Twistor theory  Its aims and achievements
Abstract
The essential scope of twistor theory is fully outlined and analyzed. It is noted that the basic aims of twistor theory are to provide an alternative framework for physics in which the spacetime continuum and the complex continuum of quantum mechanics are merged into one and to eliminate the continuum concept from the basis of physical theory. It is also noted that in the context of the present theory, spacetime points are derived objects, twistors are more basic phenomena, and quantummechanical uncertainties are transferred to the very concept of a spacetime point. Flatspace twistors are described analytically, and the geometry of Minkowski space is reformulated in terms of the geometry of twistor space. Twistor firstquantization rules are outlined together with rules for twistor diagrams and techniques for translating analytic expressions into such diagrams. Properties of curvedspace twistors are analyzed, and these twistors are identified as local, global null, hypersurface, and asymptotic twistors.
 Publication:

In: Quantum gravity; Proceedings of the Oxford Symposium
 Pub Date:
 1975
 Bibcode:
 1975qngr.symp..268P
 Keywords:

 Continuum Mechanics;
 Quantum Mechanics;
 SpaceTime Functions;
 Theoretical Physics;
 Asymptotic Methods;
 Complex Variables;
 Field Theory (Physics);
 Mathematical Models;
 Minkowski Space;
 Twisting;
 Physics (General)