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

Spinor and twistor methods in space-time geometry. Is that, covariant fermions and contravariant fermion (spinor) indices i see? 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. Dirac, Paul, Spinors in Hilbert Space, University of Miami Center for Theoretical Studies, 1974. In 1964 he published his “Lectures on Quantum Mechanics” (London:Academic) which deals with constrained dynamics of nonlinear dynamical systems including quantization of curved spacetime. Dirac, Paul, General Theory of Relativity, Wiley, 1975. Making 4d space from just fermions! In order to handle properly full covariance for physical fields under spacetime transformations the superbundle of geometric objects is introduced. Download Spinors and space-time. Spinor and twistor methods in space-time geometry book download. The authors start with fermion fields and vector spin connection, and build spacetime out of it. 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. T = 0 (ξ = 0) corresponds then to the origin of time in our Universe. There are different kinds of spinors. Dirac spinors are spin 1/2 fields. Kursunolgu, Behram N., and Eugene P. However, without loss of generality at this moment, we can consider that every spinor field is of “Dirac Type/Class”. With space-time SU(2) spinors, one can introduce a cosmic time t = | ξ | where | ξ | is the spinor modulus.