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

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

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...

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

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...

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

Twisted geometries are discrete geometries that play a role in loop quantum gravity and spin foam models, where they appear in the semiclassical limit...

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...

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...

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

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

field theory Topological quantum field theory Quantum geometry Quantum spacetime Kay, B. S. (2023). "Quantum Field Theory in Curved Spacetime (2nd edition)...

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...

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

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

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

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

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

time in canonical quantum gravity. The replacement of the spacetime picture with a picture of evolving spatial conformal geometry opens the door for...

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

Quantum chaos is a branch of physics focused on how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question...

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...

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

and the philosophy of physics, quantum Bayesianism is a collection of related approaches to the interpretation of quantum mechanics, the most prominent...

In loop quantum gravity (LQG) it is possible to associate a geometrical interpretation with the microstates: these are the quantum geometries of the horizon...

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...

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

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

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical...