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Spinors and space-time epub
Spinors and space-time epub

Spinors and space-time by Roger Penrose, Wolfgang Rindler

Spinors and space-time

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Spinors and space-time Roger Penrose, Wolfgang Rindler ebook
Publisher: Cambridge University Press
Format: djvu
ISBN: 0521337070, 9780521337076
Page: 509

The notion of spinors is introduced here. Alain Connes should appreciate ;-). The quaternions are continuos spacetimes,and these differences of metrics between left -right handed generates ( spinors),and the variations of space and time with the increasement of the motions. The Petrov classification and the Newman-Penrose formulation are presented. (very roughly speaking : a kind of gauge field "between" two copies of the usual four-dimensional space-time, carrying respectively massless left-handed and right-handed spinors). Chapter 3 deals with asymptotic properties of space-time. One account, simplified by the use of spinors, can be found in “Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields (Cambridge Monographs on Mathematical Physics)”. Relying on a mathematical analogy of the pure states of the two-qubit system of quantum information theory with four-component spinors we introduce the concept of the intrinsic entanglement of spinors. Electro-magnetic fields exist within gravitational fields, and cannot well be non-conformed to the space-time spinors of the gravitational field. This volume introduces and systematically develops the calculus of 2-spinors. To explore its physical sense we study the entanglement capabilities of the spin representation of (pseudo-) conformal transformations in (3+1)-dimensional Minkowski space-time. In the context here, there is something very important to Penrose's spinors though, spin after all is not to be visualized as a spatial dynamic, although the problem with the term spinor is that it seems to connote continuous spinning, which continuous-ness I exclude in my visualizations.

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