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

noncommutative standard model and noncommutative quantum field theory. The sudden rise in interest in noncommutative geometry in physics follows after the speculations...

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...

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...

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

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

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

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 mathematics to the spacetime of quantum field theory that is an outgrowth of noncommutative geometry and index theory in which the coordinate...

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

Quantum mysticism, sometimes referred to pejoratively as quantum quackery or quantum woo, is a set of metaphysical beliefs and associated practices 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...

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

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

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

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...

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

Loll, Jan Ambjørn and Jerzy Jurkiewicz, is an approach to quantum gravity that, like loop quantum gravity, is background independent. This means that it...

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

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...

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

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...

in the development of quantum field theory and the standard model of particle physics. Outside of physics, differential geometry finds applications in...

In quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle...

Supersymmetric quantum mechanics adds the SUSY superalgebra to quantum mechanics as opposed to quantum field theory. Supersymmetric quantum mechanics often...

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...

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

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