Set of mathematical concepts propagating geometric concepts
Part of a series of articles about
Quantum mechanics
Schrödinger equation
Introduction
Glossary
History
Background
Classical mechanics
Old quantum theory
Bra–ket notation
Hamiltonian
Interference
Fundamentals
Complementarity
Decoherence
Entanglement
Energy level
Measurement
Nonlocality
Quantum number
State
Superposition
Symmetry
Tunnelling
Uncertainty
Wave function
Collapse
Experiments
Bell's inequality
Davisson–Germer
Double-slit
Elitzur–Vaidman
Franck–Hertz
Leggett–Garg inequality
Mach–Zehnder
Popper
Quantum eraser
Delayed-choice
Schrödinger's cat
Stern–Gerlach
Wheeler's delayed-choice
Formulations
Overview
Heisenberg
Interaction
Matrix
Phase-space
Schrödinger
Sum-over-histories (path integral)
Equations
Dirac
Klein–Gordon
Pauli
Rydberg
Schrödinger
Interpretations
Bayesian
Consistent histories
Copenhagen
de Broglie–Bohm
Ensemble
Hidden-variable
Local
Superdeterminism
Many-worlds
Objective collapse
Quantum logic
Relational
Transactional
Von Neumann–Wigner
Advanced topics
Relativistic quantum mechanics
Quantum field theory
Quantum information science
Quantum computing
Quantum chaos
EPR paradox
Density matrix
Scattering theory
Quantum statistical mechanics
Quantum machine learning
Scientists
Aharonov
Bell
Bethe
Blackett
Bloch
Bohm
Bohr
Born
Bose
de Broglie
Compton
Dirac
Davisson
Debye
Ehrenfest
Einstein
Everett
Fock
Fermi
Feynman
Glauber
Gutzwiller
Heisenberg
Hilbert
Jordan
Kramers
Lamb
Landau
Laue
Moseley
Millikan
Onnes
Pauli
Planck
Rabi
Raman
Rydberg
Schrödinger
Simmons
Sommerfeld
von Neumann
Weyl
Wien
Wigner
Zeeman
Zeilinger
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In theoretical physics, quantum geometry is the set of mathematical concepts generalizing the concepts of geometry whose understanding is necessary to describe the physical phenomena at distance scales comparable to the Planck length. At these distances, quantum mechanics has a profound effect on physical phenomena.
In theoretical physics, quantumgeometry is the set of mathematical concepts generalizing the concepts of geometry whose understanding is necessary to...
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...
Planck time. Quantum spacetimes are often described mathematically using the noncommutative geometry of Connes, quantumgeometry, or quantum groups. Any...
Noncommutative standard model and Noncommutative quantum field theory. The sudden rise in interest in noncommutative geometry in physics follows after the speculations...
the prominent role played by the quantumgeometry effects of loop quantum gravity (LQG). In particular, quantumgeometry creates a brand new repulsive force...
geometries (conformational isomerism) that are close in energy on the potential energy surface. Geometries can also be computed by ab initio quantum chemistry...
The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections...
In quantumgeometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle...
addition to classical wave model for understanding optical interference, quantum matter waves also demonstrate interference. The above can be demonstrated...
The quantum potential or quantum potentiality is a central concept of the de Broglie–Bohm formulation of quantum mechanics, introduced by David Bohm in...
Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography...
Noncommutative geometry, and Twistor theory. One of the difficulties of formulating a quantum gravity theory is that direct observation of quantum gravitational...
needed] A spin foam is analogous to quantum history.[why?] Spin networks provide a language to describe the quantumgeometry of space. Spin foam does the same...
noncommutative quantum field theory, a special kind of physical theory in which spacetime is described mathematically using noncommutative geometry. This established...
noncommutative mathematics to the spacetime of quantum field theory that is an outgrowth of noncommutative geometry and index theory in which the coordinate...
the horizon problem—from a new perspective. Under this model, due to quantumgeometry, the Big Bang is replaced by the Big Bounce with no assumptions or...
Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question...
field theory Topological quantum field theory QuantumgeometryQuantum spacetime Kay, B. S. (2023). "Quantum Field Theory in Curved Spacetime (2nd edition)...
This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical...
Supersymmetric quantum mechanics adds the SUSY superalgebra to quantum mechanics as opposed to quantum field theory. Supersymmetric quantum mechanics often...
and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological...
relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics. Let ( M...
vacuum energy density much smaller than a zero-point energy suggested by quantum field theory? (more unsolved problems in physics) In cosmology, the cosmological...
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...
the theory of causal fermion systems is a proposal for quantumgeometry and an approach to quantum gravity. Causal fermion systems were introduced by Felix...