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Canonical quantum gravity and the problem of time
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
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
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
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
TLDR
This book is the first volume of a set of three entitled Analysis of Operators and Operator Algebras.
“What is a Thing?”: Topos Theory in the Foundations of Physics
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
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
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
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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