quantum gravity programs

Quantum Gravity Programs

There are several distinct programs aimed at developing a quantum gravity theory. These include-but are not limited to- the following.

Most of the quantum gravity programs are consistent with the Big-Bang theory, or the theory of a rapidly expanding universe, although none `prove' the necessity of its existence. Several competing and conflicting theories were reported that deal with singularities in spacetime, such as black holes `without hair', evaporating black holes and naked singularities.

Bibliography

1
J. Baez. 2004. Quantum quandaries : a category theory perspective, in Structural Foundations of Quantum Gravity, (ed. S. French et al.) Oxford Univ. Press.

2
J. Baez. 2002. Categorified Gauge Theory. in Proceedings of the Pacific Northwest Geometry Seminar Cascade Topology Seminar,Spring Meeting-May 11 and 12, 2002. University of Washington, Seattle, WA.

3
I.C. Baianu, James Glazebrook, G. Georgescu and Ronald Brown. 2008.``Generalized `Topos' Representations of Quantum Space-Time: Linking Quantum $ N$ -Valued Logics with Categories and Higher Dimensional Algebra.'', (Preprint)

4
J. Butterfield and C. J. Isham : A topos perspective on the Kochen-Specker theorem I - IV, Int. J. Theor. Phys, 37 (1998) No 11., 2669-2733 38 (1999) No 3., 827-859, 39 (2000) No 6., 1413-1436, 41 (2002) No 4., 613-639.

5

J. Butterfield and C. J. Isham : Some possible roles for topos theory in quantum theory and quantum gravity, Foundations of Physics.

6
F.M. Fernandez and E. A. Castro. 1996. (Lie) Algebraic Methods in Quantum Chemistry and Physics., Boca Raton: CRC Press, Inc.

7
Feynman, R. P., 1948, ``Space-Time Approach to Non-Relativistic Quantum Mechanics'', Reviews of Modern Physics, 20: 367-387. [It is reprinted in (Schwinger 1958).]

8
S. W. Hawking and R. Penrose. 2000. The Nature of Space and Time. Princeton and Oxford: Princeton University Press.

9
R. J. Plymen and P. L. Robinson: Spinors in Hilbert Space. Cambridge Tracts in Math. 114, Cambridge Univ. Press 1994.

10
I. Raptis : Algebraic quantisation of causal sets, Int. Jour. Theor. Phys. 39 (2000), 1233.

11
I. Raptis : Quantum space-time as a quantum causal set, $ arXiv:gr-qc/0201004$ .

12
J. E. Roberts : More lectures on algebraic quantum field theory (in A. Connes, et al. (Non-commutative Geometry), Springer (2004).

13
C. Rovelli : Loop quantum gravity (1997), $ arXiv:gr--qc/9710008$ .

14
Jan Smit. 2002. Quantum Field Theory on a Lattice.

15
S. Weinberg.1995-2000. The Quantum Theory of Fields. Cambridge, New York and Madrid: Cambridge University Press, Vols. 1 to 3.

16
Wess and Bagger. 2000. Supergravity. (Weinberg)



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