The roles that spin networks play in gauge theories, quantum gravity and topological quantum field theory are briefly described, with an emphasis on the question of the relationships among them. It is argued that spin networks and their generalizations provide a language which may lead to a unification of the different approaches to quantum gravity and quantum geometry. This leads to a set of conjectures about the form of a future theory that may be simultaneously an extension of the non-perturbative quantization of general relativity and a non-perturbative formulation of string theory
It is standardly claimed in loop quantum gravity (LQG) that spacetime both disappears, fundamentally...
The last century saw the development of two revolutionary theories: Einstein’s general relativity, w...
Quantum geometric maps, which relate SU(2) spin networks and Lorentz covariant projected spin networ...
Spin networks, essentially labeled graphs, are “good quantum numbers” for the quantum theory of geom...
. Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) ...
We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this ...
The ontological issues at stake given the theory of loop quantum gravity (LQG) include the status of...
A new approach to quantum gravity is described which joins the loop representation formulation of th...
The ontological issues at stake given the theory of loop quantum gravity (LQG) include the status of...
In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part...
16 pages, revtex, 3 figuresLoop Quantum Gravity defines the quantum states of space geometry as spin...
We introduce the geometric formulation of Quantum Mechanics in the quantum gravity context, and we u...
While the use of spin networks has greatly improved our understanding of the kinematical aspects of...
This brief paper shows how an exact analogue of Einstein's original hole argument can be constructed...
In this thesis I present a mathematical tool for understanding the spin networks that arise from th...
It is standardly claimed in loop quantum gravity (LQG) that spacetime both disappears, fundamentally...
The last century saw the development of two revolutionary theories: Einstein’s general relativity, w...
Quantum geometric maps, which relate SU(2) spin networks and Lorentz covariant projected spin networ...
Spin networks, essentially labeled graphs, are “good quantum numbers” for the quantum theory of geom...
. Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) ...
We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this ...
The ontological issues at stake given the theory of loop quantum gravity (LQG) include the status of...
A new approach to quantum gravity is described which joins the loop representation formulation of th...
The ontological issues at stake given the theory of loop quantum gravity (LQG) include the status of...
In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part...
16 pages, revtex, 3 figuresLoop Quantum Gravity defines the quantum states of space geometry as spin...
We introduce the geometric formulation of Quantum Mechanics in the quantum gravity context, and we u...
While the use of spin networks has greatly improved our understanding of the kinematical aspects of...
This brief paper shows how an exact analogue of Einstein's original hole argument can be constructed...
In this thesis I present a mathematical tool for understanding the spin networks that arise from th...
It is standardly claimed in loop quantum gravity (LQG) that spacetime both disappears, fundamentally...
The last century saw the development of two revolutionary theories: Einstein’s general relativity, w...
Quantum geometric maps, which relate SU(2) spin networks and Lorentz covariant projected spin networ...