
10. Glymour, C.: 1973, ‘Topology, Cosmology and Convention’, in P. Suppes (ed.), Space, Time and Geometry, Reidel, Dordrecht.
11. Gronwald, F.: 1998, ‘A Note on Gauge Covariant Translations in the Gauge Approach to Gravity’, Acta Physica Polonica B 29(4), 1121-1129.
12. Gupta, S. N.: 1952, Quantization of Einstein’s Gravitational Field: Linear Approximation, Proceedings of the Royal Society of London, 65A, 161-169.
13. Gupta, S. N.: 1957, ‘Einstein’s and Other Theories of Gravitation’, Reviews of Modern Physics 29, 337.
14. Hehl, F. W.: 1981, ‘Zur Eichfeldtheorie der Gravitation’, in J. Nitsch, J. Pfarr and E.-W. Stachow (eds), Grundlagenprobleme der modernen Physik, B.I.-Wissenschaftsverlag, Mannheim.
15. Hehl, F. W., Heyde, P. v.d., Kerlick, G. D. and Nester, J. M.: 1976, ‘General Relativity with Spin and Torsion: Foundations and Prospects’, Reviews of Modern Physics 48, 393-416.
16. Hehl, F. W., McCrea, J. D., Mielke, E. W. and Ne’eman, Y.: 1995, ‘Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance’, Physics Reports 258, 1-171.
17. Hehl, F. W., Nitsch, J. and Heyde, P. v.d.: 1980, Gravitation and the Poincaré Gauge Field Theory with Quadratic Lagrangian, in Held (1980).
18. Held, A.: 1980, General Relativity and Gravitation: One Hundred Years after the Birth of Albert Einstein, Plenum Press, New York, 2 Volumes.
19. Hoefer, C. and Rosenberg, A.: 1994, ‘Empirical Equivalence, Underdetermination, and Systems of the World’, Philosophy of Science 61, 592-607.
20. Ivanenko, D. and Sardanashvily, G.: 1983, ‘The Gauge Treatment of Gravity’, Physics Reports 94(1): 1-45.
21. Kibble, T. W. B.: 1961, ‘Lorentz Invariance and the Gravitational Field’, Journal of Mathematical Physics 2: 212.
22. Kukla, A.: 1993, ‘Laudan, Leplin, Empirical Equivalence and Underdetermination’, Analysis 53: 1-7.
23. Laudan, L. and Leplin, J.: 1991, ‘Empirical Equivalence and Underdetermination’, Journal of Philosophy 88, 449-472.
24. Leplin, J. and Laudan, L.: 1993, ‘Determination Underdeterred: Reply to Kukla’, Analysis 53, 8-16.
25. Liu, C.: 2001, Gauge Gravity and the Unification of Natural Forces, (E-print PITT-PHIL-SCI00000364).
26. Lyre, H.: 1999, Gauges, Holes, and their ‘Connections’, Conference lecture at “History and Foundations of General Relativity 5”, Notre Dame, Indiana. (E-print gr-qc/9904036)
27. Lyre, H.: 2000, ‘A Generalized Equivalence Principle’, International Journal of Modern Physics D 9(6): 633-647.
28. Lyre, H.: 2001, ‘The Principles of Gauging’, Philosophy of Science 68(3): S371-S381 (Supplement).
29. Mielke, E. W.: 1987, Geometrodynamics of Gauge Fields. Akademie-Verlag, Berlin.
30. Mittelstaedt, P. and Barbour, J. B.: 1967, ‘On the Geometrical Interpretation of the Theory of Gravitation in Flat Space’, Zeitschrift für Physik 203, 82-90.
31. Neeman, Y.: 1980, Gravity, Groups, and Gauges, in Held, 1980.
32. O’Raifeartaigh, L.: 1995, The Dawning of Gauge Theory, Princeton University Press, Princeton.
33. O’Raifeartaigh, L. and Straumann, L.: 2000, ‘Gauge Theory: Historical Origins and Some Modern Developments’, Reviews of Modern Physics 72(1): 1-23.
34. Quine, W. V.: 1960, Word and Object, The MIT Press, Cambridge, Mass.
35. Quine, W. V.: 1975, ‘On Empirically Equivalent Systems of the World’, Erkenntnis 9, 313-328.
36. Quine, W. V.: 1990, ‘Three Indeterminacies’, in R. B. Barrett and R. F. Gibson (eds), Perspectives on Quine, Blackwell, Oxford.
37. Sciama, D. W.: 1962, ‘On the Analogy between Charge and Spin in General Relativity’, in Recent Developments in General Relativity, Pergamon Press, Oxford
38. Sexl, R. U.: 1983, ‘Die Hohlwelttheorie’, Der mathematische und naturwissenschaftliche Unterricht 36(8), 453-460.
39. Stanford, P. K.: 2001, ‘Refusing the Devil’s Bargain: What Kind of Underdetermination Should We Take Seriously?’, Philosophy of Science 68(3), S1-S12 (Supplement)
40. Thirring, W.: 1959, ‘Lorentz-invariante Gravitationstheorien’, Fortschritte der Physik 7, 79-101.
41. Thirring, W.: 1961, ‘An Alternative Approach to the Theory of Gravitation’, Annals of Physics 16, 96-117.
42. Trautman, A.: 1980, Fiber Bundles, Gauge Fields, and Gravitation, in Held (1980).
43. Utiyama, R.: 1956, ‘Invariant Theoretical Interpretation of Interaction’, Physical Review 101(5), 1597-1607.
44. Utiyama, R.: 1980, ‘Introduction to the Theory of General Gauge Fields’, Progress of Theoretical Physics 64(6), 2207-2221.
45. van Fraassen, B. C.: 1980, The Scientific Image, Clarendon Press, Oxford.
46. Weinstein, S.: 1999, ‘Gravity and Gauge Theory’, Philosophy of Science 66(3), S146-S155 (Supplement).
47. Weyl, H.: 1929, ‘Elektron und Gravitation’, Zeitschrift für Physik, 330-352