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The Anisotropy of Time: A Logical Condition for Irreversible Processes.
The Anisotropy of Time: A Logical Condition for Irreversible Processes.
- 자료유형
- 학위논문
- Control Number
- 0017164592
- International Standard Book Number
- 9798896071457
- Dewey Decimal Classification Number
- 501
- Main Entry-Personal Name
- Marcotte, John Cade.
- Publication, Distribution, etc. (Imprint
- [S.l.] : Indiana University., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 165 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
- General Note
- Advisor: Hagar, Amit.
- Dissertation Note
- Thesis (Ph.D.)--Indiana University, 2024.
- Summary, Etc.
- 요약The asymmetry of time in statistical mechanics is often taken to refer to the increase of entropy in a thermodynamic system. To put it a different way, the asymmetry of time is supposed to be explained by (or explained away by) the asymmetry of entropy. I shall argue, to the contrary, that time itself in statistical mechanics is anisotropic, anisotropy being one form of asymmetry that time could possess. This conclusion follows from two premises: that time is a logical space, and that the relevant logical space in statistical mechanics is formed from a sample space of world histories.I shall follow Bas van Fraassen in claiming that time itself is a logical space. A logical space defines the set of possibilities that a system could be in and defines certain logical relations that two systems embedded in the space have to each other. The logical space of time therefore defines temporal relations that two systems satisfy. Arguably, time, insofar as it is a logical space, has traditionally been conceived as a geometrical line, but it might not be. I shall extend van Fraassen's thesis by arguing that time in statistical mechanics is a sample space of world histories-a proper part of a probability space. These world histories are formed by taking the Cartesian product of a set of states, and by ensuring that an intrinsic, asymmetric relation orders the sets that ensue from the Cartesian product. The anisotropy of time therefore lies in the fact that world histories in time (i.e., in the logical space) require, as a logical pre-condition of their formation, a relation that satisfies the requirements of being asymmetric and intrinsic.Irreversible processes arise in a sample space only once a probability measure has been imposed. While many have sought to explain temporal anisotropy in terms of these irreversible processes, this essay takes the view that temporal anisotropy is a logical pre-condition of irreversible processes through the concept of a world history. Along the way, a novel definition of irreversible processes, one that uses concepts from the theory of stochastic processes, is offered.
- Subject Added Entry-Topical Term
- Philosophy of science.
- Subject Added Entry-Topical Term
- Physics.
- Subject Added Entry-Topical Term
- Thermodynamics.
- Index Term-Uncontrolled
- Anisotropy
- Index Term-Uncontrolled
- Asymmetry of time
- Index Term-Uncontrolled
- Irreversible process
- Index Term-Uncontrolled
- Time
- Added Entry-Corporate Name
- Indiana University History and Philosophy of Science
- Host Item Entry
- Dissertations Abstracts International. 86-04B.
- Electronic Location and Access
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- Control Number
- joongbu:656670