Epistemic Processes : A Basis for Statistics and Quantum Theory

Helland, Inge S.

Springer Nature Switzerland AG（2018/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 164 p.
• 言語 ENG
• 商品コード 9783030069681
• DDC分類 120

Full Description

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.

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.