Generalized Gravity I : Kinematical Setting .
نویسنده
چکیده
The first part of this work deals with the development of a natural differential calculus on non-commutative manifolds. The second part extends the equivalence principle and studies its kinematical consequences. It turns out that the mathematical language developed leads to interesting consequences.
منابع مشابه
2 00 8 Generalized Gravity I : Kinematical Setting and reformalizing Quantum Field Theory
The first part of this work deals with the development of a natural differential calculus on non-commutative manifolds. The second part extends the covariance and equivalence principle as well studies its kinematical consequences such as the arising of gauge theory. Furthermore, a manifestly causal and covariant formulation of quantum field theory is presented which surpasses the usual Hamilton...
متن کاملGravity I : Kinematical Setting and reformalizing Quantum Field Theory
The first part of this work deals with the development of a natural differential calculus on non-commutative manifolds. The second part extends the covariance and equivalence principle as well studies its kinematical consequences such as the arising of gauge theory. Furthermore, a manifestly causal and covariant formulation of quantum field theory is presented which surpasses the usual Hamilton...
متن کاملSeparable Hilbert space in Loop Quantum Gravity
We study the separability of the state space of loop quantum gravity. In the standard construction, the kinematical Hilbert space of the diffeomorphism-invariant states is nonseparable. This is a consequence of the fact that the knot-space of the equivalence classes of graphs under diffeomorphisms is noncountable. However, the continuous moduli labeling these classes do not appear to affect the...
متن کاملThree dimensional loop quantum gravity: physical scalar product and spin foam models
In this paper, we address the problem of the dynamics in three dimensional loop quantum gravity with zero cosmological constant. We construct a rigorous definition of Rovelli’s generalized projection operator from the kinematical Hilbert space—corresponding to the quantization of the infinite dimensional kinematical configuration space of the theory—to the physical Hilbert space. In particular,...
متن کاملThree dimensional loop quantum gravity: coupling to point particles
We consider the coupling between three dimensional gravity with zero cosmological constant and massive spinning point particles. First, we study the classical canonical analysis of the coupled system. Then, we go to the Hamiltonian quantization generalizing loop quantum gravity techniques. We give a complete description of the kinematical Hilbert space of the coupled system. Finally, we define ...
متن کامل