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Quantum Geometry and Quantum Gravity [PDF]
AIP Conference Proceedings, 2008 To appear in the AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics, Lisbon - Portugal, 5-8 September ...
J. Fernando Barbero G. +2 more
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Invariants in Quantum Geometry [PDF]
Reports on Mathematical Physics, 2021 In quantum geometry, we consider a set of loops, a compact orientable surface and a solid compact spatial region, all inside $\mathbb{R} \times \mathbb{R}^3 \equiv \mathbb{R}^4$, which forms a triple. We want to define an ambient isotopic equivalence relation on such triples, so that we can obtain equivalence invariants.
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Geometry and the quantum: basics [PDF]
Journal of High Energy Physics, 2014 33 pages, 2 ...
Chamseddine, Ali H. +2 more
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Frontiers in Astronomy and Space Sciences, 2021 In this article, we reexamine the derivation of the dynamical equations of the Ashtekar-Olmedo-Singh black hole model in order to determine whether it is possible to construct a Hamiltonian formalism where the parameters that regulate the introduction of
Alejandro García-Quismondo +1 more
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SciPost Physics, 2022 Motivated by the experimental progress in controlling the properties of the energy bands in superconductors, significant theoretical efforts have been devoted to study the effect of the quantum geometry and the flatness of the dispersion on the ...
Alexander Lau, Sebastiano Peotta, Dmitry I. Pikulin, Enrico Rossi, Timo Hyart
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QUANTUM, GRAVITY AND GEOMETRY [PDF]
International Journal of Modern Physics A, 2000 Recently, 1–3 it is shown that, the quantum effects of matter are well described by the conformal degree of freedom of the space–time metric. On the other hand, it is a well-known fact that according to Einstein's gravity theory, gravity and geometry are interconnected.
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Geometry and quantum noise [PDF]
Fortschritte der Physik, 2014 AbstractWe study the fine structure of long‐time quantum noise in correlation functions of AdS/CFT systems. Under standard assumptions of quantum chaos for the dynamics and the observables, we estimate the size of exponentially small oscillations and trace them back to geometrical features of the bulk system. The noise level is highly suppressed by the
Fernández Barbón, José L. +1 more
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Bell Length as Mutual Information in Quantum Interference
Axioms, 2014 The necessity of a rigorously operative formulation of quantum mechanics, functional to the exigencies of quantum computing, has raised the interest again in the nature of probability and the inference in quantum mechanics.
Ignazio Licata, Davide Fiscaletti
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A Lorentzian quantum geometry [PDF]
Advances in Theoretical and Mathematical Physics, 2012 We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the general definition of causal fermion systems, we deduce space-time as a topological space with an underlying causal structure. Restricting attention to systems of spin dimension two, we derive the objects of our quantum geometry:
Finster, Felix, Grotz, Andreas
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High probability of transitions in the H-I spectrum and 3D-atomic orbitals geometry [PDF]
INCAS BulletinIn the framework of the quantum model for hydrogen atom, we use the wave functions provided by the solutions of the Schrödinger equation with Coulomb potential. Considering the radial and angular densities of the localization probability, we identify the
Diana R. RADNEF-CONSTANTIN +6 more
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