Spinors and space-time Roger Penrose, Wolfgang Rindler
Publisher: Cambridge University Press

Symmetry and Modern Physics Alfred S. T = 0 (ξ = 0) corresponds then to the origin of time in our Universe. Spinors and Space-Time Vol1-Rindler .djvu. 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. The Clifford algebra of spacetime is not H(2), because in the non-relativisitic limit the Dirac theory has to reduce to the Pauli 2-spinor theory. 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. Conserved chiralities of M^4xCP_2 spinors induced to space-time surface. Then the extradimensions,only is not spatial,but of spacetime continuos with supersymetry. 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. With space-time SU(2) spinors, one can introduce a cosmic time t = | ξ | where | ξ | is the spinor modulus. Spinors and space-time Vol2 Rindler .djvu. Concretely, consider a space-time of finite volume (because infinities make everything much more complicated), and randomly sprinkle a finite number of points on it. The Kerr spacetime(s) is a (family of) certain Lorentzian manifolds / spacetimes. The H(2) theory would lead to Majorana fermions, and these are not seen. Symmetries and curvature structure in general relativity Hall.djvu.