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In theoretical physics, twistor theory was proposed by Roger Penrose in 1967 [1] as a possible path [2] to quantum gravity and has evolved into a widely studied branch of theoretical and mathematical physics. Penrose's idea was that twistor space should be the basic arena for physics from which space-time itself should emerge.
This is an essential feature of Dirac's theory, which ties the spinor formalism to the geometry of physical space. A manner of regarding a spinor as acting upon a vector, by an expression such as ψv ψ. In physical terms, this represents an electric current of Maxwell's electromagnetic theory, or more generally a probability current.
In mathematics and theoretical physics (especially twistor theory), twistor space is the complex vector space of solutions of the twistor equation ′ =. It was described in the 1960s by Roger Penrose and Malcolm MacCallum. [ 1 ]
Using spinor index notation, the Penrose transform gives a bijection between solutions to the spin / massless field equation ′ ′ ′ ′ = and the first sheaf cohomology group (, ()), where is the Riemann sphere, () are the usual holomorphic line bundles over projective space, and the sheaves under consideration are the sheaves of sections ...
This is standard in twistor theory and supersymmetry. ... then a spinor in the chiral basis is represented as ... Penrose, R.; Rindler, W. (1984), Spinors and Space ...
Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry (with Wolfgang Rindler, 1988) (reprint), ISBN 0-521-34786-6 (paperback) His forewords to other books include: Foreword to "The Map and the Territory: Exploring the foundations of science, thought and reality" by Shyam Wuppuluri and Francisco Antonio Doria.
German scientists found evidence that the space rock came from the outer limits of our solar system, well beyond Jupiter, during its early development. Scientists think they know the origin of the ...
Wald treats the more succinct version of the Newman–Penrose formalism in terms of more modern spinor notation. S. W. Hawking and G. F. R. Ellis (1973). The large scale structure of space-time. Cambridge University Press. ISBN 0-226-87033-2. Hawking and Ellis use the formalism in their discussion of the final state of a collapsing star.