منابع مشابه
Discrete Wheeler-DeWitt Equation
We present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional manifold of 3geometries is replaced by a space of three-dimensional piecewise linear spaces, with the solutions to the lattice equations providing a suitable approximation to the continuum wave functional. The equations incorpor...
متن کاملSchwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators
We argue that the second-order gauge-invariant Schwinger-Dyson operator of a gauge theory is the Wheeler-DeWitt operator in the dual string theory. Using this identification, we construct a set of operators in the gauge theory that correspond to excitations of gravity in the bulk. We show that these gauge theory operators have the expected properties for describing the semiclassical local gravi...
متن کاملAgainst the Wheeler-DeWitt equation
The ADM approach to canonical general relativity combined with Dirac’s method of quantizing constrained systems leads to the Wheeler-DeWitt equation. A number of mathematical as well as physical difficulties that arise in connection with this equation may be circumvented if one employs a covariant Hamiltonian method in conjunction with a recently developed, mathematically rigorous technique to ...
متن کاملCritique of the Wheeler-DeWitt equation
The Wheeler-DeWitt equation is based on the use of canonical quantization rules that may be inconsistent for constrained dynamical systems, such as Einstein’s gravitational field equations. The resulting quantum dynamics has no classical limit, and it suffers from the infamous “problem of time.” In this article, it is shown how a dynamical time (an internal “clock”) can be constructed by means ...
متن کاملQuantal Modifications to the Wheeler DeWitt Equation
Commutator anomalies obstruct solving the Wheeler-DeWitt constraint equation in Dirac quantization of quantum gravity-matter theory. When the obstruction is removed, there result quantal modifications to the constraints. The same classical theory gives rise to different quantum theories when different procedures for overcoming anomalies are implemented. In a canonical, Hamiltonian approach to q...
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ژورنال
عنوان ژورنال: Applied Mathematics and Physics
سال: 2014
ISSN: 2333-4878
DOI: 10.12691/amp-2-3-3