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Epistemic Processes

A Basis for Statistics and Quantum Theory

  • Inge S. Helland
Book

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Inge S. Helland
    Pages 1-20
  3. Inge S. Helland
    Pages 21-39
  4. Inge S. Helland
    Pages 41-55
  5. Inge S. Helland
    Pages 57-75
  6. Inge S. Helland
    Pages 77-130
  7. Inge S. Helland
    Pages 131-143
  8. Back Matter
    Pages 145-170

About this book

Introduction

This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes – which can be e.g. statistical investigations or quantum mechanical measurements, and refer to processes that are used to gain knowledge about something. The book addresses a range of topics, including a derivation of the Born formula from reasonable assumptions, a derivation of the Schrödinger equation in the one-dimensional case, and a discussion of the Bell inequality from an epistemic perspective. The book  describes a possible epistemic foundation of quantum theory. Lastly, it presents a general philosophical discussion of the approach, which, principally speaking, is not restricted to the micro-world. Hence the book can also be seen as a motivation for further research into quantum decision theory and quantum models for cognition. The book will benefit a broad readership, including physicists and statisticians interested in the foundation of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.

Keywords

Bell’s inequality Born’s formula epistemic process complementarity conceptual variable conditionality principle epistemic conceptual variable Schrödinger equation inaccessible conceptual variable interpretation of quantum states likelihood principle quantum state quantum theory rationality spin sufficiency principle

Authors and affiliations

  • Inge S. Helland
    • 1
  1. 1.Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information

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