
In order to integrate general relativity with quantum
... spectrum. This deeper understanding of the nature of the forces and their origin, along with the observed mass and charge spectra, had to await the beginning of the twentieth century with formulation of Einstein’s special relativity, quantum theory, and their merger providing the RQT for the kinemat ...
... spectrum. This deeper understanding of the nature of the forces and their origin, along with the observed mass and charge spectra, had to await the beginning of the twentieth century with formulation of Einstein’s special relativity, quantum theory, and their merger providing the RQT for the kinemat ...
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... • if one postulates classically a dispersion relation with only naively (no anisotropic scaling) nonrenormalizable operators (i.e. terms η(n)pn/MPln-2 with n≥3 and η(n)≈O(1) in disp.rel.) • then radiative (loop) corrections involve integration up to the natural cutoff MPl will generate the terms ass ...
... • if one postulates classically a dispersion relation with only naively (no anisotropic scaling) nonrenormalizable operators (i.e. terms η(n)pn/MPln-2 with n≥3 and η(n)≈O(1) in disp.rel.) • then radiative (loop) corrections involve integration up to the natural cutoff MPl will generate the terms ass ...
In order to integrate general relativity with quantum theory, we
... for the kinematical infrastructure of particle physics. This is now most elegantly expressed as a Lie algebra (LA) of spacetime based observables whose algebraic representations on a Hilbert space provide the states of physical systems. Gradually then over the next hundred years, the phenomenologica ...
... for the kinematical infrastructure of particle physics. This is now most elegantly expressed as a Lie algebra (LA) of spacetime based observables whose algebraic representations on a Hilbert space provide the states of physical systems. Gradually then over the next hundred years, the phenomenologica ...
arXiv:1312.4758v2 [quant-ph] 10 Apr 2014
... the state-space of the system. If |ψ(t)i is the state of the system at time t, then we have d|ψ(t)i = H|ψ(t)i. dt In principle, any Hermitian H can be a Hamiltonian of a physical system. On the other hand, Hamiltonians of actual physical systems usually satisfy various locality constraints. For exam ...
... the state-space of the system. If |ψ(t)i is the state of the system at time t, then we have d|ψ(t)i = H|ψ(t)i. dt In principle, any Hermitian H can be a Hamiltonian of a physical system. On the other hand, Hamiltonians of actual physical systems usually satisfy various locality constraints. For exam ...
String Backgrounds
... Quantum string on at space contains gravitons. Gravitons introduce curvature and deform at background. String theory contains quantum gravity. Large deformations away from at background represented by coherent states of gravitons. String theory can be formulated on any background. String quantisa ...
... Quantum string on at space contains gravitons. Gravitons introduce curvature and deform at background. String theory contains quantum gravity. Large deformations away from at background represented by coherent states of gravitons. String theory can be formulated on any background. String quantisa ...
Semi-classical formula beyond the Ehrenfest time in
... however it is expected that at least generically, these different contributions are somehow uncorrelated, and as a result, the state ψ (t) is “generically” equidistributed over phase space as can be observed on figure 1.1. An important characteristic time which is not considered here, because far mu ...
... however it is expected that at least generically, these different contributions are somehow uncorrelated, and as a result, the state ψ (t) is “generically” equidistributed over phase space as can be observed on figure 1.1. An important characteristic time which is not considered here, because far mu ...
black hole statistical physics: entropy
... classical gravitational theory and the need to replace it by the quantum theory. So, if one believes in GR as a right theory of gravitation then he can assert that the singularity problem will be solved only after discovering of the quantum gravity theory. But. . . might quantum gravity be the End o ...
... classical gravitational theory and the need to replace it by the quantum theory. So, if one believes in GR as a right theory of gravitation then he can assert that the singularity problem will be solved only after discovering of the quantum gravity theory. But. . . might quantum gravity be the End o ...
Quantum field theory and the Jones polynomial
... three manifolds [3] and the nature of the relation between Donaldson theory and Floer theory. Also, the "Donaldson polynomials" had an interesting formal analogy with quantum field theory correlation functions. It has turned out that Donaldson theory can indeed be given a physical interpretation [4] ...
... three manifolds [3] and the nature of the relation between Donaldson theory and Floer theory. Also, the "Donaldson polynomials" had an interesting formal analogy with quantum field theory correlation functions. It has turned out that Donaldson theory can indeed be given a physical interpretation [4] ...
doc - The Crowned Anarchist Literature and Science Fiction
... spectra, ferromagnetic phenomena, and electromagnetic behaviour. Important alternative forms of the new quantum theory were proposed in 1926 by Erwin Schrödinger (wave mechanics) and P.A.M. Dirac (transformation theory). ...
... spectra, ferromagnetic phenomena, and electromagnetic behaviour. Important alternative forms of the new quantum theory were proposed in 1926 by Erwin Schrödinger (wave mechanics) and P.A.M. Dirac (transformation theory). ...
Nonexistence of the Classical Trajectories in the Stern
... Nonexistence of the Classical Trajectories . . . It is worth noting: the states Eq. (1) and Eq. (3) represent the idealizations of the realistic quantum states. Actually, the realistic physical situations are described by the time dependent states that, in turn, makes the task of designing an exper ...
... Nonexistence of the Classical Trajectories . . . It is worth noting: the states Eq. (1) and Eq. (3) represent the idealizations of the realistic quantum states. Actually, the realistic physical situations are described by the time dependent states that, in turn, makes the task of designing an exper ...
Loop Quantum Gravity in a Nutshell
... • Einstein-Hilbert action (based on Riemannian geometry): S[g ] = ...
... • Einstein-Hilbert action (based on Riemannian geometry): S[g ] = ...