Results 1 to 10 of about 34,436 (198)
We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance violations, LIVs, classical and quantum random effects ...
Laurenţiu Bubuianu, Sergiu I. Vacaru
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An action principle for the quantization of parametric theories and nonlinear quantum cosmology
By parametrizing the action integral for the standard Schrodinger equation we present a derivation of the recently proposed method for quantizing a parametrized theory. The reformulation suggests a natural extension from conventional to nonlinear quantum
Arnowitt R +55 more
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Exact uncertainty principle and quantization: implications for the gravitational field
The quantization of the gravitational field is discussed within the exact uncertainty approach. The method may be described as a Hamilton-Jacobi quantization of gravity. It differs from previous approaches that take the classical Hamilton-Jacobi equation
Reginatto, Marcel
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Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
After a suitable gauge fixing, the local gravitational degrees of freedom of the Gowdy $S^1\times S^2$ and $S^3$ cosmologies are encoded in an axisymmetric field on the sphere $S^2$.
Abramowitz M +10 more
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Gravitational length stretching: Curvature-induced modulation of quantum probability densities
We introduce gravitational length stretching (GLS) as a novel quantum-gravitational phenomenon that distorts the spatial probability distribution of quantum particles in curved spacetime.
Li Benliang
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Proper time approach to the quantization of the gravitational field
Abstract An approach to the quantization of the gravitational field and other generally covariant systems is described. The main result is a formal expression for the Feynman propagator of the field as a whole, which replaces the usual expression for the evolution operator in ordinary field theory.
openaire +1 more source
Quaternionic Quantization Principle in General Relativity and Supergravity
A generalized quantization principle is considered, which incorporates nontrivial commutation relations of the components of the variables of the quantized theory with the components of the corresponding canonical conjugated momenta referring to other ...
Kober, Martin
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Inhomogenous loop quantum cosmology with matter
The linearly polarized Gowdy $T^3$ model with a massless scalar field with the same symmetries as the metric is quantized by applying a hybrid approach. The homogeneous geometry degrees of freedom are loop quantized, fact which leads to the resolution of
Blas, Daniel Martín-de +2 more
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In a cosmic background characterized by inhomogeneity, anisotropy, and spherical symmetry, a nonsingular solution to the Einstein field equations is established through the application of both conventional and quantized fundamental metric tensor.
Abdel Nasser Tawfik +3 more
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Lattice Chern-Simons-Maxwell theory and its chirality
We define and solve the U(1) Chern-Simons-Maxwell theory on spacetime lattice, with an emphasis on the chirality of the theory. Realizing Chern-Simons theory on lattice has been a problem of interest for decades, and over the years it has gradually ...
Ze-An Xu, Jing-Yuan Chen
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