Search
Search Results
-
-
-
-
The Laplace Transform on Time Scales
Let \(\mathbb {T}\) be a time scale with forward jump...
-
First Steps to a Theory of Quantum Gravity
This chapter covers the attempt to quantise general relativity, through a reformulation in terms of the Ashtekar variables. These are introduced, and...
-
Kinematical Hilbert Space
This chapter covers the conceptual structure of spacetime in terms of loop states, as well as the formulation of operators which extract physical...
-
Expanding on Classical GR
This chapter covers the reformulation of classical general relativity in both the Lagrangian and Hamiltonian frameworks. In the first case this...
-
Dynamics of Spin Networks
This chapter covers the dynamics of quantum spacetime, utilising networks labelled with spin representations to describe kinematical states, and...
-
Boundary Value Problems for Caputo Fractional Dynamic Equations
Let \(\mathbb {T}\) be a time scale with forward jump...
-
Boundary Value Problems for Riemann-Liouville Fractional Dynamic Equations
Suppose that \(\mathbb {T}\) is a time scale with forward...
-
Impulsive Riemann-Liouville Fractional Dynamic Equations
Let \(\mathbb {T}\) be a time scale with forward jump...
-
Quantum Field Theory
This chapter covers the essentials of quantum field theory. Topics discussed include the curvature of gauge fields and the definition of the...
-
Introduction
This chapter covers the historical basis of the quest for a theory of quantum gravity. The discussion includes the development of quantum theory in...
-
-
Elements of Fractional Dynamic Calculus on Time Scales
In this chapter we introduce the basic definitions and results of the fractional dynamic calculus on time scales.
-
Generalized Convolutions on Time Scales
Suppose that \(t_0\in \mathbb {T}\) ,...
-
Impulsive Caputo Fractional Dynamic Equations
Let \(\mathbb {T}\) be a time scale with forward jump...
-
Discussion
This chapter covers several common objections to loop quantum gravity, and addresses them one-by-one to build a clear picture of the true state of...
-
Classical GR
This chapter covers the essential aspects of classical general relativity, such as probing spacetime curvature with parallel transport of vectors,...
-
Applications
This chapter covers the application of loop quantum gravity to the study of black hole entropy, as well as the large-scale evolution of spacetime...