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Canonical quantum gravity and the problem of time
- C. Isham
- Philosophy
- 21 October 1992
The aim of this paper is to provide a general introduction to the problem of time in quantum gravity. This problem originates in the fundamental conflict between the way the concept of ‘time’ is used…
A Topos Perspective on the Kochen-Specker Theorem II. Conceptual Aspects and Classical Analogues
- J. Butterfield, C. Isham
- Philosophy
- 31 August 1998
In a previous paper, we proposed assigning asthe value of a physical quantity in quantum theory acertain kind of set (a sieve) of quantities that arefunctions of the given quantity. The motivation…
Lectures On Quantum Theory: Mathematical And Structural Foundations
- C. Isham
- Physics
- 1 September 1995
Vector spaces linear operators properties in classical physics the general formalism of quantum theory technical developments unitary operators in quantum theory some conceptual issues in quantum…
Representations of the holonomy algebras of gravity and nonAbelian gauge theories
- A. Ashtekar, C. Isham
- Mathematics
- 15 February 1992
Holonomy algebras arise naturally in the classical description of Yang-Mills fields and gravity, and it has been suggested, at a heuristic level, that they may also play an important role in a…
Methods of Modern Mathematical Physics, Vol 1: Functional Analysis
- C. Isham
- Mathematics
- 1 December 1972
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“What is a Thing?”: Topos Theory in the Foundations of Physics
- A. Doering, C. Isham
- Philosophy, Physics
- 4 March 2008
The goal of this article is to summarise the first steps in developing a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues…
Spacetime and the Philosophical Challenge of Quantum Gravity
- J. Butterfield, C. Isham
- Physics
- 2001
We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient…
A topos foundation for theories of physics: II. Daseinisation and the liberation of quantum theory
- A. Doering, C. Isham
- Physics
- 7 March 2007
This paper is the second in a series whose goal is to develop a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues that arise…
Quantum Concepts in Space and Time
- R. Penrose, C. Isham
- Physics, Philosophy
- 1986
Recent developments in quantum theory have focused attention on fundamental questions, in particular on whether it might be necessary to modify quantum mechanics to reconcile quantum gravity and…
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