In quantum gravity, quantum geometry is the set of mathematical concepts that generalize geometry to describe physical phenomena at distance scales comparable...

Smolin showed that the quantum operators of the theory associated to area and volume have a discrete spectrum. That is, geometry is quantized. This result...

Geometry of Quantum States: An Introduction to Quantum Entanglement is a book by Ingemar Bengtsson and Karol Życzkowski about the mathematics used in quantum...

geometries (conformational isomerism) that are close in energy on the potential energy surface. Geometries can also be computed by ab initio quantum chemistry...

Noncommutative geometry. Introduction to Quantum Geometry by Micho Đurđevich Ginzburg, Victor (2005). "Lectures on Noncommutative Geometry". arXiv:math/0506603...

the prominent role played by the quantum geometry effects of loop quantum gravity (LQG). In particular, quantum geometry creates a brand new repulsive force...

Planck time. Quantum spacetimes are often described mathematically using the noncommutative geometry of Connes, quantum geometry, or quantum groups. Any...

The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections...

needed] A spin foam is analogous to quantum history.[why?] Spin networks provide a language to describe the quantum geometry of space. Spin foam does the same...

noncommutative geometry, and twistor theory. One of the difficulties of formulating a quantum gravity theory is that direct observation of quantum gravitational...

algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner...

and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological...

The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that...

Carlo Rovelli and Lee Smolin obtained an explicit basis of states of quantum geometry, which turned out to be labeled by Penrose's spin networks. In this...

field theory Topological quantum field theory Quantum geometry Quantum spacetime Kay, B. S. (2025). "Quantum Field Theory in Curved Spacetime". Encyclopedia...

Filtering problem Quantum systems Neural networks Machine learning Statistical mechanics Biology Statistics Mathematical finance Ruppeiner geometry Kullback–Leibler...

The quantum potential or quantum potentiality is a central concept of the de Broglie–Bohm formulation of quantum mechanics, introduced by David Bohm in...

addition to classical wave model for understanding optical interference, quantum matter waves also demonstrate interference. The above can be demonstrated...

puncture the event horizon, contributing area to it, and that the quantum geometry of the horizon can be described by a U(1) Chern–Simons theory. The...

noncommutative quantum field theory, a special kind of physical theory in which spacetime is described mathematically using noncommutative geometry. This established...

quantum mechanics, given its intimate connection with commutativity relations and Lie algebras, specifically quantum groups. Noncommutative geometry Quantum...

the horizon problem—from a new perspective. Under this model, due to quantum geometry, the Big Bang is replaced by the Big Bounce with no assumptions or...

into quantum mechanical systems. It emerges from several approaches to quantum gravity, including string theory, loop quantum gravity, and quantum geometry...

Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography...

This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical...

theories upon which all modern physics rests are general relativity and quantum mechanics. General relativity is a theoretical framework that only focuses...

that in a theory of quantum geometry such as canonical quantum gravity, geometric quantities such as area and volume become quantum observables and take...

Misner and Wheeler (December 1957).) Eduard Prugovecki, Quantum Geometry: A Framework for Quantum General Relativity, Springer, 2013, p. 412. Everett, Allen;...

Riemannian geometry and pseudo-Riemannian geometry are used in general relativity. String theory makes use of several variants of geometry, as does quantum information...

In quantum field theory, the Casimir effect (or Casimir force) is a physical force acting on the macroscopic boundaries of a confined space which arises...