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

This equation is a fancy spinor form of x = x_0 + vt. Over time, as the two particles become widely separated in space, even by light-years, quantum mechanics suggests that a measurement of one would immediately impact the other. Which defines the causality condition between different spinors. However, without loss of generality at this moment, we can consider that every spinor field is of “Dirac Type/Class”. Although surface theory will not be incorporated for a quantum theory of the spacetime continuum, however, mathematically, it provides a logical. To prove the existence of the graviton, physicists must be able to link the particle to the curvature of the space-time continuum and calculate the gravitational force exerted. FYI, Roger Penrose, a colleague of Stephen Hawking, attempted to combine tensor and spinor and called it twistor then later retracted that it would not work the way he expected. Einstein was quick to point out that this violated the universal speed limit set out by special relativity. He gave the details in his widely publicized book: The Road to Reality - A Complete Guide to the Laws of the Universe. Dirac spinors are spin 1/2 fields. There are different kinds of spinors. Making 4d space from just fermions! Is that, covariant fermions and contravariant fermion (spinor) indices i see? The authors start with fermion fields and vector spin connection, and build spacetime out of it.