國立高雄大學圖資館 |

Language: English

Back

Epistemic processesa basis for stati...

Helland, Inge S.

Epistemic processesa basis for statistics and quantum theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Epistemic processesby Inge S. Helland.
Reminder of title:	a basis for statistics and quantum theory /
Author:	Helland, Inge S.
Published:	Cham :Springer International Publishing :2021.
Description:	xviii, 245 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Quantum theory.
Online resource:	https://doi.org/10.1007/978-3-030-81923-1
ISBN:	9783030819231$q(electronic bk.)

Epistemic processesa basis for statistics and quantum theory /
Helland, Inge S.

Epistemic processesa basis for statistics and quantum theory /[electronic resource] :by Inge S. Helland. - Second edition. - Cham :Springer International Publishing :2021. - xviii, 245 p. :ill., digital ;24 cm.

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.

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 Schrodinger 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.

ISBN: 9783030819231$q(electronic bk.)

Standard No.: 10.1007/978-3-030-81923-1doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12 / .H45 2021

Dewey Class. No.: 530.12

Epistemic processesa basis for statistics and quantum theory /
LDR:02955nmm a2200337 a 4500 001 610736
003 DE-He213
005 20211015063046.0
006 m d
007 cr nn 008maaau
008 220330s2021 sz s 0 eng d
020 $a 9783030819231$q(electronic bk.)
020 $a 9783030819224$q(paper)
024 7 $a 10.1007/978-3-030-81923-1 $2 doi
035 $a 978-3-030-81923-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12 $b .H45 2021
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .H476 2021
100 1 $a Helland, Inge S. $3 823438
245 1 0 $a Epistemic processes $h [electronic resource] : $b a basis for statistics and quantum theory / $c by Inge S. Helland.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xviii, 245 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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 Schrodinger 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.
650 0 $a Quantum theory. $3 199020
650 0 $a Statistics. $3 182057
650 1 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Philosophy of Science. $3 277156
650 2 4 $a Quantum Physics. $3 275010
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-81923-1
950 $a Mathematics and Statistics (SpringerNature-11649)