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Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis

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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.

Author(s): Gerald Kaiser; Leopoldo Nachbin (Eds.)
Series: North-Holland Mathematics Studies 163
Publisher: Elsevier, Academic Press
Year: 1990

Language: English
Pages: iii-xvi, 1-359

Content:
Edited by
Page iii

Copyright page
Page iv

Dadication page
Page v

Unified Field Theory
Page vii

Preface
Pages xi-xv

Suggestions to the Reader
Page xvi

Chapter 1 Coherent-State Representations
Pages 1-56

Chapter 2 Wavelet Algebras and Complex Structures
Pages 57-94

Chapter 3 Frames and Lie Groups
Pages 95-154

Chapter 4 Complex Spacetime
Pages 155-234

Chapter 5 Quantized Fields
Pages 235-319

Chapter 6 Further Developments
Pages 321-356

Index
Pages 357-359