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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Epistemic Processes - A Basis for Statistics and Quantum Theory (Paperback, 2nd ed. 2021)
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Epistemic Processes - A Basis for Statistics and Quantum Theory (Paperback, 2nd ed. 2021)
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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 Schroedinger 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 Herve 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.
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