Quantum physics, relativity, and complex spacetime towards a new synthesis

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...

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Bibliographic Details
Main Author: Kaiser, Gerald
Format: eBook
Language:English
Published: Amsterdam North-Holland 1990, 1990
Series:North-Holland mathematics studies
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Quantum physics, relativity, and complex spacetime  |b towards a new synthesis  |c Gerald Kaiser 
260 |a Amsterdam  |b North-Holland  |c 1990, 1990 
300 |a xvi, 359 pages 
505 0 |a Coherent-state representations -- Wavelet algebras and complex structures -- Frames and Lie groups -- Complex spacetime -- Quantized fields -- Further developments 
505 0 |a Includes bibliographical references (pages 347-356) and index 
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520 |a 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