Epistemic processes : a basis for statistics and quantum theory / Inge S. Helland.
2021
QC174.12
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Details
Title
Epistemic processes : a basis for statistics and quantum theory / Inge S. Helland.
Author
Edition
Second edition.
ISBN
9783030819231 (electronic bk.)
303081923X (electronic bk.)
9783030819224 (print)
3030819221
303081923X (electronic bk.)
9783030819224 (print)
3030819221
Published
Cham, Switzerland : Springer, 2021.
Language
English
Description
1 online resource (xviii, 245 pages) : illustrations
Item Number
10.1007/978-3-030-81923-1 doi
Call Number
QC174.12
Dewey Decimal Classification
530.12
Summary
This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes. The latter are processes, such as statistical investigations or quantum mechanical measurements, that can be used to obtain knowledge about something. Various topics in quantum theory are addressed, including the construction of a Hilbert space from reasonable assumptions and an interpretation of quantum states. Separate derivations of the Born formula and the one-dimensional Schrödinger equation are given. In concrete terms, a Hilbert space can be constructed under some technical assumptions associated with situations where there are two conceptual variables that can be seen as maximally accessible. Then to every accessible conceptual variable there corresponds an operator on this Hilbert space, and if the variables take a finite number of values, the eigenspaces/eigenvectors of these operators correspond to specific questions in nature together with sharp answers to these questions. This paves a new way to the foundations of quantum theory. The resulting interpretation of quantum mechanics is related to Hervé Zwirn's recent Convivial Solipsism, but it also has some relations to Quantum Bayesianism and to Rovelli's relational quantum mechanics. Niels Bohr's concept of complementarity plays an important role. Philosophical implications of this approach to quantum theory are discussed, including consequences for macroscopic settings. The book will benefit a broad readership, including physicists and statisticians interested in the foundations of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
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text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 22, 2021).
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Table of Contents
1. The epistemic view upon science
2. Statistical inference
3. Inference in an epistemic process
4. Towards quantum theory
5. Aspects of quantum theory
6. Macroscopic consequences.
2. Statistical inference
3. Inference in an epistemic process
4. Towards quantum theory
5. Aspects of quantum theory
6. Macroscopic consequences.