Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis (North-Holland Mathematics Studies)

A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.Kaiser, G. is the author of 'Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis (North-Holland Mathematics Studies)' with ISBN 9780444884657 and ISBN 0444884653.