In mathematical physics, the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...

gravitational force field. With natural units this becomes Klein–Gordon equation on curved spacetime for a real scalar field ∇ a ∇ a Φ − m 2 Φ = 0 {\displaystyle...

result of spacetime being curved by matter and energy. First published by Einstein in 1915 as a tensor equation, the EFE equate local spacetime curvature...

named after Valentine Bargmann and Eugene Wigner. Paul Dirac first published the Dirac equation in 1928, and later (1936) extended it to particles of any...

points Dirac constant, see reduced Planck constant Dirac–Coulomb–Breit Hamiltonian Dirac equation Dirac equation in curved spacetime Dirac equation in the...

the Dirac equation in 1928. It connected special relativity and quantum mechanics and predicted the existence of antimatter. The Dirac equations is one...

connection arises in the Dirac equation when expressed in the language of curved spacetime, see Dirac equation in curved spacetime. Specifically there...

special solution of the Einstein field equations. More precisely they are a transcendental bijection of the spacetime continuum, an asymptotic projection...

the Laplace–de Rham operator. In four-dimensional flat spacetime, it is equivalent to four copies of the Dirac equation that transform into each other...

with the possible exception of neutrinos. It appears in the plane-wave solution to the Dirac equation, and is a certain combination of two Weyl spinors,...

these via equations that do not rely on specific coordinates requires tensors, capable of connecting such 4‑vectors even within a curved spacetime, and not...

generalized to curved spacetime. Drawing further upon the analogy with geometric Newtonian gravity, it is natural to assume that the field equation for gravity...

\partial _{\mu }A^{\mu }=0\,.} The electromagnetic wave equation is modified in two ways in curved spacetime, the derivative is replaced with the covariant derivative...

of the surface, and · represents the dot product of two vectors. In a curved spacetime, the flux of an electromagnetic field through a closed surface is...

In theoretical physics, quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general...

relativity Maxwell's field equations in the theory of electromagnetism The Dirac equation in the theory of the electron The Standard Model of particle physics...

In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...

Dirac matter is a condensed matter system where the quasi-particle excitations can be described in curved spacetime by the generalised Dirac equation:...

G-structure Spin manifold Spin structure Dirac equation in curved spacetime The same approach can be used for a spacetime of arbitrary dimension, where the frame...

variations in all the intermediate qs. This shows the way in which equation (11) goes over into classical results when h becomes extremely small. — Dirac (1933)...

Albert Einstein worked together closely in Leiden in the 1920s on the spacetime structure of the universe. Paul Dirac was the first person to rigorously explore...

relativity. In many ways, a black hole acts like an ideal black body, as it reflects no light. Quantum field theory in curved spacetime predicts that...

constrained by the Wheeler–DeWitt equation, which disrupts time. Alternatively, one can use the Einstein–Maxwell–Dirac equations. Penrose has written books on...

extended, at least as a classical field theory, to curved spacetime. This arises similarly to the flat spacetime case, from coupling a free electromagnetic theory...

monopole is a singular solution of Maxwell's equation (because it requires removing the worldline from spacetime); in more sophisticated theories, it is superseded...

curvature in spacetime. Maxwell's equations in curved spacetime can be obtained by replacing the derivatives in the equations in flat spacetime with covariant...

either the Klein–Gordon equation or the Dirac equation in a curved space-time together with the Einstein field equations. The equation also describes fuzzy...

express continuity equations and conservation laws for rotational and boost symmetries, or to describe spinors in curved spacetime geometries. The result...

problematic infinities in calculations.: 71  In 1928, Dirac wrote down a wave equation that described relativistic electrons: the Dirac equation. It had the following...