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Spinors and space-time by Roger Penrose, Wolfgang Rindler

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

String people never realized that the notion of induced spinor structure might be fundamental and solve basic problems due to the non-existence of spinor structure for a generic space-time. It just happens that knots and braids emerge in extremely natural manner in my own theory world from finite measurement resolution meaning replacement of space-time sheets with string world sheets with their ends defining braid strands. €�Spinors”, “trapped energy spheres in very tiny spaces”, once I even called them Fermi spheres which you quickly corrected me, thank you. Mathematically, this corresponds to the fact that the .. However, without loss of generality at this moment, we can consider that every spinor field is of “Dirac Type/Class”. There are different kinds of spinors. A classical field, in this language, is a function from every point in space-time to a number, spinor, vector, tensor, or some other structure of numbers. Something to do with the correspondence between spinors and even elements of a Clifford algebra, and somehow needing 4pi radians to complete a rotation. 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. Spacetime (tensors, affine connection, curvature, metric, tetrad and spin connection, Lorentz group, spinors), 2. To convey, unsuccessfully (due to my poor use of the English language) here for some time. Dirac spinors are spin 1/2 fields. (And it is why gravitational waves — waves in space and time, massless just like light — can be formed by objects that are orbiting one another.) Simply put, the Einsteinian view of gravity (now reasonably well confirmed by experiment) .. The order of the presentation is: 1. We present a self-contained introduction to the classical theory of spacetime and fields. But the local neighborhood around each point still looks like the (3+1)-dimensional spacetime of special relativity, and therefore has a time dimension which behaves differently from the three space dimensions.