From the Origins of Twistor Theory to Bi-Twistors and Curved Space-Times

Explore the origins and evolution of twistor theory in this comprehensive lecture by Professor Roger Penrose from the University of Oxford. Delve into the geometric approach to quantum field theory, focusing on the translation of Minkowski space geometry into projective geometry CP3. Examine the concept of projective twistor space PT and its division into PT+ and PT-, which geometrically describes the positive/negative frequency splitting. Gain insights into the development of twistor theory from its inception in 1963 to its applications in bi-twistors and curved space-times. Discover how this mathematical framework connects to quantum field theory and provides a unique perspective on the structure of spacetime.