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Quantum geometry information


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.

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Quantum geometry

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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...

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Loop quantum gravity

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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...

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Quantum spacetime

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

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Noncommutative geometry

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

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Loop quantum cosmology

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

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Molecular geometry

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

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Quantum mind

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

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Quantum differential calculus

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

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Wave interference

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

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Quantum potential

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

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Quantum cryptography

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

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Quantum technology

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properties of quantum mechanics, especially quantum entanglement, quantum superposition, and quantum tunneling. Quantum computing, sensors, cryptography, simulation...

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Quantum gravity

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

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Spin foam

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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...

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String theory

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

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Noncommutative quantum field theory

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

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Outline of geometry

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

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Big Crunch

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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...

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Quantum chaos

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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...

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Quantum field theory in curved spacetime

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

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Information geometry

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

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List of textbooks on classical mechanics and quantum mechanics

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

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Supersymmetry

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

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Topological quantum field theory

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

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Hamiltonian mechanics

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relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics. Let ( M...

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Cosmological constant problem

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vacuum energy density much smaller than a zero-point energy suggested by quantum field theory? (more unsolved problems in physics) In cosmology, the cosmological...

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Geometry

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

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Casimir effect

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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...

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Causal fermion systems

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the theory of causal fermion systems is a proposal for quantum geometry and an approach to quantum gravity. Causal fermion systems were introduced by Felix...

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