Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism

In recent years, the non-relativistic quantum dynamics derived from three assumptions; (i) probability current conservation, (ii) average energy conservation, and (iii) an epistemic momentum uncertainty (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be d...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Foundations of physics 2022-06, Vol.52 (3), Article 54
Hauptverfasser: Kazemi, M. J., Rokni, S. Y.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 3
container_start_page
container_title Foundations of physics
container_volume 52
creator Kazemi, M. J.
Rokni, S. Y.
description In recent years, the non-relativistic quantum dynamics derived from three assumptions; (i) probability current conservation, (ii) average energy conservation, and (iii) an epistemic momentum uncertainty (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.
doi_str_mv 10.1007/s10701-022-00571-z
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2663485326</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2663485326</sourcerecordid><originalsourceid>FETCH-LOGICAL-c185z-b8a7d62ec5582bde11bb178e04b83338f2a0419f45bacbfa595529c8ed324a5b3</originalsourceid><addsrcrecordid>eNp9kLFOwzAURS0EEqXwA0yRmA3v2XHijKVqKagSC50t23EqV01S7BSpnfgH_pAvIRAkNqa3nHOfdAi5RrhFgPwuIuSAFBijACJHejwhIxQ5o4XA7JSMAFDQAlCek4sYNwBQ5Fk6IveznY-dq71NVo11odO-6Q5JFdo60U0yeXNBr12ZLHTtt13bfL5_PGnbGp_M21DrrY_1JTmr9Da6q987Jqv57GW6oMvnh8fpZEktSnGkRuq8zJizQkhmSodoDObSQWok51xWTEOKRZUKo62ptCiEYIWVruQs1cLwMbkZdnehfd272KlNuw9N_1KxLOOpFJxlPcUGyoY2xuAqtQu-1uGgENR3KzW0Un0r9dNKHXuJD1Ls4Wbtwt_0P9YXZ8VtqQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2663485326</pqid></control><display><type>article</type><title>Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism</title><source>SpringerNature Journals</source><creator>Kazemi, M. J. ; Rokni, S. Y.</creator><creatorcontrib>Kazemi, M. J. ; Rokni, S. Y.</creatorcontrib><description>In recent years, the non-relativistic quantum dynamics derived from three assumptions; (i) probability current conservation, (ii) average energy conservation, and (iii) an epistemic momentum uncertainty (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.</description><identifier>ISSN: 0015-9018</identifier><identifier>EISSN: 1572-9516</identifier><identifier>DOI: 10.1007/s10701-022-00571-z</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Classical and Quantum Gravitation ; Classical Mechanics ; Conservation ; History and Philosophical Foundations of Physics ; Philosophy of Science ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Statistical analysis ; Statistical mechanics ; Statistical Physics and Dynamical Systems ; Uncertainty</subject><ispartof>Foundations of physics, 2022-06, Vol.52 (3), Article 54</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022</rights><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c185z-b8a7d62ec5582bde11bb178e04b83338f2a0419f45bacbfa595529c8ed324a5b3</cites><orcidid>0000-0001-7709-7793</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10701-022-00571-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10701-022-00571-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Kazemi, M. J.</creatorcontrib><creatorcontrib>Rokni, S. Y.</creatorcontrib><title>Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism</title><title>Foundations of physics</title><addtitle>Found Phys</addtitle><description>In recent years, the non-relativistic quantum dynamics derived from three assumptions; (i) probability current conservation, (ii) average energy conservation, and (iii) an epistemic momentum uncertainty (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.</description><subject>Classical and Quantum Gravitation</subject><subject>Classical Mechanics</subject><subject>Conservation</subject><subject>History and Philosophical Foundations of Physics</subject><subject>Philosophy of Science</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Statistical analysis</subject><subject>Statistical mechanics</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Uncertainty</subject><issn>0015-9018</issn><issn>1572-9516</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kLFOwzAURS0EEqXwA0yRmA3v2XHijKVqKagSC50t23EqV01S7BSpnfgH_pAvIRAkNqa3nHOfdAi5RrhFgPwuIuSAFBijACJHejwhIxQ5o4XA7JSMAFDQAlCek4sYNwBQ5Fk6IveznY-dq71NVo11odO-6Q5JFdo60U0yeXNBr12ZLHTtt13bfL5_PGnbGp_M21DrrY_1JTmr9Da6q987Jqv57GW6oMvnh8fpZEktSnGkRuq8zJizQkhmSodoDObSQWok51xWTEOKRZUKo62ptCiEYIWVruQs1cLwMbkZdnehfd272KlNuw9N_1KxLOOpFJxlPcUGyoY2xuAqtQu-1uGgENR3KzW0Un0r9dNKHXuJD1Ls4Wbtwt_0P9YXZ8VtqQ</recordid><startdate>20220601</startdate><enddate>20220601</enddate><creator>Kazemi, M. J.</creator><creator>Rokni, S. Y.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-7709-7793</orcidid></search><sort><creationdate>20220601</creationdate><title>Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism</title><author>Kazemi, M. J. ; Rokni, S. Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c185z-b8a7d62ec5582bde11bb178e04b83338f2a0419f45bacbfa595529c8ed324a5b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Classical Mechanics</topic><topic>Conservation</topic><topic>History and Philosophical Foundations of Physics</topic><topic>Philosophy of Science</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Statistical analysis</topic><topic>Statistical mechanics</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kazemi, M. J.</creatorcontrib><creatorcontrib>Rokni, S. Y.</creatorcontrib><collection>CrossRef</collection><jtitle>Foundations of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kazemi, M. J.</au><au>Rokni, S. Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism</atitle><jtitle>Foundations of physics</jtitle><stitle>Found Phys</stitle><date>2022-06-01</date><risdate>2022</risdate><volume>52</volume><issue>3</issue><artnum>54</artnum><issn>0015-9018</issn><eissn>1572-9516</eissn><abstract>In recent years, the non-relativistic quantum dynamics derived from three assumptions; (i) probability current conservation, (ii) average energy conservation, and (iii) an epistemic momentum uncertainty (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10701-022-00571-z</doi><orcidid>https://orcid.org/0000-0001-7709-7793</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0015-9018
ispartof Foundations of physics, 2022-06, Vol.52 (3), Article 54
issn 0015-9018
1572-9516
language eng
recordid cdi_proquest_journals_2663485326
source SpringerNature Journals
subjects Classical and Quantum Gravitation
Classical Mechanics
Conservation
History and Philosophical Foundations of Physics
Philosophy of Science
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Statistical analysis
Statistical mechanics
Statistical Physics and Dynamical Systems
Uncertainty
title Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-16T00%3A39%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Epistemic%20Uncertainty%20from%20an%20Averaged%20Hamilton%E2%80%93Jacobi%20Formalism&rft.jtitle=Foundations%20of%20physics&rft.au=Kazemi,%20M.%20J.&rft.date=2022-06-01&rft.volume=52&rft.issue=3&rft.artnum=54&rft.issn=0015-9018&rft.eissn=1572-9516&rft_id=info:doi/10.1007/s10701-022-00571-z&rft_dat=%3Cproquest_cross%3E2663485326%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2663485326&rft_id=info:pmid/&rfr_iscdi=true