16/11/2015 - Roger Penrose - Palatial Twistor Theory: a Quantum Approach to Classical Space-Time

https://philippelefloch.files.wordpre... Abstract. Up until recently, the applications of twistor theory to general relativity have been rather limited, applicable mainly to special solutions of the Einstein equations and to complex solutions which are anti-self-dual, these describing left-handed “non-linear gravitons”. Recently, however, a new approach—palatial twistor theory—has emerged which, though related to the earlier ambitwistor approach, is essentially different, bringing the quantum ideas of non-commutativity into the geometry. Though the (Einstein) space-times treated this way are still classical, the approach suggests a possible route to a quantum gravity theory.