Quantum Quandaries : A Category-Theoretic Perspective

@inproceedings{Baez2004QuantumQ,
  title={Quantum Quandaries : A Category-Theoretic Perspective},
  author={John C. Baez},
  year={2004}
}
General relativity may seem very different from quantum theory, but work on quantum gravity has revealed a deep analogy between the two. General relativity makes heavy use of the category nCob, whose objects are (n − 1)-dimensional manifolds representing ‘space’ and whose morphisms are n-dimensional cobordisms representing ‘spacetime’. Quantum theory makes heavy use of the category Hilb, whose objects are Hilbert spaces used to describe ‘states’, and whose morphisms are bounded linear operators… CONTINUE READING
Highly Cited
This paper has 76 citations. REVIEW CITATIONS
55 Citations
30 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 30 references

The definition of a conformal field theory

  • G. Segal
  • Topology, Geometry and Quantum Field Theory…
  • 2004
2 Excerpts

The empty set

  • A. Kanamori
  • the singleton, and the ordered pair, Bull. Symb…
  • 2003
1 Excerpt

Operads in Algebra

  • M. Markl, S. Shnider, J. Stasheff
  • Topology and Physics, American Mathematical…
  • 2002
1 Excerpt

Toposes as theories

  • P. Johnstone
  • Sketches of an Elephant: A Topos Theory…
  • 2002
1 Excerpt

Weyling the time away: the non-unitary implementability of quantum field dynamics on curved spacetime

  • A. Arageorgis, J. Earman, L. Ruetsche
  • Studies in the History and Philosophy of Modern…
  • 2002
2 Excerpts

Three Roads to Quantum Gravity

  • L. Smolin
  • Basic Books, New York
  • 2001
1 Excerpt

Spin foam models , Class

  • H. Gausterer, H. Grosse
  • Geometry and Quantum Physics
  • 2000

Similar Papers

Loading similar papers…