**Textbook Title:** Quantum Physics, Relativity, and Complex Spacetime

**Textbook Description:**

This free online textbook covers the principles of quantum mechanics and relativity, 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.

**Author:** Gerald Kaiser

**Subjects:** Physics, Mathematics

**Key words:** Physics, Mathematics, Geometry, Quantum Theory

**Download URL:** http://www.wavelets.com/pdf/90NH.pdf