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Epistemic Processes

A Basis for Statistics and Quantum Theory

Inge S. Helland

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ca. 90,94
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

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.

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Schlagwörter

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