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001440465 003__ OCoLC
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001440465 019__ $$a1277274394$$a1280048000$$a1280104962$$a1287763523
001440465 020__ $$a9783030819231$$q(electronic bk.)
001440465 020__ $$a303081923X$$q(electronic bk.)
001440465 020__ $$z9783030819224$$q(print)
001440465 020__ $$z3030819221
001440465 0247_ $$a10.1007/978-3-030-81923-1$$2doi
001440465 035__ $$aSP(OCoLC)1280127687
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001440465 049__ $$aISEA
001440465 050_4 $$aQC174.12
001440465 08204 $$a530.12$$223
001440465 1001_ $$aHelland, Inge S.,$$eauthor.
001440465 24510 $$aEpistemic processes :$$ba basis for statistics and quantum theory /$$cInge S. Helland.
001440465 250__ $$aSecond edition.
001440465 264_1 $$aCham, Switzerland :$$bSpringer,$$c2021.
001440465 300__ $$a1 online resource (xviii, 245 pages) :$$billustrations
001440465 336__ $$atext$$btxt$$2rdacontent
001440465 337__ $$acomputer$$bc$$2rdamedia
001440465 338__ $$aonline resource$$bcr$$2rdacarrier
001440465 347__ $$atext file
001440465 347__ $$bPDF
001440465 504__ $$aIncludes bibliographical references and index.
001440465 5050_ $$a1. 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.
001440465 506__ $$aAccess limited to authorized users.
001440465 520__ $$aThis 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 Schrödinger 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 Hervé 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.
001440465 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 22, 2021).
001440465 650_0 $$aQuantum theory.
001440465 650_0 $$aStatistics.
001440465 650_6 $$aThéorie quantique.
001440465 655_0 $$aElectronic books.
001440465 77608 $$iPrint version:$$aHelland, Inge S.$$tEpistemic processes.$$bSecond edition.$$dCham, Switzerland : Springer, 2021$$z3030819221$$z9783030819224$$w(OCoLC)1257890176
001440465 852__ $$bebk
001440465 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-81923-1$$zOnline Access$$91397441.1
001440465 909CO $$ooai:library.usi.edu:1440465$$pGLOBAL_SET
001440465 980__ $$aBIB
001440465 980__ $$aEBOOK
001440465 982__ $$aEbook
001440465 983__ $$aOnline
001440465 994__ $$a92$$bISE