Stochastic Quantum Mechanics and Quantum Spacetime: A Consistent Unification of Relativity and Quantum Theory Based on Stochastic Spaces

Author:   Margaret Prugovecki
Publisher:   Springer
Edition:   1984 ed.
Volume:   4
ISBN:  

9789027716170


Pages:   328
Publication Date:   31 January 1984
Format:   Hardback
Availability:   Awaiting stock   Availability explained
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Stochastic Quantum Mechanics and Quantum Spacetime: A Consistent Unification of Relativity and Quantum Theory Based on Stochastic Spaces


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Overview

The principal intent of this monograph is to present in a systematic and self-con­ tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe­ matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point­ like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.

Full Product Details

Author:   Margaret Prugovecki
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   1984 ed.
Volume:   4
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   0.638kg
ISBN:  

9789027716170


ISBN 10:   902771617
Pages:   328
Publication Date:   31 January 1984
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

I: Stochastic Quantum Mechanics.- 1 / Nonrelativistic Stochastic Quantum Mechanics.- 2 / Relativistic Stochastic Quantum Mechanics.- 3 / Statistical Mechanics on Stochastic Phase Spaces.- II: Quantum Spacetime.- 4 / Reciprocity Theory and the Geometrization of Stochastic Quantum Mechanics.- 5 / Field Theory on Quantum Spacetime.- Appendix A / Elements of Measure Theory.- Appendix B / Elements of Operator Theory on Hilbert Spaces.- Notes.- References.

Reviews

It is a book which should certainly be included in any library collection on quantum mechanics, and perhaps in the personal libraries of those who are interested in more than standard presentations.<strong>'</strong> <strong>The Australian Physicist (July 1985)</strong> <br/>


It is a book which should certainly be included in any library collection on quantum mechanics, and perhaps in the personal libraries of those who are interested in more than standard presentations.' The Australian Physicist (July 1985)


`It is a book which should certainly be included in any library collection on quantum mechanics, and perhaps in the personal libraries of those who are interested in more than standard presentations.' The Australian Physicist (July 1985)


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