Epistemic Processes
A Basis for Statistics and Quantum Theory
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Beschreibung
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.
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.
Presents basic assumptions that imply a link between statistical theory and quantum theory Offers strong arguments for an epistemic interpretation of quantum mechanics, and describes epistemic foundations Provides a simple interpretation of quantum states as question-and-answer pairs Derives the Born formula and the Schrödinger equation under weak conditions on the epistemic process Discusses the philosophical implications of this approach to quantum theory, including in a macroscopic setting
Autor*in
Inge S. Helland
Themen in »Epistemic Processes«
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