alan
/
zotero
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity
zotero/storage/9N78L4VS/2402.html

392 lines
89 KiB
HTML
Raw Blame History

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns=http://www.w3.org/1999/xhtml xml:lang=en style lang=en><!--
Page saved with SingleFile
url: http://arxiv.org/abs/2402.12421
saved date: Sat Jul 20 2024 19:03:27 GMT-0400 (EDT)
--><meta charset=utf-8>
<title>[2402.12421] Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics</title>
<meta name=viewport content="width=device-width, initial-scale=1">
<meta name=msapplication-TileColor content=#da532c>
<meta name=theme-color content=#ffffff>
<style media=screen>body{margin:0;padding:0;background-color:#fff;color:#000;font-family:"Lucida Grande",helvetica,arial,verdana,sans-serif}a:link,a:visited,a:active{text-decoration:none;font-weight:normal}a:hover{text-decoration:underline}abbr{border-bottom:0}img{border:0}em{font-weight:bold;font-style:normal}.primary-subject{font-weight:bold}#cu-identity{font-family:verdana,arial,helvetica,sans-serif;font-size:63.125%;color:#fff;background-color:#222;width:100%;display:flex;justify-content:space-between}#cu-logo{position:relative;left:10px;top:2px;width:300px;height:49px}#cu-logo a img{width:200px}#support-ack{top:12px;right:0%;margin:0 12px 0 0;padding:8px 0;text-align:right;font-size:120%;font-weight:normal;font-family:"Lucida Grande",helvetica,arial,verdana,sans-serif;color:#fff}#support-ack-url{max-width:400px;float:right;display:block}#support-ack-url a{color:#fff;border:none;text-decoration:underline}#support-ack-url a:hover{color:#1e8bc3}#header{background-color:#b31b1b;color:#fff;margin:0;padding:10px 0 10px 0;border-bottom:2px solid #ccc;position:relative;overflow:auto}#header .header-breadcrumbs{margin:0;font-size:1em;padding:10px 0 .2em 10px;font-style:normal;float:left;display:inline-flex;align-items:center}#header .header-breadcrumbs span{margin-right:5px;margin-left:5px}#header a,#header a:visited{color:#fff;text-decoration:none}#header a:hover{text-decoration:underline}#header form{margin:0 12px 0 0;padding:0;text-align:right;font-size:.8em;line-height:100%}#header form input,#header form select{margin:0;padding:0}@media screen and (max-width:768px){.search-block.level-right{clear:both!important}#header .header-breadcrumbs{float:none;text-align:center}}main{flex-grow:1}.flex-wrap-footer{display:flex;min-height:100vh;flex-direction:column}footer ul li{display:flex;align-items:center;font-size:14px}footer ul li a{font-size:13.5px}footer{background-color:hsl(0,0%,95%);color:#000;padding:1em 2em;font-size:0.9rem;-webkit-font-smoothing:antialiased;margin-top:6rem}footer a,footer a:visited{color:#000;text-decoration:none;border-bottom:1px solid transparent;line-height:1.75em}footer a:hover,footer a:active{color:#005e9d;border-bottom:1px dotted #005e9d;text-decoration:none}footer ul{padding:0;margin:0}footer .sorry-app-links .help{font-size:0.75rem;margin-bottom:0;line-height:1.75em}footer .sorry-app-links .help a,footer .sorry-app-links .help a:visited{border-bottom:1px dotted #000}footer .sorry-app-links .help a:hover,footer .sorry-app-links .help a:active{border-bottom:1px dotted #005e9d}footer .sorry-app-links svg.icon{margin-bottom:-2px!important}footer .sorry-app-links .icon.filter-black:hover,footer .sorry-app-links .icon.filter-black:active,footer .sorry-app-links a:hover .icon.filter-black,footer .sorry-app-links a:hover .icon.filter-black{fill:#005e9d!important}footer .sorry-app-links .a11y-main-link{font-size:110%;border-bottom:1px solid transparent!important;padding:0;margin:0}@media screen and (max-width:768px){footer .sorry-app-links.column{padding:0}}.endorsers .help{position:relative;top:4rem}@media screen and (min-width:990px){.endorsers .help{top:5rem}}@media screen and (min-width:769px){.columns{display:flex;flex-direction:row}}.icon{width:.9rem;margin-right:.45em;margin-top:-.15rem}.help{font-family:"Lucida Grande","Helvetica Neue",Helvetica,Arial,sans-serif;display:block;font-size:0.75rem;margin-top:0.25rem}#content,#content-inner{margin:.7em;font-size:90%}#abs-outer,#abs{margin:-0.7em}#abs-outer .leftcolumn{margin:0 0 1em 0;padding:0px;width:calc(100% - 18em);float:left}#abs-outer .extra-services{float:right;margin:0;width:18em}#abs-outer .extra-services span.bib-cite-button{color:rgb(0,0,238);font-weight:bold;padding:.35em;display:block;text-transform:capitalize}#abs-outer .extra-services span.bib-cite-button:hover,#abs-outer .extra-services span.bib-cite-button:focus{text-decoration:underline;cursor:pointer}#labstabs{clear:both;margin:1em 1.5em}#labstabs .labstabs{display:flex;flex-wrap:wrap;white-space:normal;justify-content:flex-start}#labstabs .labstabs>label{order:1;display:block;padding:.75em 1.5em;font-size:.85em;color:#4a4a4a;margin-right:0.2rem;cursor:pointer;font-weight:bold;transition:background ease 0.2s;border-radius:6px 6px 0 0;background-color:#eef5f9}#labstabs .labstabs .tab{order:99;flex-grow:1;width:100%;display:none;padding:1rem;border:1px solid #828282;z-index:1;top:-1px;position:relative}#labstabs .labstabs .tab h1{font-size:1.25em;font-weight:normal}#labstabs .labstabs input[type="radio"]:checked+label{background:#ffffff;border:1px solid #828282;border-bottom:0;z-index:2;color:black}#labstabs .labstabs input[type="radio"]:checked+label+.tab{display:block}@media (max-width:45em){#labstabs{padding-bottom:1em;margin:1em}#labstabs .labstabs .tab,#labstabs .labstabs label{order:initial;width:100%;margin-right:0;margin-top:0.2rem;border-radius:0}#labstabs .labstabs>label{font-size:.8em}#labstabs .labstabs .tab{margin-top:-10px!important;border:2px solid #b8b8b8;border-top:0px;background-color:#ffffff}#labstabs .labstabs label{background-color:#eef5f9;color:black;padding:1em .5em}#labstabs .labstabs .labs-display-bib label{background:transparent;color:black;padding:0}#labstabs .labstabs input[type="radio"]:checked+label{background-color:#acd2e8;color:black;border:2px solid #b8b8b8;border-bottom:0px;padding:1em .5em}}#labstabs .toggle{border:1px dotted #c7d3db;padding:.5em;background-color:#eef5f9}#labstabs .toggle .columns.lab-row{align-items:center}#labstabs .toggle .columns.lab-row .column{padding:.5rem .25rem}#labstabs .column.lab-name{flex-basis:auto;flex-grow:0;font-size:.75rem}#labstabs .tab a{display:inline}#labstabs .column.lab-name em{font-size:11px;color:black}#labstabs .column.lab-name em a{line-height:18px;text-decoration:none;padding:0;border:0;font-style:normal;font-size:11px}#labstabs .column.lab-switch{flex-grow:0}#labstabs .toggle .lab-switch label.switch{position:relative;display:inline-block;width:38px;height:20px;padding:0;background-color:transparent;margin:0}#labstabs .toggle .lab-switch .slider{position:absolute;cursor:pointer;top:0;left:0;right:0;bottom:0;border-radius:24px;background-color:#ccc;-webkit-transition:.4s;transition:.4s}#labstabs .toggle .lab-switch .slider:before{position:absolute;content:"";height:16px;width:16px;left:2px;bottom:2px;border-radius:50%;background-color:white;-webkit-transition:.4s;transition:.4s}#abs-outer .subheader{background-color:#eee;color:#000;padding:.25em 0;border-bottom:1px solid #ccc}#abs-outer .subheader h1{margin:0;font-size:1.1em;padding:0 0 .2em 20px;font-weight:bold;font-style:normal}#abs h1.title{margin:.5em 0 .5em 20px;font-size:x-large;font-weight:bold;line-height:120%}#abs .authors{margin:.5em 0 .5em 20px;font-size:medium;line-height:150%}#abs .authors a{font-size:medium}#abs .dateline{margin:.5em 0 .5em 20px;font-style:italic;font-size:small}#abs blockquote.abstract{line-height:1.55;font-size:1.05em;margin-bottom:1.5em}#abs .metatable{font-size:0.92em;line-height:1.5;margin:0 0 1.5em 20px}#abs .tablecell{padding:.1em .5em 0em 0em;vertical-align:top}#abs .arxivid a{font-weight:normal}#abs-outer .submission-history{margin:1.5em 0 1.5em 20px;font-size:90%;line-height:1.5em}#abs-outer .submission-history h2{font-size:120%;margin:0 0 .25em 0;font-weight:bold}#abs-outer .endorsers{margin:1em 0 1.5em 20px;font-size:small;font-style:italic;clear:both}#abs-outer #abs .dateline{margin-top:15px;margin-bottom:0}#abs-outer #abs h1.title{margin-top:.25em}.endorsers .help{display:inline-block}@media screen and (max-width:768px){#abs-outer .extra-services h2{font-size:15px;margin-bottom:.5em}#abs-outer .extra-services h3{font-size:14px}#abs-outer .leftcolumn,#abs-outer .extra-services{width:100%;float:left}#abs-outer .extra-services,#abs-outer .extra-services .full-text,#abs-outer .extra-services .browse,#abs-outer .extra-services .extra-ref-cite{border:0px;font-size:12px}#abs-outer .extra-services{-webkit-box-shadow:inset 0px 8px 15px 0px rgba(173,173,173,1);-moz-box-shadow:inset 0px 8px 15px 0px rgba(173,173,173,1);box-shadow:inset 0px 8px 15px 0px rgba(173,173,173,1);background-color:#E6E6E6;margin:0 0 1em 0;padding:1em 0}#abs-outer .extra-ref-cite ul li{float:left}#abs-outer .extra-services .full-text ul,#abs-outer .extra-services .extra-ref-cite ul{list-style:none;margin:0;padding:0}#abs-outer .extra-services .full-text ul li,#abs-outer .extra-services .extra-ref-cite ul li{display:inline-block;margin:0 0 .25em 0;padding:0}#abs-outer .extra-services .bookmarks{margin:1em 0 0 0;border-left:0;padding:.25em .5em 0 1em;border-top:2px solid #cccccc;font-size:1em}#abs-outer .extra-services .bookmarks .abs-button-small{margin-top:.25em}#abs-outer .extra-services .browse{margin-top:.5em;border-top:2px solid #cccccc;padding-top:1em}#abs-outer .extra-services .prevnext{margin-top:.5em}#abs-outer .extra-services .browse .current{color:#AB4B02;display:inline}.abs-switch-cat{margin:0 0 1em 0}.browse .abs-switch-cat .switch{display:inline}.browse .abs-switch-cat .switch a{font-weight:bold}.abs-button{display:inline-block;border-radius:5px;border:1px solid #046BAF;font-size:1.25em;color:#046BAF!important;padding:.5em;background:#E6E6E6;margin-right:.3em}.abs-button-small{font-size:1em;padding:.25em 1em;margin:.75em .5em 0 0}.abs-button-grey{border:1px solid #666666;color:#666666!important}#abs-outer .extra-services span.bib-cite-button{margin:.5em .5em 0 0;display:inline-block!important;border-radius:5px;background:#E6E6E6;border:1px solid #046BAF;font-size:1em!important;padding:.25em 1em;font-weight:normal;text-transform:capitalize}#abs-outer .extra-services .extra-ref-cite ul li{margin:.5em 0;padding:0;height:auto}#abs-outer .extra-services .extra-ref-cite ul li a{margin:.25em .5em .25em 0}#abs-outer .subheader{background-color:#fefefe;padding:.25em 0;border-bottom:1px solid #ccc}#abs-outer .subheader h1{margin:0;font-size:.75em;padding:.2em 0 .2em 1em;font-weight:normal;font-style:normal;color:#b55c06}#abs-outer #abs .dateline{color:#767676;font-size:.85em;font-style:normal;margin:2em 0 0 1em}#abs-outer .submission-history{padding:1em;margin:0;background-color:#f5f5f5;-webkit-box-shadow:inset 0px -6px 15px 0px rgba(219,219,219,1);-moz-box-shadow:inset 0px -6px 15px 0px rgba(219,219,219,1);box-shadow:inset 0px -6px 15px 0px rgba(219,219,219,1)}#abs-outer #abs h1.title{margin:0 .25em 0 .5em;font-size:1.5em}#abs-outer #abs .authors{margin:1em .25em 0 1em;font-size:.9em;line-height:1.5em}#abs-outer #abs .authors a{font-size:inherit}#abs-outer #abs blockquote.abstract{margin:0 1em}#abs-outer #abs .metatable{margin:.75em 0 1.5em 1.5em}#abs-outer #abs a,#abs-outer a,#abs-outer .endorsers a{color:#1777bc}#abs-outer .submission-history a,#abs-outer .abs-switch-cat .switch a,#abs-outer .extra-services .full-text .abs-license a{color:#046BAF}#abs-outer .endorsers{display:block;float:left;border:1px solid #eee;padding:1em;margin:1em}#abs-outer .endorsers .help{display:none}}.extra-services{border-bottom:.35em solid #ddd}.extra-services h3{font-size:medium;font-weight:normal;margin:0 0 0.3em 0;padding-top:0.3em}.full-text{margin:0;padding:.5em 1em .5em 1em;font-size:110%;font-weight:normal;border-bottom:medium solid #ddd;border-left:.35em solid #ddd}.full-text h2{font-size:140%;font-weight:bold;margin:0.1em 0 0 0}.full-text ul{margin:.3em 0 0 1em;padding:0}.extra-ref-cite{margin:0;padding:0 1em 0 1em;font-size:90%;border-bottom:medium solid #ddd;border-left:.35em solid #ddd}.extra-ref-cite ul{font-weight:normal;margin:0.3em 0 0 20px;padding-left:0;padding-bottom:0.3em}.browse{padding:0 1em 0 1em;font-size:90%;border-bottom:medium solid #ddd;border-left:.35em solid #ddd}.browse .current{padding:0;font-weight:bold}.browse .prevnext{padding:0.2em 0 0 0}.browse .list{padding:0.2em 0 0.5em 0;font-weight:normal}.browse .switch{font-weight:normal;padding:.2em 0em .7em 0em}.bookmarks{clear:both;margin:0;padding:0 1em .5em 1em;font-size:90%;border-left:.35em solid #ddd}.abs-license{font-size:xx-small;padding-top:0.3em}@media screen and (max-width:768px){#cu-identity{flex-direction:column}#support-ack,#cu-logo{text-align:center;width:100%;left:0px}}@media screen and (max-width:768px){.is-hidden-mobile{display:none!important}.columns.is-mobile{display:flex}}.is-sr-only{border:none!important;clip:rect(0,0,0,0)!important;height:0.01em!important;overflow:hidden!important;padding:0!important;position:absolute!important;white-space:nowrap!important;width:0.01em!important}.button{border-width:1px;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}.column{display:block;flex-basis:0;flex-grow:1;flex-shrink:1;padding:0.75rem}.columns.is-vcentered{align-items:center}@media screen and (min-width:769px),print{.columns:not(.is-desktop){display:flex}}@media screen and (min-width:1024px){.columns.is-desktop{display:flex}}svg.icon{height:1em!important}.icon.filter-black{fill:#000000}.filter-dark_grey{fill:#cccccc}a .icon{transition:fill 0.3s ease}a:hover .icon.filter-black,a:hover .icon.filter-grey,a:hover .icon.filter-blue,a:hover .icon.filter-red{fill:#ffffff}.search-block.level-right{display:flex;justify-content:flex-end;clear:right}@media screen and (max-width:768px){.search-block.level-right{justify-content:center;clear:left}.search-block form.level-item{margin-left:12px!important}}.search-block form.level-item,.field.has-addons{display:flex}.search-block p.help{margin-bottom:0}.search-block .input,.search-block select,.search-block .button{font-size:0.75rem;line-height:1.5;height:2.25em;border-radius:2px;border:1px solid transparent}.search-block .button{margin-left:0}.search-block .input{border-color:transparent;box-shadow:inset 0 1px 2px rgba(10,10,10,0.1);border-bottom-right-radius:0;border-top-right-radius:0;border:0;width:100%;max-width:100%}.search-block .control{position:relative}.search-block .select::after{position:absolute;display:block;z-index:4;top:50%;right:.65em;width:0.5em;height:0.5em;content:" ";border:3px solid #0068AC;border-radius:2px;border-right:0;border-top:0;transform:rotate(-45deg);transform-origin:center;pointer-events:none;margin-top:-1.125em}.search-block .select.is-small select{-webkit-appearance:none;-moz-appearance:none;display:block;width:100%;max-width:220px;height:27px;float:right;margin:0px;background-color:#ffffff;background-image:none;-ms-word-break:normal;word-break:normal;border-color:#ccc;box-shadow:inset 0 1px 2px rgba(10,10,10,0.1);border-radius:0}.search-block .button{background-color:#711111;color:#FFF;border-color:transparent}.search-block .button:hover,.search-block .button:focus{background-color:#440A0A;color:#FFF}#header form select,#header form input{padding:0 0.5em}</style>
<link rel=canonical href=http://arxiv.org/abs/2402.12421><meta property=og:type content=website>
<meta property=og:site_name content=arXiv.org>
<meta property=og:title content="Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics">
<meta property=og:url content=https://arxiv.org/abs/2402.12421v1>
<meta property=og:image content=/static/browse/0.3.4/images/arxiv-logo-fb.png>
<meta property=og:image:secure_url content=/static/browse/0.3.4/images/arxiv-logo-fb.png>
<meta property=og:image:width content=1200>
<meta property=og:image:height content=700>
<meta property=og:image:alt content="arXiv logo">
<meta property=og:description content="Quantum nonlocality would naturally fit into a version of relativity with a preferred reference system. However, acceptance of this idea has traditionally required experimental evidence. Namely, detecting in laboratory a small angular dependence of the velocity of light correlated to the cosmic motion of the Earth. Here, we summarize a new theoretical framework where the tiny, irregular residuals observed so far, from Michelson-Morley to current experiments of laser interferometry, can indeed be understood in terms of the Earth motion in the Cosmic Microwave Background observed directly with satellites in space. Our results, challenging the usual null interpretation, emphasize the central role of 'ether-drift' experiments for Relativity, Cosmology and Quantum Physics.">
<meta name=twitter:site content=@arxiv>
<meta name=twitter:card content=summary>
<meta name=twitter:title content="Michelson-Morley Experiments: at the crossroads of Relativity,...">
<meta name=twitter:description content="Quantum nonlocality would naturally fit into a version of relativity with a preferred reference system. However, acceptance of this idea has traditionally required experimental evidence. Namely,...">
<meta name=twitter:image content=https://static.arxiv.org/icons/twitter/arxiv-logo-twitter-square.png>
<meta name=twitter:image:alt content="arXiv logo">
<style media=screen>.visually-hidden{clip-path:inset(100%);clip:rect(1px,1px,1px,1px);height:1px;overflow:hidden;position:absolute;white-space:nowrap;width:1px}.button-and-tooltip{position:relative;display:inline}.button-and-tooltip button{background:transparent;border:none;box-shadow:none;position:relative;padding:0 0 0 6px}td.tablecell.arxivdoi,td.tablecell.doi{display:inline-flex;align-items:center}.arrow{width:0;height:0;border-left:8px solid transparent;border-right:8px solid transparent}@-webkit-keyframes pulsate{0%{-webkit-transform:scale(.1);transform:scale(.1);opacity:0}30%{opacity:1}60%{-webkit-transform:scale(.8);transform:scale(.8);opacity:0}}@keyframes pulsate{0%{-webkit-transform:scale(.1);transform:scale(.1);opacity:0}30%{opacity:1}60%{-webkit-transform:scale(.8);transform:scale(.8);opacity:0}}</style>
<meta name=citation_title content="Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics"><meta name=citation_author content="Consoli, Maurizio"><meta name=citation_author content="Pluchino, Alessandro"><meta name=citation_doi content=10.1142/S0217751X2330017X><meta name=citation_date content=2024/02/19><meta name=citation_online_date content=2024/02/19><meta name=citation_pdf_url content=http://arxiv.org/pdf/2402.12421><meta name=citation_arxiv_id content=2402.12421><meta name=citation_abstract content="Quantum nonlocality would naturally fit into a version of relativity with a preferred reference system. However, acceptance of this idea has traditionally required experimental evidence. Namely, detecting in laboratory a small angular dependence of the velocity of light correlated to the cosmic motion of the Earth. Here, we summarize a new theoretical framework where the tiny, irregular residuals observed so far, from Michelson-Morley to current experiments of laser interferometry, can indeed be understood in terms of the Earth motion in the Cosmic Microwave Background observed directly with satellites in space. Our results, challenging the usual null interpretation, emphasize the central role of 'ether-drift' experiments for Relativity, Cosmology and Quantum Physics.">
<style>#MathJax_Message{position:fixed;left:1px;bottom:2px;background-color:#E6E6E6;border:1px solid #959595;margin:0px;padding:2px 8px;z-index:102;color:black;font-size:80%;width:auto;white-space:nowrap}</style><link rel=icon type=image/png sizes=32x32 href="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAMAAABEpIrGAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAACr1BMVEUAAACzICWzICSyrKazrKWzqaKzraazR0mzTE6zaGizBQiz49uzZmSzEBazHySzsam0ICmzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzICWzrKWzrKWzICWzICWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzICWzrKWzrKWzrKWzICWzICWzICWzHySz4dWzrKWzrKWzrKWzICWzICWzHySzgX2zrqezrKWzrKWzICWzPD+zrKWzrKWzrKWzICWzHySzjYmzr6izraazT1CzLjKzMDSzQUOzrKWzrqezgH2zKi6zHySzICWzrKWzrKWzcW+zICWzICWzrKWzrKWzYWGzICWzrKWzUVKzICWzrKWzrKWznZezQkSzICWzICWzrKWzraazkY2zHiOzICWzICWzjYmzm5WzhIGzODuzAACzHySzHSKzOz6zrqazs6yzICWzICWzODuzrKWzrKWzrKWzICWzICWzODuzo5yzrKWzrKWzICWzICWzICWzGyCzr6ezrKWzrKWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzrKWzrKWzrKWzrKWzrKWzICWzICWzICWzrKWzrKWzrKWzrKWzICWzICWzICWzrKWzrKWzrKWzICWzICWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzrKWzICWzrKWzHySzkYyzrqezHiOzODuzJCmzqaOzISazraazpZ6zNTizkIuzi4ezraX///8A/VYjAAAA1HRSTlMAAAAAAAAAAAAAAAAAAAAAAAGA95kOB7X6kQ9W8fyaEQIBA3z9oRUllnUKDJz+qBgwxuwxGbquHD3SpQwt1CBL3cEeR+e7JFvm1mX0wSgEbO5HBYXFkfPyYaX++n0EHsH9lwtO8/NRJrr8/ttFGb7+3jpk/v6ecv6sK9j+/vVcQNf+8nUGSfD7dQMHivyVCmr2/vl3A0np28zvWS7V0joht+HJMR2vzCcLvygYp7IVc7QhFJ/9lQkSzhoRl/t2lu0UDY9XDSoLhvjgOwh89a4GB4L2i8A61lMAAAABYktHROQvYjspAAAAB3RJTUUH5wETDS455INCLAAAAgZJREFUOMt10/dfTXEYB/Dz6Ilst3lFueWmjDIysmdkF0Kyyd7Ze5WZcc2ErIhKISops6zs73Pda1zrH/EcoXPqe8+vn/fre57z+T5HURQwuHt4eoHi9AFvH2Fs6gu1nAJo1lz4+beAqkNc0BSAGhHY0ijMQa3+C8TgkNZttKJtOyFCw9r/FYgdOlKncC2Azl2EEF27/RGIEd2JevRE3Ri9erPw6cMCA/r2I+o/AFE/6MBBLCIHg6tpSBTR0HB9rophw1mMGDlqdDRRVEz1nMWYsX4sxsWOJ5owsWbOwjeOgXXSR1v85CmSnF8ydZpVCPun6TNm1pY2Wsdt1mwW1oQ5devJcsS58+YvUMXCRSC7Oly8hGjpZxZi2XKJQFyRSPRl5VcGYpVBBlYTkePbGvWItYGSd+C69arYsNEuNm2WDYG4ZauDyLbt+/YdO6X7Vb9BUjILx67dexpKe2i0d9/+HzYWKQcay3IwHDxkP/yT57AcOSq7Cjh2nIs+cfIXUeopyWVC2mn+vjNn08/xGecjaojKpbtwEVwvZbC4fKWagEx/zq9eA0DMyuZKc67rN65JrlGIvBtqP4g3b+VT4u07uqUtKBTmsKLK/hDvFt8jS4lJu/fepfc9H1T9OA8fxVPqY80YAE/KMjX9Y/nTZ/T8hWwz/4mXFa/o9RvnQMG3795/UKf4DUwCyzJ9eBcsAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIzLTAxLTE5VDEzOjQ2OjU3KzAwOjAwqJ4w4AAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMy0wMS0xOVQxMzo0Njo1NyswMDowMNnDiFwAAABXelRYdFJhdyBwcm9maWxlIHR5cGUgaXB0YwAAeJzj8gwIcVYoKMpPy8xJ5VIAAyMLLmMLEyMTS5MUAxMgRIA0w2QDI7NUIMvY1MjEzMQcxAfLgEigSi4A6hcRdPJCNZUAAAAASUVORK5CYII="><style>.sf-hidden{display:none!important}</style><meta http-equiv=content-security-policy content="default-src 'none'; font-src 'self' data:; img-src 'self' data:; style-src 'unsafe-inline'; media-src 'self' data:; script-src 'unsafe-inline' data:; object-src 'self' data:;"><style>img[src="data:,"],source[src="data:,"]{display:none!important}</style></head>
<body class=with-cu-identity><div id=MathJax_Message style=display:none></div>
<div class=flex-wrap-footer>
<header>
<a href=#content class=is-sr-only>Skip to main content</a>
<div class="columns is-vcentered is-hidden-mobile" id=cu-identity>
<div class=column id=cu-logo>
<a href=https://www.cornell.edu/><img src=data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 22.1.0, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
<svg version="1.1" id="Layer_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
	 viewBox="0 0 200.7 45" style="enable-background:new 0 0 200.7 45;" xml:space="preserve">
<style type="text/css">
	.st0{fill:#FFFFFF;}
	.st1{fill:#FFFFFF;stroke:#000000;stroke-width:0.1561;}
	.st2{fill:#FFFFFF;stroke:#000000;}
</style>
<g id="Layer_2_1_">
</g>
<g>
	<g id="Layer_1_1_">
		<path class="st0" d="M22.4,45C10,45,0,34.8,0,22.4S10,0,22.4,0s22.4,10,22.4,22.4C44.9,34.8,34.8,45,22.4,45z M22.4,2.5
			c-11,0-20,9-20,20s9,20,20,20s20-9,20-20C42.4,11.4,33.5,2.5,22.4,2.5z"/>
		<path class="st1" d="M17.2,24.9"/>
		<path class="st0" d="M22.4,42.3l-0.4-0.1c-0.5-0.2-13.2-5.8-13.2-15.9V8.1h27.2v18.4c0,9.7-12.6,15.3-13.2,15.6L22.4,42.3z
			 M10.8,9.9v16.3c0,8.1,9.7,13.1,11.8,14.1c2-1,11.8-6.1,11.8-13.7V10H10.8C10.8,10,10.8,9.9,10.8,9.9z"/>
		<path class="st0" d="M16.7,18.8l-0.2-0.1c0,0-1.5-0.9-2.3-1.5c-0.7-0.5-1.1-1.1-1.2-1.6c0-0.1,0-1.6,0-4.5v-0.6h7.7V11
			c0,2.9,0,4.4,0,4.5c0,0.6-0.4,1.1-1.1,1.6c-1,0.6-2.3,1.5-2.4,1.5L16.7,18.8z M14,11.5c0,1.6,0,3.7,0,3.9c0,0.1,0.2,0.5,0.6,0.7
			c0.6,0.4,1.5,1,2,1.2c0.5-0.2,1.5-0.9,2.1-1.2c0.2-0.1,0.6-0.4,0.6-0.6c0-0.2,0-2.2,0-3.9H14L14,11.5L14,11.5z"/>
		<path class="st0" d="M28.7,18.8l-0.2-0.1c0,0-1.5-0.9-2.3-1.5c-0.7-0.5-1.1-1.1-1.2-1.6c0-0.1,0-1.6,0-4.5v-0.6h7.7V11
			c0,2.9,0,4.4,0,4.5c0,0.6-0.4,1.1-1.1,1.6c-1,0.6-2.3,1.5-2.4,1.5L28.7,18.8z M26,11.5c0,1.6,0,3.7,0,3.9c0,0.1,0.2,0.5,0.6,0.7
			c0.6,0.4,1.5,1,2,1.2c0.5-0.2,1.5-0.9,2.1-1.2c0.2-0.1,0.6-0.4,0.6-0.6c0-0.2,0-2.2,0-3.9H26L26,11.5L26,11.5z"/>
		<rect x="9.3" y="19.1" class="st0" width="26.5" height="1.6"/>
		<g>
			<g>
				<path class="st0" d="M22.4,35.2c-0.5,0-0.7-0.4-0.9-0.5c-0.1-0.1-0.2-0.2-0.4-0.2c-0.7,0-1.2,0-1.8,0.1c-0.6,0-1.2,0.1-2.2,0.1
					s-1.7,0-1.7,0h-0.7V22.3h0.7c0.5,0,1.1,0,2.1,0c0.5,0,1-0.1,1.6-0.1c0.4,0,0.7-0.1,1.1-0.1c0.9-0.1,1.6,0.1,1.7,0.1
					c0.2,0,0.4,0.1,0.6,0.2c0.1-0.1,0.4-0.1,0.6-0.2c0,0,0.9-0.1,1.7-0.1c0.4,0,0.7,0.1,1.1,0.1c0.6,0.1,1.1,0.1,1.6,0.1
					c1,0,1.6,0,2.1,0h0.7v12.4h-0.7c0,0-0.7,0-1.7,0c-1,0-1.6-0.1-2.2-0.1c-0.6,0-1.1-0.1-1.8-0.1c-0.2,0-0.2,0-0.4,0.2
					C23.2,35,22.9,35.2,22.4,35.2z M21.2,33.1c0.6,0,1.1,0.2,1.4,0.5c0.2-0.2,0.7-0.5,1.4-0.5c0.7,0,1.4,0,2,0.1
					c0.6,0,1.2,0.1,2.1,0.1c0.4,0,0.6,0,0.9,0v-9.5c-0.4,0-0.9,0-1.4,0c-0.5,0-1.1-0.1-1.7-0.1c-0.4,0-0.7-0.1-1.1-0.1
					c-0.6-0.1-1.2,0-1.2,0c-0.1,0-0.2,0.1-0.2,0.1s0,0,0.1-0.1l-0.7-0.1l-0.7,0.1c0,0.1,0,0.1,0.1,0.1c0,0,0,0-0.2-0.1l0,0
					c0,0-0.6-0.1-1.2,0c-0.4,0-0.7,0.1-1.1,0.1c-0.6,0.1-1.2,0.1-1.7,0.1c-0.6,0-1,0-1.4,0v9.5c0.2,0,0.6,0,0.9,0
					c0.9,0,1.5-0.1,2.1-0.1C19.9,33.1,20.4,33.1,21.2,33.1z"/>
			</g>
		</g>
		<rect x="13.4" y="12.8" class="st0" width="6.4" height="1.1"/>
		<rect x="21.8" y="19.5" class="st0" width="1.5" height="21.8"/>
		<polygon class="st0" points="31.4,15.2 28.6,13.4 26,15.2 25.3,14.3 28.6,12 32,14.3 		"/>
		<path class="st2" d="M28.5,15.3"/>
		<rect x="17.2" y="25.1" class="st0" width="3.2" height="1.1"/>
		<rect x="17.2" y="27.7" class="st0" width="3.2" height="1.1"/>
		<rect x="17.2" y="30.3" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="25.1" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="27.7" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="30.3" class="st0" width="3.2" height="1.1"/>
	</g>
	<g id="Layer_3">
		<g>
			<path class="st0" d="M65.1,28.7c-1.1,0.7-3.1,1.1-4.3,1.1c-4.7,0-7.8-2.7-7.8-7.1c0-2.2,0.9-4,2.4-5.3c1.5-1.2,3.4-1.8,5.6-1.8
				c1.8,0,3.6,0.5,4.5,0.9c-0.2,1-0.4,2-0.4,2.9h-0.6v-1.5c0-0.5-0.7-0.9-1.7-1.2c-0.6-0.2-1.5-0.4-2.2-0.4c-3.7,0-5.6,2.7-5.6,6
				c0,3.9,2.6,6.4,6.5,6.4c1.5,0,3.1-0.5,3.9-1.2l0.1,0.2L65.1,28.7z"/>
			<path class="st0" d="M70,29.7c-2.4,0-4.2-2-4.2-4.5c0-2.9,1.8-5,5-5c2.4,0,4.4,2,4.4,4.4c0,2.9-2.1,5.2-5.2,5.2L70,29.7L70,29.7
				L70,29.7L70,29.7z M67.7,24.3c0,2.1,0.7,4.8,3.3,4.8c1.8,0,2.6-1.8,2.6-3.6c0-2.6-1.2-4.7-3.1-4.7C68.3,20.7,67.7,22.4,67.7,24.3
				z"/>
			<path class="st0" d="M76.8,22.9c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v2l0,0
				l1.1-1.2c0.5-0.6,1.1-0.9,1.6-0.9c0.4,0,0.7,0.1,0.9,0.2l-0.1,2.3h-0.4c-0.2-0.5-0.6-0.9-1.4-0.9c-0.9,0-1.7,0.9-1.7,2.2v3.4
				c0,0.5,0,1,0.1,1.1c0.1,0.1,0.4,0.2,0.9,0.2h1v0.6c-1,0-1.8,0-2.8,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2
				c0.1-0.2,0.1-0.6,0.1-1.1L76.8,22.9L76.8,22.9L76.8,22.9L76.8,22.9L76.8,22.9z"/>
			<path class="st0" d="M85.8,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0s-1.7,0-2.4,0v-0.6h0.9
				c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.6v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v1.7l0,0l1.5-1.2c0.5-0.4,0.9-0.5,1.6-0.5c2.3,0,3.2,1.2,3.2,3.4v3.8c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.5,0-1.1,0-1.6,0c-0.5,0-1.1,0-1.6,0v-5.5c0-1.6-1-2.4-2.2-2.4c-1.2,0-2.4,1-2.4,1.8
				L85.8,27.3L85.8,27.3z"/>
			<path class="st0" d="M101.9,23.7c0,0.2,0,0.5,0,0.9c-1.2,0.2-2.3,0.2-3.6,0.2h-2.8c0,2.3,1.1,3.9,3.6,3.9c1,0,1.7-0.5,2.4-1
				l0.2,0.2l-0.4,0.6c-0.1,0.2-1.8,1.1-3.2,1.1c-2.9,0-4.5-1.8-4.5-4.5c0-2,0.5-3.1,1.5-3.8c0.4-0.2,0.7-0.6,1.2-0.7
				c0.7-0.4,1.2-0.5,2-0.5C100.3,20.1,101.9,21.5,101.9,23.7z M95.5,23.8V24c0.9,0.1,1.7,0.1,2.4,0.1c0.7,0,1.5,0,2.2,0
				c0-1.8-0.6-3.3-2.1-3.3C96.6,20.7,95.5,21.8,95.5,23.8z"/>
			<path class="st0" d="M103.7,17.2c0-0.5,0-0.9-0.5-0.9h-1.1v-0.5c1-0.1,2.1-0.4,3.1-0.7l0.1,0.1v12.1c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0s-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1
				L103.7,17.2L103.7,17.2z"/>
			<path class="st0" d="M108.7,17.2c0-0.5,0-0.9-0.5-0.9H107v-0.5c1-0.1,2.1-0.4,3.1-0.7l0.1,0.1v12.1c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1
				L108.7,17.2L108.7,17.2z"/>
			<path class="st0" d="M117.8,18.2c0-0.7,0-1.2-0.1-1.5s-0.4-0.2-0.9-0.2h-1v-0.6c1,0,2,0,2.9,0c0.9,0,1.8,0,2.8,0v0.6h-1
				c-0.5,0-0.7,0.1-0.9,0.2c-0.1,0.2-0.1,0.7-0.1,1.5v6.7c0,2.8,1.5,3.6,4,3.6c2.1,0,4-0.9,4-4v-6.3c0-0.7,0-1.2-0.1-1.5
				c-0.1-0.2-0.4-0.2-0.9-0.2h-0.9v-0.6c0.7,0,1.6,0,2.3,0c0.7,0,1.5,0,2.3,0v0.6h-0.9c-0.5,0-0.7,0.1-0.9,0.2
				c-0.1,0.2-0.1,0.7-0.1,1.5v5.6c0,4.2-1.6,5.9-5.5,5.9c-3.3,0-5.3-1-5.3-4.5L117.8,18.2L117.8,18.2L117.8,18.2z"/>
			<path class="st0" d="M133.2,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v1.7l0,0l1.5-1.2c0.5-0.4,0.9-0.5,1.6-0.5c2.3,0,3.2,1.2,3.2,3.4v3.8c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.5,0-1.1,0-1.6,0c-0.5,0-1.1,0-1.6,0v-5.5c0-1.6-1-2.4-2.2-2.4c-1.2,0-2.4,1-2.4,1.8
				L133.2,27.3L133.2,27.3L133.2,27.3L133.2,27.3z"/>
			<path class="st0" d="M144.9,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1L144.9,27.3L144.9,27.3L144.9,27.3L144.9,27.3z M145.1,16.9c0,0.6-0.5,1.1-1.1,1.1
				c-0.6,0-1.1-0.5-1.1-1.1s0.5-1.1,1.1-1.1C144.6,15.8,145.1,16.3,145.1,16.9z"/>
			<path class="st0" d="M152.3,27.3c-0.4,0.7-0.5,1.5-0.9,2.1h-1l-3.4-8c-0.1-0.2-0.2-0.6-0.6-0.6h-0.6v-0.5c0.7,0,1.5,0,2.3,0
				c0.7,0,1.5,0,2.3,0v0.5h-1c-0.4,0-0.5,0.1-0.5,0.4c0,0.1,0,0.4,0.1,0.7l2.3,5.6c0.4-0.9,0.9-1.8,1.2-2.7l0.9-2.1
				c0.2-0.6,0.4-1.1,0.4-1.5c0-0.4-0.1-0.5-0.5-0.5h-0.9v-0.5c0.6,0,1.2,0,1.8,0c0.6,0,1.2,0,1.8,0v0.5h-0.6c-0.5,0-0.9,0.7-1.1,1.4
				L152.3,27.3z"/>
			<path class="st0" d="M164.1,23.7c0,0.2,0,0.5,0,0.9c-1.2,0.2-2.3,0.2-3.6,0.2h-2.8c0,2.3,1.1,3.9,3.6,3.9c1,0,1.7-0.5,2.4-1
				l0.2,0.2l-0.4,0.6c-0.1,0.2-1.8,1.1-3.2,1.1c-2.9,0-4.5-1.8-4.5-4.5c0-2,0.5-3.1,1.5-3.8c0.4-0.2,0.7-0.6,1.2-0.7
				c0.7-0.4,1.2-0.5,2-0.5C162.5,20.1,164.1,21.5,164.1,23.7z M157.6,23.8V24c0.9,0.1,1.7,0.1,2.4,0.1s1.5,0,2.2,0
				c0-1.8-0.6-3.3-2.1-3.3C158.8,20.7,157.6,21.8,157.6,23.8z"/>
			<path class="st0" d="M166.3,22.9c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v2l0,0
				l1.1-1.2c0.5-0.6,1.1-0.9,1.6-0.9c0.4,0,0.7,0.1,0.9,0.2l-0.1,2.3h-0.4c-0.2-0.5-0.6-0.9-1.4-0.9c-0.9,0-1.7,0.9-1.7,2.2v3.4
				c0,0.5,0,1,0.1,1.1c0.1,0.1,0.4,0.2,0.9,0.2h1v0.6c-1,0-1.8,0-2.8,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2
				c0.1-0.2,0.1-0.6,0.1-1.1L166.3,22.9L166.3,22.9L166.3,22.9L166.3,22.9z"/>
			<path class="st0" d="M173,26.5v0.9c0,1.2,1.4,1.7,2.6,1.7c1.2,0,2.3-0.7,2.3-1.8c0-0.6-0.4-1.1-1-1.3c-0.9-0.2-2-0.5-2.9-0.7
				c-1-0.4-1.7-1-1.7-2.1c0-2.1,1.8-2.8,3.7-2.8c1,0,1.7,0.2,2.6,0.5c0,0.7-0.1,1.5-0.1,2.2h-0.5v-0.5c0-1-1.1-1.6-2.3-1.6
				c-1.7,0-2,1-2,1.6c0,0.9,0.6,1.4,2.1,1.6c2.3,0.4,3.4,1,3.4,2.4c0,2.2-2.2,3.3-4.3,3.3c-1,0-1.8-0.1-2.7-0.5
				c0.2-0.9,0.2-1.8,0.2-2.7h0.6L173,26.5L173,26.5L173,26.5L173,26.5z"/>
			<path class="st0" d="M183.2,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1L183.2,27.3L183.2,27.3L183.2,27.3L183.2,27.3z M183.4,16.9c0,0.6-0.5,1.1-1.1,1.1
				c-0.6,0-1.1-0.5-1.1-1.1s0.5-1.1,1.1-1.1C182.8,15.8,183.4,16.3,183.4,16.9z"/>
			<path class="st0" d="M184.5,22v-0.4l1.5-0.7v-1.3c0-0.5,0-1-0.1-1.6c0.7-0.2,1.4-0.5,1.7-0.7l0.2,0.2c-0.1,0.9-0.2,2-0.2,2.8V21
				l2.7-0.1l-0.1,1.1h-2.4v5.2c0,0.9,0.2,1.4,1.1,1.4c0.5,0,0.9-0.2,1.1-0.4l0.2,0.4l-1,1c-0.1,0.2-0.9,0.2-1.2,0.2
				c-1,0-2-0.5-2-2.1v-5.7L184.5,22z"/>
			<path class="st0" d="M198.3,22c0.1-0.2,0.1-0.4,0.1-0.5c0-0.4-0.2-0.5-0.9-0.5H197v-0.5c0.6,0,1.2,0,1.8,0c0.6,0,1.2,0,1.8,0V21
				h-0.5c-0.5,0-0.9,0.6-1.6,2.3l-3.9,9.2c-0.6,1.5-1.3,2.4-2.9,2.4c-0.4,0-0.7-0.1-1-0.2l0.5-1.5h0.2c0.2,0.2,0.7,0.5,1,0.5l0,0
				c1.1-0.1,1.7-1.7,2.1-2.6l0.5-1.2l-3.2-8c-0.4-0.7-0.6-1-1-1h-0.4v-0.5c0.7,0,1.5,0,2.3,0c0.7,0,1.5,0,2.3,0V21h-0.7
				c-0.4,0-0.6,0.1-0.6,0.5c0,0.2,0,0.5,0.1,0.7l2.2,5.4L198.3,22z"/>
		</g>
	</g>
</g>
</svg>
 alt="Cornell University"></a>
</div><div class=column id=support-ack>
<span id=support-ack-url>We gratefully acknowledge support from the Simons Foundation, <a href=https://info.arxiv.org/about/ourmembers.html>member institutions</a>, and all contributors. <a href=https://info.arxiv.org/about/donate.html>Donate</a></span>
</div>
</div>
<div id=header class=is-hidden-mobile>
<a aria-hidden=true href="http://arxiv.org/abs/%7Burl_path('ignore_me')%7D"></a>
<div class="header-breadcrumbs is-hidden-mobile">
<a href=http://arxiv.org/><img src=data:image/svg+xml;base64,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 alt="arxiv logo" style=height:40px></a> <span>&gt;</span> <a href=http://arxiv.org/list/physics/recent>physics</a> <span>&gt;</span> arXiv:2402.12421
</div>
<div class="search-block level-right">
<form class="level-item mini-search" method=GET action=https://arxiv.org/search>
<div class="field has-addons">
<div class=control>
<input class="input is-small" name=query placeholder=Search... aria-label="Search term or terms" value type=text>
<p class=help><a href=https://info.arxiv.org/help>Help</a> | <a href=https://arxiv.org/search/advanced>Advanced Search</a></p>
</div>
<div class=control>
<div class="select is-small">
<select name=searchtype aria-label="Field to search">
<option value=all selected>All fields</option>
<option value=title>Title</option>
<option value=author>Author</option>
<option value=abstract>Abstract</option>
<option value=comments>Comments</option>
<option value=journal_ref>Journal reference</option>
<option value=acm_class>ACM classification</option>
<option value=msc_class>MSC classification</option>
<option value=report_num>Report number</option>
<option value=paper_id>arXiv identifier</option>
<option value=doi>DOI</option>
<option value=orcid>ORCID</option>
<option value=author_id>arXiv author ID</option>
<option value=help>Help pages</option>
<option value=full_text>Full text</option>
</select>
</div>
</div>
<button class="button is-small is-cul-darker">Search</button>
</div>
</form>
</div>
</div>
<div class="mobile-header sf-hidden">
<div class="columns is-mobile sf-hidden">
<div class="column logo-cornell sf-hidden"><a href=https://www.cornell.edu/ class=sf-hidden>
<picture class=sf-hidden>
<source media="(min-width: 501px)" srcset="data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 22.1.0, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
<svg version="1.1" id="Layer_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
	 viewBox="0 0 200.7 45" style="enable-background:new 0 0 200.7 45;" xml:space="preserve">
<style type="text/css">
	.st0{fill:#FFFFFF;}
	.st1{fill:#FFFFFF;stroke:#000000;stroke-width:0.1561;}
	.st2{fill:#FFFFFF;stroke:#000000;}
</style>
<g id="Layer_2_1_">
</g>
<g>
	<g id="Layer_1_1_">
		<path class="st0" d="M22.4,45C10,45,0,34.8,0,22.4S10,0,22.4,0s22.4,10,22.4,22.4C44.9,34.8,34.8,45,22.4,45z M22.4,2.5
			c-11,0-20,9-20,20s9,20,20,20s20-9,20-20C42.4,11.4,33.5,2.5,22.4,2.5z"/>
		<path class="st1" d="M17.2,24.9"/>
		<path class="st0" d="M22.4,42.3l-0.4-0.1c-0.5-0.2-13.2-5.8-13.2-15.9V8.1h27.2v18.4c0,9.7-12.6,15.3-13.2,15.6L22.4,42.3z
			 M10.8,9.9v16.3c0,8.1,9.7,13.1,11.8,14.1c2-1,11.8-6.1,11.8-13.7V10H10.8C10.8,10,10.8,9.9,10.8,9.9z"/>
		<path class="st0" d="M16.7,18.8l-0.2-0.1c0,0-1.5-0.9-2.3-1.5c-0.7-0.5-1.1-1.1-1.2-1.6c0-0.1,0-1.6,0-4.5v-0.6h7.7V11
			c0,2.9,0,4.4,0,4.5c0,0.6-0.4,1.1-1.1,1.6c-1,0.6-2.3,1.5-2.4,1.5L16.7,18.8z M14,11.5c0,1.6,0,3.7,0,3.9c0,0.1,0.2,0.5,0.6,0.7
			c0.6,0.4,1.5,1,2,1.2c0.5-0.2,1.5-0.9,2.1-1.2c0.2-0.1,0.6-0.4,0.6-0.6c0-0.2,0-2.2,0-3.9H14L14,11.5L14,11.5z"/>
		<path class="st0" d="M28.7,18.8l-0.2-0.1c0,0-1.5-0.9-2.3-1.5c-0.7-0.5-1.1-1.1-1.2-1.6c0-0.1,0-1.6,0-4.5v-0.6h7.7V11
			c0,2.9,0,4.4,0,4.5c0,0.6-0.4,1.1-1.1,1.6c-1,0.6-2.3,1.5-2.4,1.5L28.7,18.8z M26,11.5c0,1.6,0,3.7,0,3.9c0,0.1,0.2,0.5,0.6,0.7
			c0.6,0.4,1.5,1,2,1.2c0.5-0.2,1.5-0.9,2.1-1.2c0.2-0.1,0.6-0.4,0.6-0.6c0-0.2,0-2.2,0-3.9H26L26,11.5L26,11.5z"/>
		<rect x="9.3" y="19.1" class="st0" width="26.5" height="1.6"/>
		<g>
			<g>
				<path class="st0" d="M22.4,35.2c-0.5,0-0.7-0.4-0.9-0.5c-0.1-0.1-0.2-0.2-0.4-0.2c-0.7,0-1.2,0-1.8,0.1c-0.6,0-1.2,0.1-2.2,0.1
					s-1.7,0-1.7,0h-0.7V22.3h0.7c0.5,0,1.1,0,2.1,0c0.5,0,1-0.1,1.6-0.1c0.4,0,0.7-0.1,1.1-0.1c0.9-0.1,1.6,0.1,1.7,0.1
					c0.2,0,0.4,0.1,0.6,0.2c0.1-0.1,0.4-0.1,0.6-0.2c0,0,0.9-0.1,1.7-0.1c0.4,0,0.7,0.1,1.1,0.1c0.6,0.1,1.1,0.1,1.6,0.1
					c1,0,1.6,0,2.1,0h0.7v12.4h-0.7c0,0-0.7,0-1.7,0c-1,0-1.6-0.1-2.2-0.1c-0.6,0-1.1-0.1-1.8-0.1c-0.2,0-0.2,0-0.4,0.2
					C23.2,35,22.9,35.2,22.4,35.2z M21.2,33.1c0.6,0,1.1,0.2,1.4,0.5c0.2-0.2,0.7-0.5,1.4-0.5c0.7,0,1.4,0,2,0.1
					c0.6,0,1.2,0.1,2.1,0.1c0.4,0,0.6,0,0.9,0v-9.5c-0.4,0-0.9,0-1.4,0c-0.5,0-1.1-0.1-1.7-0.1c-0.4,0-0.7-0.1-1.1-0.1
					c-0.6-0.1-1.2,0-1.2,0c-0.1,0-0.2,0.1-0.2,0.1s0,0,0.1-0.1l-0.7-0.1l-0.7,0.1c0,0.1,0,0.1,0.1,0.1c0,0,0,0-0.2-0.1l0,0
					c0,0-0.6-0.1-1.2,0c-0.4,0-0.7,0.1-1.1,0.1c-0.6,0.1-1.2,0.1-1.7,0.1c-0.6,0-1,0-1.4,0v9.5c0.2,0,0.6,0,0.9,0
					c0.9,0,1.5-0.1,2.1-0.1C19.9,33.1,20.4,33.1,21.2,33.1z"/>
			</g>
		</g>
		<rect x="13.4" y="12.8" class="st0" width="6.4" height="1.1"/>
		<rect x="21.8" y="19.5" class="st0" width="1.5" height="21.8"/>
		<polygon class="st0" points="31.4,15.2 28.6,13.4 26,15.2 25.3,14.3 28.6,12 32,14.3 		"/>
		<path class="st2" d="M28.5,15.3"/>
		<rect x="17.2" y="25.1" class="st0" width="3.2" height="1.1"/>
		<rect x="17.2" y="27.7" class="st0" width="3.2" height="1.1"/>
		<rect x="17.2" y="30.3" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="25.1" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="27.7" class="st0" width="3.2" height="1.1"/>
		<rect x="24.3" y="30.3" class="st0" width="3.2" height="1.1"/>
	</g>
	<g id="Layer_3">
		<g>
			<path class="st0" d="M65.1,28.7c-1.1,0.7-3.1,1.1-4.3,1.1c-4.7,0-7.8-2.7-7.8-7.1c0-2.2,0.9-4,2.4-5.3c1.5-1.2,3.4-1.8,5.6-1.8
				c1.8,0,3.6,0.5,4.5,0.9c-0.2,1-0.4,2-0.4,2.9h-0.6v-1.5c0-0.5-0.7-0.9-1.7-1.2c-0.6-0.2-1.5-0.4-2.2-0.4c-3.7,0-5.6,2.7-5.6,6
				c0,3.9,2.6,6.4,6.5,6.4c1.5,0,3.1-0.5,3.9-1.2l0.1,0.2L65.1,28.7z"/>
			<path class="st0" d="M70,29.7c-2.4,0-4.2-2-4.2-4.5c0-2.9,1.8-5,5-5c2.4,0,4.4,2,4.4,4.4c0,2.9-2.1,5.2-5.2,5.2L70,29.7L70,29.7
				L70,29.7L70,29.7z M67.7,24.3c0,2.1,0.7,4.8,3.3,4.8c1.8,0,2.6-1.8,2.6-3.6c0-2.6-1.2-4.7-3.1-4.7C68.3,20.7,67.7,22.4,67.7,24.3
				z"/>
			<path class="st0" d="M76.8,22.9c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v2l0,0
				l1.1-1.2c0.5-0.6,1.1-0.9,1.6-0.9c0.4,0,0.7,0.1,0.9,0.2l-0.1,2.3h-0.4c-0.2-0.5-0.6-0.9-1.4-0.9c-0.9,0-1.7,0.9-1.7,2.2v3.4
				c0,0.5,0,1,0.1,1.1c0.1,0.1,0.4,0.2,0.9,0.2h1v0.6c-1,0-1.8,0-2.8,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2
				c0.1-0.2,0.1-0.6,0.1-1.1L76.8,22.9L76.8,22.9L76.8,22.9L76.8,22.9L76.8,22.9z"/>
			<path class="st0" d="M85.8,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0s-1.7,0-2.4,0v-0.6h0.9
				c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.6v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v1.7l0,0l1.5-1.2c0.5-0.4,0.9-0.5,1.6-0.5c2.3,0,3.2,1.2,3.2,3.4v3.8c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.5,0-1.1,0-1.6,0c-0.5,0-1.1,0-1.6,0v-5.5c0-1.6-1-2.4-2.2-2.4c-1.2,0-2.4,1-2.4,1.8
				L85.8,27.3L85.8,27.3z"/>
			<path class="st0" d="M101.9,23.7c0,0.2,0,0.5,0,0.9c-1.2,0.2-2.3,0.2-3.6,0.2h-2.8c0,2.3,1.1,3.9,3.6,3.9c1,0,1.7-0.5,2.4-1
				l0.2,0.2l-0.4,0.6c-0.1,0.2-1.8,1.1-3.2,1.1c-2.9,0-4.5-1.8-4.5-4.5c0-2,0.5-3.1,1.5-3.8c0.4-0.2,0.7-0.6,1.2-0.7
				c0.7-0.4,1.2-0.5,2-0.5C100.3,20.1,101.9,21.5,101.9,23.7z M95.5,23.8V24c0.9,0.1,1.7,0.1,2.4,0.1c0.7,0,1.5,0,2.2,0
				c0-1.8-0.6-3.3-2.1-3.3C96.6,20.7,95.5,21.8,95.5,23.8z"/>
			<path class="st0" d="M103.7,17.2c0-0.5,0-0.9-0.5-0.9h-1.1v-0.5c1-0.1,2.1-0.4,3.1-0.7l0.1,0.1v12.1c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0s-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1
				L103.7,17.2L103.7,17.2z"/>
			<path class="st0" d="M108.7,17.2c0-0.5,0-0.9-0.5-0.9H107v-0.5c1-0.1,2.1-0.4,3.1-0.7l0.1,0.1v12.1c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1
				L108.7,17.2L108.7,17.2z"/>
			<path class="st0" d="M117.8,18.2c0-0.7,0-1.2-0.1-1.5s-0.4-0.2-0.9-0.2h-1v-0.6c1,0,2,0,2.9,0c0.9,0,1.8,0,2.8,0v0.6h-1
				c-0.5,0-0.7,0.1-0.9,0.2c-0.1,0.2-0.1,0.7-0.1,1.5v6.7c0,2.8,1.5,3.6,4,3.6c2.1,0,4-0.9,4-4v-6.3c0-0.7,0-1.2-0.1-1.5
				c-0.1-0.2-0.4-0.2-0.9-0.2h-0.9v-0.6c0.7,0,1.6,0,2.3,0c0.7,0,1.5,0,2.3,0v0.6h-0.9c-0.5,0-0.7,0.1-0.9,0.2
				c-0.1,0.2-0.1,0.7-0.1,1.5v5.6c0,4.2-1.6,5.9-5.5,5.9c-3.3,0-5.3-1-5.3-4.5L117.8,18.2L117.8,18.2L117.8,18.2z"/>
			<path class="st0" d="M133.2,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v1.7l0,0l1.5-1.2c0.5-0.4,0.9-0.5,1.6-0.5c2.3,0,3.2,1.2,3.2,3.4v3.8c0,0.5,0,1,0.1,1.1
				c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.5,0-1.1,0-1.6,0c-0.5,0-1.1,0-1.6,0v-5.5c0-1.6-1-2.4-2.2-2.4c-1.2,0-2.4,1-2.4,1.8
				L133.2,27.3L133.2,27.3L133.2,27.3L133.2,27.3z"/>
			<path class="st0" d="M144.9,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1L144.9,27.3L144.9,27.3L144.9,27.3L144.9,27.3z M145.1,16.9c0,0.6-0.5,1.1-1.1,1.1
				c-0.6,0-1.1-0.5-1.1-1.1s0.5-1.1,1.1-1.1C144.6,15.8,145.1,16.3,145.1,16.9z"/>
			<path class="st0" d="M152.3,27.3c-0.4,0.7-0.5,1.5-0.9,2.1h-1l-3.4-8c-0.1-0.2-0.2-0.6-0.6-0.6h-0.6v-0.5c0.7,0,1.5,0,2.3,0
				c0.7,0,1.5,0,2.3,0v0.5h-1c-0.4,0-0.5,0.1-0.5,0.4c0,0.1,0,0.4,0.1,0.7l2.3,5.6c0.4-0.9,0.9-1.8,1.2-2.7l0.9-2.1
				c0.2-0.6,0.4-1.1,0.4-1.5c0-0.4-0.1-0.5-0.5-0.5h-0.9v-0.5c0.6,0,1.2,0,1.8,0c0.6,0,1.2,0,1.8,0v0.5h-0.6c-0.5,0-0.9,0.7-1.1,1.4
				L152.3,27.3z"/>
			<path class="st0" d="M164.1,23.7c0,0.2,0,0.5,0,0.9c-1.2,0.2-2.3,0.2-3.6,0.2h-2.8c0,2.3,1.1,3.9,3.6,3.9c1,0,1.7-0.5,2.4-1
				l0.2,0.2l-0.4,0.6c-0.1,0.2-1.8,1.1-3.2,1.1c-2.9,0-4.5-1.8-4.5-4.5c0-2,0.5-3.1,1.5-3.8c0.4-0.2,0.7-0.6,1.2-0.7
				c0.7-0.4,1.2-0.5,2-0.5C162.5,20.1,164.1,21.5,164.1,23.7z M157.6,23.8V24c0.9,0.1,1.7,0.1,2.4,0.1s1.5,0,2.2,0
				c0-1.8-0.6-3.3-2.1-3.3C158.8,20.7,157.6,21.8,157.6,23.8z"/>
			<path class="st0" d="M166.3,22.9c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1v2l0,0
				l1.1-1.2c0.5-0.6,1.1-0.9,1.6-0.9c0.4,0,0.7,0.1,0.9,0.2l-0.1,2.3h-0.4c-0.2-0.5-0.6-0.9-1.4-0.9c-0.9,0-1.7,0.9-1.7,2.2v3.4
				c0,0.5,0,1,0.1,1.1c0.1,0.1,0.4,0.2,0.9,0.2h1v0.6c-1,0-1.8,0-2.8,0c-1,0-1.7,0-2.4,0v-0.6h0.9c0.4,0,0.5-0.1,0.6-0.2
				c0.1-0.2,0.1-0.6,0.1-1.1L166.3,22.9L166.3,22.9L166.3,22.9L166.3,22.9z"/>
			<path class="st0" d="M173,26.5v0.9c0,1.2,1.4,1.7,2.6,1.7c1.2,0,2.3-0.7,2.3-1.8c0-0.6-0.4-1.1-1-1.3c-0.9-0.2-2-0.5-2.9-0.7
				c-1-0.4-1.7-1-1.7-2.1c0-2.1,1.8-2.8,3.7-2.8c1,0,1.7,0.2,2.6,0.5c0,0.7-0.1,1.5-0.1,2.2h-0.5v-0.5c0-1-1.1-1.6-2.3-1.6
				c-1.7,0-2,1-2,1.6c0,0.9,0.6,1.4,2.1,1.6c2.3,0.4,3.4,1,3.4,2.4c0,2.2-2.2,3.3-4.3,3.3c-1,0-1.8-0.1-2.7-0.5
				c0.2-0.9,0.2-1.8,0.2-2.7h0.6L173,26.5L173,26.5L173,26.5L173,26.5z"/>
			<path class="st0" d="M183.2,27.3c0,0.5,0,1,0.1,1.1c0.1,0.1,0.2,0.2,0.6,0.2h0.9v0.6c-0.7,0-1.5,0-2.4,0c-1,0-1.7,0-2.4,0v-0.6
				h0.9c0.4,0,0.5-0.1,0.6-0.2c0.1-0.2,0.1-0.6,0.1-1.1v-4.4c0-0.6,0-1.1-0.1-1.2c-0.1-0.1-0.4-0.2-0.7-0.2h-0.7v-0.5
				c1.1-0.1,2.3-0.5,3.1-0.9l0.1,0.1L183.2,27.3L183.2,27.3L183.2,27.3L183.2,27.3z M183.4,16.9c0,0.6-0.5,1.1-1.1,1.1
				c-0.6,0-1.1-0.5-1.1-1.1s0.5-1.1,1.1-1.1C182.8,15.8,183.4,16.3,183.4,16.9z"/>
			<path class="st0" d="M184.5,22v-0.4l1.5-0.7v-1.3c0-0.5,0-1-0.1-1.6c0.7-0.2,1.4-0.5,1.7-0.7l0.2,0.2c-0.1,0.9-0.2,2-0.2,2.8V21
				l2.7-0.1l-0.1,1.1h-2.4v5.2c0,0.9,0.2,1.4,1.1,1.4c0.5,0,0.9-0.2,1.1-0.4l0.2,0.4l-1,1c-0.1,0.2-0.9,0.2-1.2,0.2
				c-1,0-2-0.5-2-2.1v-5.7L184.5,22z"/>
			<path class="st0" d="M198.3,22c0.1-0.2,0.1-0.4,0.1-0.5c0-0.4-0.2-0.5-0.9-0.5H197v-0.5c0.6,0,1.2,0,1.8,0c0.6,0,1.2,0,1.8,0V21
				h-0.5c-0.5,0-0.9,0.6-1.6,2.3l-3.9,9.2c-0.6,1.5-1.3,2.4-2.9,2.4c-0.4,0-0.7-0.1-1-0.2l0.5-1.5h0.2c0.2,0.2,0.7,0.5,1,0.5l0,0
				c1.1-0.1,1.7-1.7,2.1-2.6l0.5-1.2l-3.2-8c-0.4-0.7-0.6-1-1-1h-0.4v-0.5c0.7,0,1.5,0,2.3,0c0.7,0,1.5,0,2.3,0V21h-0.7
				c-0.4,0-0.6,0.1-0.6,0.5c0,0.2,0,0.5,0.1,0.7l2.2,5.4L198.3,22z"/>
		</g>
	</g>
</g>
</svg>
 400w" sizes=400w>
<source srcset="data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 19.2.1, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
<svg version="1.1" id="Layer_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
	 viewBox="0 0 120 120" style="enable-background:new 0 0 120 120;" xml:space="preserve">
<g>
	<path d="M45.9,91.7c6.8,5.3,13.5,8.2,13.8,8.3l0.5,0.2l0.5-0.2c0.3-0.1,6.9-3,13.7-8.3c9.1-7.1,13.9-15.2,13.9-23.5l0-37.6l-56.4,0
		l0,37C31.9,76.1,36.7,84.5,45.9,91.7z M58.8,80.1c-0.3-0.1-0.6-0.2-1-0.2c0,0,0,0-0.1,0c-1.4,0-2.4,0.1-3.5,0.2
		c-1.1,0.1-2.2,0.2-3.8,0.2c-0.7,0-1.4,0-1.9,0V62.7c0.1,0,0.2,0,0.2,0c0.7,0,1.5,0,2.6,0c0.9,0,1.9-0.1,3-0.2
		c0.6-0.1,1.3-0.1,2-0.2c1.2-0.1,2.2,0.1,2.2,0.1c0.1,0,0.2,0.1,0.3,0.1C58.8,62.4,58.8,80.1,58.8,80.1z M85.6,68.2
		c0,15.4-18.9,25.8-24.5,28.6v-14c0.1-0.1,0.2-0.2,0.3-0.3c0.3-0.3,0.5-0.5,1-0.5c1.3,0,2.3,0.1,3.4,0.2c1.1,0.1,2.2,0.2,3.9,0.2
		c1.7,0,3,0,3,0l0.9,0l0-5.2h2.2v-2.8h-2.2l0-5.1h2.2v-2.8h-2.2l0-5.7l-1,0c-0.4,0-0.8,0-1.3,0c-0.7,0-1.5,0-2.5,0
		c-0.8,0-1.7-0.1-2.8-0.2c-0.6-0.1-1.3-0.1-2-0.2c-1.5-0.2-2.8,0.1-2.9,0.1c0,0,0,0-0.1,0V55h24.5L85.6,68.2z M61.1,80.2V62.5
		c0.1-0.1,0.3-0.1,0.5-0.2c0,0,1.1-0.2,2.3-0.1c0.7,0.1,1.4,0.1,2,0.2c1.1,0.1,2.1,0.2,3,0.2c0.9,0,1.6,0,2.3,0c0.2,0,0.4,0,0.5,0
		l0,17.7c-0.5,0-1.2,0-1.9,0c-1.6,0-2.7-0.1-3.8-0.2c-1.1-0.1-2.1-0.2-3.5-0.2C61.9,80,61.5,80.1,61.1,80.2z M34.6,33.3l51,0l0,19.1
		h-51L34.6,33.3z M34.6,55h24.3v5.3c-0.4-0.1-1.5-0.2-2.7-0.1c-0.7,0.1-1.4,0.1-2,0.2c-1.1,0.1-2,0.2-2.8,0.2c-1,0-1.8,0-2.5,0
		c-0.5,0-0.9,0-1.3,0l-1,0v5.1h-2.4v2.8h2.4v5.1h-2.4v2.8h2.4v5.7l0.9,0c0.1,0,1.4,0.1,3,0c1.7,0,2.9-0.1,3.9-0.2
		c1.1-0.1,2-0.2,3.3-0.2c0.5,0,0.7,0.2,0.9,0.5c0,0,0.1,0.1,0.1,0.1v14.1C53,93.8,34.6,83.5,34.6,67.6L34.6,55z"/>
	<path d="M55.9,35.2H41.6v1c0,3.1,0,8.4,0,8.6c0.1,1.1,0.8,2.1,2.2,3c1.7,1.2,4.3,2.7,4.4,2.7l0.5,0.3l0.5-0.3
		c0.1-0.1,2.9-1.6,4.6-2.7c2-1.3,2.1-2.6,2.1-3c0-0.2,0-4.8,0-8.6V35.2z M43.6,37.2h10.2c0,0.8,0,1.7,0,2.6H43.6
		C43.6,38.9,43.6,38,43.6,37.2z M53.9,44.7c0,0.5-0.7,1-1.2,1.4c-1.2,0.8-3.1,1.9-4,2.4c-0.8-0.5-2.6-1.5-3.8-2.4
		c-0.8-0.5-1.3-1.1-1.3-1.5c0-0.1,0-1.3,0-2.9h10.2C53.9,43.3,53.9,44.5,53.9,44.7z"/>
	<path d="M80.1,34.8H65.6v1c0,3.9,0,8.6,0,8.9c0.1,1.1,0.8,2.1,2.2,3c1.8,1.2,4.4,2.7,4.5,2.8l0.5,0.3l0.5-0.3
		c0.1-0.1,3-1.6,4.7-2.8c2.1-1.4,2.1-2.6,2.1-3c0-0.2,0-4.9,0-8.8L80.1,34.8z M78.1,44.5c0,0.5-0.7,1.1-1.2,1.4
		c-1.3,0.8-3.2,1.9-4.1,2.4c-0.9-0.5-2.6-1.6-3.9-2.4c-0.4-0.3-1.3-0.9-1.3-1.5c0-0.1,0-0.2,0-0.5l5-3.6l5.5,3.7
		C78.1,44.3,78.1,44.5,78.1,44.5z M72.6,37.8l-5,3.6c0-1.4,0-3.2,0-4.7h10.6c0,1.6,0,3.3,0,4.8L72.6,37.8z"/>
	<path d="M63.7,66.5l1,0.1c0.6,0.1,1.2,0.1,1.7,0.1l2.9,0.1l0-2l-2.9-0.1c-0.4,0-0.9-0.1-1.5-0.1l-1-0.1c-0.3,0-0.5,0-0.7,0l0.1,2
		C63.4,66.4,63.6,66.4,63.7,66.5z"/>
	<path d="M66.4,70.2c-0.4,0-0.9-0.1-1.5-0.1c-0.3,0-0.7-0.1-1-0.1c-0.3,0-0.5,0-0.7,0l0,2c0.1,0,0.3,0,0.5,0c0.4,0,0.7,0.1,1,0.1
		c0.6,0.1,1.1,0.1,1.6,0.1c0.6,0,1.5,0,2.2,0l0.8,0l0-2l-0.8,0C67.9,70.3,67,70.2,66.4,70.2z"/>
	<path d="M66.4,75.8c-0.4,0-0.9-0.1-1.5-0.1c-0.3,0-0.7-0.1-1-0.1c-0.3,0-0.5,0-0.7,0l0.1,2c0.1,0,0.3,0,0.5,0c0.4,0,0.7,0.1,1,0.1
		c0.6,0.1,1.2,0.1,1.6,0.1l0.8,0c0.8,0,1.8,0,2.1,0.1l0-2c-0.3,0-1.3,0-2.1-0.1L66.4,75.8z"/>
	<path d="M53.8,66.7c0.5,0,1-0.1,1.7-0.1c0.3,0,0.6-0.1,1-0.1c0.2,0,0.3,0,0.5,0l0-2c-0.2,0-0.4,0-0.7,0c-0.4,0-0.7,0.1-1,0.1
		c-0.6,0.1-1.1,0.1-1.5,0.1l-2.9,0.1l0,2L53.8,66.7z"/>
	<path d="M55.3,70.1c-0.6,0.1-1.1,0.1-1.5,0.1l-2.9,0.1l0,2l2.9-0.1c0.5,0,1-0.1,1.7-0.1l0.9-0.1c0.2,0,0.3,0,0.4,0l0.1-2
		c-0.2,0-0.4,0-0.7,0L55.3,70.1z"/>
	<path d="M55.3,75.6c-0.6,0.1-1.1,0.1-1.6,0.1c-0.9,0-2.4,0.1-2.8,0.1l0,2c0.4,0,1.9-0.1,2.9-0.1c0.5,0,1-0.1,1.7-0.1l1-0.1
		c0.1,0,0.3,0,0.4,0l0-2c-0.2,0-0.4,0-0.7,0L55.3,75.6z"/>
	<path d="M9.3,60.3c2.5,0,4-1.6,4.2-4.4c0-0.5,0-1.2-0.1-1.9l0-0.2l-2.1,0l0.2,0.4c0.1,0.3,0.2,1,0.2,1.6c-0.1,1.4-1.2,2.3-2.7,2.2
		c-1.6-0.1-2.5-1.1-2.5-2.5c0-0.5,0.1-1,0.5-1.5l0.3-0.4l-2-0.3l-0.1,0.2c-0.3,0.6-0.4,1.3-0.5,1.9c-0.2,2.9,1.4,4.8,4.3,4.9
		C9.1,60.3,9.2,60.3,9.3,60.3z"/>
	<path d="M9.7,50.5c0.6,0.2,1.1,0.2,1.6,0.2c1.9,0,3.3-1.1,3.9-3c0.3-1.2,0.2-2.2-0.3-3.2c-0.6-1-1.6-1.7-2.9-2.1
		c-0.5-0.2-1.1-0.2-1.5-0.2c-1.9,0-3.3,1.1-3.9,3C5.8,47.7,7,49.7,9.7,50.5z M8.3,45.8c0.3-1.1,1.2-1.3,1.9-1.3
		c0.3,0,0.7,0.1,1.1,0.2c0.9,0.3,1.6,0.7,1.9,1.3c0.2,0.4,0.3,0.8,0.1,1.3c-0.3,1.1-1.2,1.3-1.9,1.3c-0.4,0-0.7-0.1-1.1-0.2
		C9.1,48,7.9,47.1,8.3,45.8z"/>
	<path d="M18.3,39.3l-2.9-1.6l0.1-0.2c0.3-0.5,0.5-0.5,0.9-0.4l2.9,0.4l1.1-2.1l-3.8-0.4c-0.3,0-0.5,0-0.7,0c0-0.8-0.4-1.6-1.2-2
		c-0.4-0.2-0.8-0.3-1.2-0.3c-1.4,0-2.1,1.4-2.8,2.7l-1,1.9l7.6,4.1L18.3,39.3z M13.8,36.6l-0.1,0.2l-1.4-0.7l0.1-0.2
		c0.3-0.6,0.7-1.2,1.3-0.9c0.2,0.1,0.3,0.2,0.4,0.4C14.2,35.8,14,36.3,13.8,36.6z"/>
	<polygon points="23,31.7 19.1,28.5 24.7,29.8 26.2,27.9 19.6,22.4 18.2,24 22.2,27.3 16.6,26 15,27.9 21.7,33.4 	"/>
	<polygon points="32.7,22.4 31.5,21 29.1,22.9 28,21.6 30.2,19.8 29,18.4 26.8,20.2 26,19.1 28.4,17.2 27.2,15.7 23.1,19 28.5,25.7 
			"/>
	<polygon points="39.8,18.1 38.9,16.5 36.2,18 32.9,12.1 31,13.2 35.2,20.7 	"/>
	<polygon points="47.1,15.3 46.4,13.6 43.6,14.6 41.3,8.3 39.2,9 42.1,17.1 	"/>
	<path d="M55.8,13.9c0.2,0,0.3,0,0.5,0c1.2-0.1,2.1-0.5,2.6-1.1c0.5-0.6,0.7-1.5,0.6-2.5l-0.4-5.4L56.9,5l0.4,4.9
		c0.1,1.7-0.6,2-1.2,2.1c-0.1,0-0.1,0-0.2,0c-0.5,0-1.2-0.2-1.4-1.9l-0.4-4.9l-2.2,0.2l0.4,5.4C52.7,12.8,53.8,13.9,55.8,13.9z"/>
	<polygon points="65.7,8.8 67.5,14.1 70,14.5 71.1,5.9 69,5.6 68.3,10.7 66.5,5.3 64.1,5 62.9,13.5 65,13.8 	"/>
	<polygon points="77.6,7.8 75.5,7.1 72.9,15.3 75,16 	"/>
	<polygon points="88.4,12.6 86.5,11.6 82.3,15.9 83.2,10 81.1,8.9 79.8,18 82,19 	"/>
	<polygon points="90.6,25 91.7,23.5 89.3,21.6 90.3,20.3 92.5,22 93.7,20.5 91.5,18.8 92.3,17.7 94.7,19.6 95.9,18.1 91.7,14.9 
		86.4,21.7 	"/>
	<path d="M94.2,28.6l2.5-2.2l0.1,0.2c0.3,0.4,0.3,0.5,0.1,1l-1.4,2.6l1.6,1.8l1.7-3.4c0.1-0.1,0.2-0.4,0.2-0.7
		c0.7,0.3,1.6,0.2,2.3-0.4c1.9-1.6,0.4-3.3-0.7-4.6l-1.4-1.6L92.7,27L94.2,28.6z M99.3,24.1l0.1,0.2c0.3,0.4,0.6,0.8,0.6,1.1
		c0,0.2-0.1,0.3-0.3,0.4C99.6,26,99.4,26,99.3,26c-0.4,0-0.8-0.4-1-0.7l-0.1-0.2L99.3,24.1z"/>
	<path d="M102.2,35.5c-0.4,0.3-1-0.2-1.2-0.6c-0.3-0.5-0.4-1-0.4-1.7l0-0.5l-2,0.9l0.1,0.4c0.2,0.7,0.3,1.1,0.7,1.8
		c0.7,1.2,1.6,1.8,2.6,1.8c0.5,0,0.9-0.1,1.4-0.4c1.5-0.9,1.3-2.3,1.1-3.4c-0.1-0.7-0.2-1.2,0.1-1.4c0.2-0.1,0.3-0.1,0.4-0.1
		c0.4,0,0.7,0.4,0.8,0.5c0.3,0.4,0.4,0.9,0.5,1.4l0.1,0.4l1.8-0.8l0-0.2c-0.1-0.6-0.4-1.2-0.8-1.9c-0.9-1.6-2.5-2.1-3.9-1.2
		c-1.5,0.9-1.3,2.3-1.1,3.3C102.5,34.8,102.6,35.3,102.2,35.5z"/>
	<rect x="102.5" y="39.6" transform="matrix(0.9259 -0.3777 0.3777 0.9259 -7.4559 43.3568)" width="8.6" height="2.2"/>
	<polygon points="111.2,46.2 104.7,47.8 105.2,49.9 111.8,48.3 112.3,50.5 114.1,50.1 112.5,43.5 110.7,44 	"/>
	<polygon points="106.2,56.6 106.3,58.8 109.7,58.6 115.1,61.4 115,59 111.8,57.5 114.8,55.6 114.6,53 109.6,56.5 	"/>
	<polygon points="11,76.4 12.8,75.9 12.1,73.3 13.4,72.9 14.2,75.7 16,75.1 14.6,70.3 6.3,72.7 6.9,74.8 10.3,73.8 	"/>
	<path d="M18.7,83.6c0.3-1,0.2-2.1-0.3-3.2c-0.8-1.6-2-2.4-3.6-2.4c-0.7,0-1.5,0.2-2.3,0.6c-1.3,0.6-2.1,1.5-2.5,2.6
		c-0.3,1-0.2,2.1,0.3,3.2c0.8,1.5,2,2.4,3.6,2.4c0.7,0,1.5-0.2,2.3-0.6C17.5,85.5,18.4,84.7,18.7,83.6z M15.3,84.1
		c-0.5,0.3-1.1,0.4-1.6,0.4c-0.8,0-1.3-0.3-1.6-1c-0.2-0.5-0.3-0.9-0.1-1.3c0.2-0.6,0.8-1.2,1.6-1.6c0.5-0.2,1-0.4,1.5-0.4
		c0.8,0,1.3,0.3,1.6,1c0.2,0.5,0.3,0.9,0.1,1.3C16.6,83.1,16.1,83.7,15.3,84.1z"/>
	<path d="M24.7,90.3l-3.9,3.1c-1,0.8-1.8,0.9-2.4,0.2c-0.2-0.3-0.3-0.6-0.3-0.9c0.1-0.4,0.4-0.9,1-1.4l3.9-3.1l-1.4-1.7l-4.3,3.4
		c-0.9,0.7-1.4,1.5-1.4,2.4c0,0.8,0.3,1.6,1,2.5c0.8,1.1,1.7,1.6,2.7,1.6c0.7,0,1.4-0.3,2.1-0.9L26,92L24.7,90.3z"/>
	<polygon points="32,97.3 28.8,101.3 30,95.7 28.1,94.1 22.6,100.8 24.3,102.2 27.5,98.2 26.3,103.8 28.2,105.4 33.7,98.7 	"/>
	<path d="M38.4,101.4l-2.2-1.1l-3.9,7.7l2.2,1.1c1.1,0.5,2,0.8,2.9,0.8c1.5,0,2.7-0.8,3.5-2.4C42.2,104.9,41.3,102.9,38.4,101.4z
		 M38.8,106.5c-0.4,0.9-1.2,1.4-2.1,1.4c-0.4,0-0.7-0.1-1.1-0.3l-0.5-0.3l2.2-4.4l0.5,0.3c0.6,0.3,1,0.8,1.2,1.3
		C39.2,105.2,39.1,105.8,38.8,106.5z"/>
	<polygon points="43.2,112.8 48.3,114.2 48.8,112.4 45.8,111.6 46.2,110 49,110.7 49.5,108.9 46.7,108.2 47,106.8 50.1,107.6 
		50.5,105.8 45.4,104.5 	"/>
	<path d="M55.9,106.5l-2.5-0.1l-0.5,8.6l2.5,0.1c0.2,0,0.4,0,0.6,0c2.9,0,4.4-1.4,4.6-4.1c0.1-1.3-0.2-2.4-0.9-3.2
		C58.9,107.1,57.7,106.6,55.9,106.5z M55.8,113.3l-0.6,0l0.3-4.9l0.6,0c1.2,0.1,2.3,1,2.2,2.6C58.2,112.6,57,113.3,55.8,113.3z"/>
	<path d="M68.2,105.8l-1.5,9.1l2.3-0.5l0.3-1.9l2.8-0.6l1.1,1.7l2.4-0.5l-5.1-7.7L68.2,105.8z M69.6,110.6l0.3-2.3l1.2,1.9
		L69.6,110.6z"/>
	<polygon points="76.4,110.3 77.2,112.4 79.2,111.6 78.5,109.6 	"/>
	<path d="M80.6,101.6l-2.2,1.2l4.1,7.6l2.2-1.2c2.9-1.6,3.6-3.6,2.3-6.1C85.7,100.5,83.5,100,80.6,101.6z M84.1,107.4l-0.5,0.3
		l-2.3-4.3l0.5-0.3c0.3-0.2,0.7-0.3,1.1-0.3c0.9,0,1.6,0.5,2.1,1.3C85.8,105.5,85.1,106.8,84.1,107.4z"/>
	<polygon points="88.7,104.3 89.9,106.1 91.7,104.8 90.5,103 	"/>
	<polygon points="92.1,93.2 91.7,96.6 93.6,96.9 93.8,95.5 97.9,99.6 99.5,98.1 93.4,91.9 	"/>
	<path d="M103.8,88.7c-0.7-0.5-1.5-0.6-2.4-0.3c0-0.8-0.4-1.6-1-2c-1.1-0.8-2.5-0.3-3.6,1.1c-1,1.4-0.9,2.8,0.3,3.7
		c0.6,0.4,1.4,0.5,2.1,0.3c-0.1,0.9,0.2,1.6,0.9,2.1c0.5,0.4,1,0.5,1.5,0.5c0.9,0,1.7-0.5,2.5-1.5c0.6-0.8,0.9-1.6,0.8-2.4
		C104.8,89.7,104.4,89.2,103.8,88.7z M99.7,89.3c-0.3,0.2-0.6,0.4-0.9,0.4c-0.1,0-0.3,0-0.4-0.1c-0.4-0.3-0.2-0.8,0-1.1
		c0.1-0.2,0.3-0.3,0.5-0.3c0.1,0,0.3,0.1,0.5,0.2C99.7,88.6,99.8,89,99.7,89.3z M102.7,91.7c-0.3,0.4-0.8,0.5-1.2,0.2
		c-0.3-0.3-0.5-0.6-0.4-1.2c0.6-0.4,1.1-0.5,1.5-0.2c0.2,0.1,0.3,0.3,0.3,0.5C102.9,91.2,102.8,91.5,102.7,91.7z"/>
	<path d="M107.7,80.3c-1.5-0.7-2.9-0.3-3.6,1.1c-0.2,0.4-0.3,0.8-0.2,1.2c-0.5-0.4-1-1.1-0.6-2c0.2-0.4,0.5-0.7,0.8-1l0.3-0.2
		l-1.6-1.1l-0.2,0.2c-0.4,0.4-0.8,0.9-1.1,1.5c-0.4,0.9-0.5,1.7-0.2,2.5c0.5,1.4,1.9,2.4,3,2.9c1,0.5,1.8,0.7,2.5,0.7
		c1.1,0,1.9-0.5,2.5-1.6C110.1,82.7,109.5,81.2,107.7,80.3z M107.7,83.5c-0.1,0.3-0.4,0.4-0.7,0.4c-0.2,0-0.5-0.1-0.7-0.2
		c-0.4-0.2-0.7-0.5-0.8-0.7c-0.1-0.2,0-0.3,0-0.5c0.1-0.3,0.3-0.4,0.7-0.4c0.2,0,0.5,0.1,0.8,0.2c0.4,0.2,0.6,0.4,0.7,0.7
		C107.8,83.2,107.7,83.4,107.7,83.5z"/>
	<path d="M110.8,71.5c-1.7-0.5-3.1,0.3-3.6,1.9c0,0.2-0.1,0.3-0.1,0.4l-1-0.3l0.9-3l-1.7-0.5l-1.5,5l4.8,1.5l0-0.4
		c0-0.5,0.1-0.9,0.2-1.4c0.1-0.4,0.6-1.4,1.5-1.2c1,0.3,0.8,1.4,0.7,1.7c-0.2,0.6-0.5,1-0.8,1.4l-0.3,0.3l2,0.7l0.1-0.2
		c0.3-0.6,0.6-1.3,0.8-1.8c0.3-1,0.3-1.9-0.1-2.7C112.3,72.3,111.6,71.8,110.8,71.5z"/>
	<path d="M16.3,60c0,24,19.5,43.6,43.5,43.6c24,0,43.5-19.5,43.5-43.6c0-24-19.5-43.5-43.5-43.5C35.9,16.4,16.3,36,16.3,60z
		 M59.9,17.9c23.2,0,42,18.9,42,42c0,23.2-18.9,42-42,42c-23.2,0-42-18.9-42-42C17.8,36.8,36.7,17.9,59.9,17.9z"/>
	<path d="M59.9,0.4C27,0.4,0.3,27.1,0.3,60c0,32.8,26.7,59.6,59.6,59.6c32.8,0,59.6-26.7,59.6-59.6C119.4,27.1,92.7,0.4,59.9,0.4z
		 M59.9,118c-32,0-58-26-58-58c0-32,26-58,58-58c32,0,58,26,58,58C117.9,92,91.9,118,59.9,118z"/>
</g>
</svg>
 2x">
</picture>
</a></div>
</div>
</div>
</header>
<main>
<div id=content>
<div id=abs-outer>
<div class=leftcolumn>
<div class=subheader>
<h1>Physics &gt; General Physics</h1>
</div>
<div class="header-breadcrumbs-mobile sf-hidden">
(physics)
</div>
<style>#abs{font-family:"Lucida Grande",Helvetica,Arial,sans-serif!important}#abs h1.title{display:block;font-size:1.8em!important;font-weight:700;margin-block-end:12px;margin-block-start:12px;margin-bottom:12px;margin-inline-end:0px;margin-inline-start:20px;margin-left:20px;margin-right:0px;margin-top:12px}#abs div.authors{font-size:1.2em;line-height:24px;margin-bottom:8px;margin-left:20px;margin-right:0px;margin-top:8px}#abs div.dateline{font-size:0.9em;font-style:italic;margin-bottom:6.5px;margin-left:20px;margin-right:0px;margin-top:6.5px}#abs blockquote.abstract{font-size:1.05em;margin-block-end:21.6px;margin-block-start:14.4px;margin-bottom:21.6px;margin-inline-end:40px;margin-inline-start:40px;background-color:white;border-left:0px;padding:0px}#abs div.metatable{font-size:0.95em!important;margin-bottom:19px;margin-left:20px;margin-right:0px;margin-top:0px;border:0px;padding:0px}#abs div.metatable tbody{vertical-align:middle}#abs tr{margin-top:0px;margin-bottom:0px}#abs td.tablecell{padding-top:0px;padding-bottom:0px;padding-right:6.5px;padding-left:0px;vertical-align:top;font-size:0.95em!important;margin-top:0px;margin-bottom:0px;border:0px}#abs td.tablecell.label{font-weight:400!important}#abs span.primary-subject{font-weight:700}#abs span.arxivid{font-weight:700}</style>
<div id=content-inner>
<div id=abs>
<div class=dateline>
[Submitted on 19 Feb 2024]</div>
<h1 class="title mathjax"><span class="descriptor sf-hidden">Title:</span>Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics</h1>
<div class=authors><span class="descriptor sf-hidden">Authors:</span><a href="https://arxiv.org/search/physics?searchtype=author&amp;query=Consoli,+M">Maurizio Consoli</a>, <a href="https://arxiv.org/search/physics?searchtype=author&amp;query=Pluchino,+A">Alessandro Pluchino</a></div> <div id=download-button-info class=sf-hidden hidden>View a PDF of the paper titled Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics, by Maurizio Consoli and 1 other authors</div>
<a class="mobile-submission-download sf-hidden" href=http://arxiv.org/pdf/2402.12421>View PDF</a>
<a class="mobile-submission-download sf-hidden" href=https://arxiv.org/html/2402.12421v1>HTML (experimental)</a>
<blockquote class="abstract mathjax">
<span class="descriptor sf-hidden">Abstract:</span>Quantum nonlocality would naturally fit into a version of relativity with a preferred reference system. However, acceptance of this idea has traditionally required experimental evidence. Namely, detecting in laboratory a small angular dependence of the velocity of light correlated to the cosmic motion of the Earth. Here, we summarize a new theoretical framework where the tiny, irregular residuals observed so far, from Michelson-Morley to current experiments of laser interferometry, can indeed be understood in terms of the Earth motion in the Cosmic Microwave Background observed directly with satellites in space. Our results, challenging the usual null interpretation, emphasize the central role of 'ether-drift' experiments for Relativity, Cosmology and Quantum Physics.
</blockquote>
<div class=metatable>
<table summary="Additional metadata"> <tbody><tr>
<td class="tablecell label">Comments:</td>
<td class="tablecell comments mathjax">60 pages, 25 figures and 3 tables</td>
</tr>
<tr>
<td class="tablecell label">Subjects:</td>
<td class="tablecell subjects">
<span class=primary-subject>General Physics (physics.gen-ph)</span></td>
<tr>
<td class="tablecell label">Cite as:</td>
<td class="tablecell arxivid"><span class=arxivid><a href=https://arxiv.org/abs/2402.12421>arXiv:2402.12421</a> [physics.gen-ph]</span></td>
</tr>
<tr>
<td class="tablecell label">&nbsp;</td>
<td class="tablecell arxividv">(or <span class=arxivid>
<a href=https://arxiv.org/abs/2402.12421v1>arXiv:2402.12421v1</a> [physics.gen-ph]</span> for this version)
</td>
</tr> <tr>
<td class="tablecell label">&nbsp;</td>
<td class="tablecell arxivdoi">
<a href=https://doi.org/10.48550/arXiv.2402.12421>https://doi.org/10.48550/arXiv.2402.12421</a>
<div class=button-and-tooltip>
<button class=more-info aria-describedby=more-info-desc-1>
<svg height=15 role=presentation xmlns=http://www.w3.org/2000/svg viewBox="0 0 512 512"><path fill=currentColor d="M256 8C119.043 8 8 119.083 8 256c0 136.997 111.043 248 248 248s248-111.003 248-248C504 119.083 392.957 8 256 8zm0 110c23.196 0 42 18.804 42 42s-18.804 42-42 42-42-18.804-42-42 18.804-42 42-42zm56 254c0 6.627-5.373 12-12 12h-88c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h12v-64h-12c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h64c6.627 0 12 5.373 12 12v100h12c6.627 0 12 5.373 12 12v24z"></path></svg>
<span class=visually-hidden>Focus to learn more</span>
</button>
<div role=tooltip id=more-info-desc-1 class=sf-hidden>
arXiv-issued DOI via DataCite
</div>
</div>
</td>
</tr> <tr>
<td class="tablecell label">Journal&nbsp;reference:</td>
<td class="tablecell jref">International Journal of Modern Physics A, February 2024</td>
</tr>
<tr>
<td class="tablecell label">
<abbr title="Digital Object Identifier">Related DOI</abbr>:
</td>
<td class="tablecell doi"><a href=https://doi.org/10.1142/S0217751X2330017X data-doi=10.1142/S0217751X2330017X class="link-https link-external" rel="external noopener nofollow">https://doi.org/10.1142/S0217751X2330017X</a>
<div class=button-and-tooltip>
<button class=more-info aria-describedby=more-info-desc-1>
<svg height=15 role=presentation xmlns=http://www.w3.org/2000/svg viewBox="0 0 512 512"><path fill=currentColor d="M256 8C119.043 8 8 119.083 8 256c0 136.997 111.043 248 248 248s248-111.003 248-248C504 119.083 392.957 8 256 8zm0 110c23.196 0 42 18.804 42 42s-18.804 42-42 42-42-18.804-42-42 18.804-42 42-42zm56 254c0 6.627-5.373 12-12 12h-88c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h12v-64h-12c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h64c6.627 0 12 5.373 12 12v100h12c6.627 0 12 5.373 12 12v24z"></path></svg>
<span class=visually-hidden>Focus to learn more</span>
</button>
<div role=tooltip id=more-info-desc-1 class=sf-hidden>
DOI(s) linking to related resources
</div>
</div>
</td>
</tr>
</table>
</div>
</div>
</div>
<div class=submission-history>
<h2>Submission history</h2> From: Alessandro Pluchino [<a href=http://arxiv.org/show-email/f340c180/2402.12421>view email</a>] <br> <strong>[v1]</strong>
Mon, 19 Feb 2024 11:50:33 UTC (14,407 KB)<br>
</div>
</div>
<div class=extra-services> <div class=full-text>
<a name=other></a>
<span class="descriptor sf-hidden">Full-text links:</span>
<h2>Access Paper:</h2>
<ul>
<div id=download-button-info class=sf-hidden hidden>
View a PDF of the paper titled Michelson-Morley Experiments: at the crossroads of Relativity, Cosmology and Quantum Physics, by Maurizio Consoli and 1 other authors</div><li><a href=http://arxiv.org/pdf/2402.12421 aria-describedby=download-button-info accesskey=f class="abs-button download-pdf">View PDF</a><li><a href=https://arxiv.org/html/2402.12421v1 class=abs-button id=latexml-download-link>HTML (experimental)</a><li><a href=http://arxiv.org/src/2402.12421 class="abs-button download-eprint">TeX Source</a><li><a href=http://arxiv.org/format/2402.12421 class="abs-button download-format">Other Formats</a></ul>
<div class=abs-license><a href=http://arxiv.org/licenses/nonexclusive-distrib/1.0/ title="Rights to this article">view license</a></div>
</div>
<div class=browse>
Current browse context: <div class=current>physics.gen-ph</div>
<div class=prevnext>
<span class=arrow>
<a class="abs-button prev-url" href="http://arxiv.org/prevnext?id=2402.12421&amp;function=prev&amp;context=physics.gen-ph" accesskey=p title="previous in physics.gen-ph (accesskey p)">&lt;&nbsp;prev</a>
</span>
<span class=is-hidden-mobile>&nbsp; | &nbsp;</span> <span class=arrow>
<a class="abs-button next-url" href="http://arxiv.org/prevnext?id=2402.12421&amp;function=next&amp;context=physics.gen-ph" accesskey=n title="next in physics.gen-ph (accesskey n)">next&nbsp;&gt;</a>
</span><br>
</div><div class=list>
<a class="abs-button abs-button-grey abs-button-small context-new" href=http://arxiv.org/list/physics.gen-ph/new>new</a>
<span class=is-hidden-mobile> | </span>
<a class="abs-button abs-button-grey abs-button-small context-recent" href=http://arxiv.org/list/physics.gen-ph/recent>recent</a>
<span class=is-hidden-mobile> | </span><a class="abs-button abs-button-grey abs-button-small context-id" href=http://arxiv.org/list/physics.gen-ph/2024-02>2024-02</a>
</div><div class=abs-switch-cat>
Change to browse by:
<div class="switch context-change">
<a href="http://arxiv.org/abs/2402.12421?context=physics">physics</a><br class=is-hidden-mobile>
</div>
</div>
</div>
<div class=extra-ref-cite>
<h3>References &amp; Citations</h3>
<ul>
<li><a class="abs-button abs-button-small cite-ads" href=https://ui.adsabs.harvard.edu/abs/arXiv:2402.12421>NASA ADS</a><li><a class="abs-button abs-button-small cite-google-scholar" href="https://scholar.google.com/scholar_lookup?arxiv_id=2402.12421" target=_blank rel=noopener>Google Scholar</a></li>
<li><a class="abs-button abs-button-small cite-semantic-scholar" href=https://api.semanticscholar.org/arXiv:2402.12421 target=_blank rel=noopener>Semantic Scholar</a></li>
</ul>
<div style=clear:both></div>
</div>
<div class=extra-ref-cite>
<a id=bib-cite-css href=http://arxiv.org/static/browse/0.3.4/css/cite.css class=sf-hidden hidden>a</a>
<span id=bib-cite-trigger class="bib-cite-button abs-button">export BibTeX citation</span>
<span id=bib-cite-loading class=sf-hidden hidden>Loading...</span>
</div>
<div id=bib-cite-modal class="bib-modal sf-hidden" hidden>
</div><div class=bookmarks>
<div><h3>Bookmark</h3></div><a class="abs-button abs-button-grey abs-button-small" href="http://www.bibsonomy.org/BibtexHandler?requTask=upload&amp;url=https://arxiv.org/abs/2402.12421&amp;description=Michelson-Morley%20Experiments:%20at%20the%20crossroads%20of%20Relativity,%20Cosmology%20and%20Quantum%20Physics" title="Bookmark on BibSonomy">
<img src=data:image/png;base64,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 alt="BibSonomy logo">
</a>
<a class="abs-button abs-button-grey abs-button-small" href="https://reddit.com/submit?url=https://arxiv.org/abs/2402.12421&amp;title=Michelson-Morley%20Experiments:%20at%20the%20crossroads%20of%20Relativity,%20Cosmology%20and%20Quantum%20Physics" title="Bookmark on Reddit">
<img src="data:image/png;base64,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" alt="Reddit logo">
</a>
</div> </div>
<div id=labstabs>
<div class=labstabs><input name=tabs id=tabone checked class=sf-hidden type=radio>
<label for=tabone>Bibliographic Tools</label>
<div class="tab labs-display-bib">
<h1>Bibliographic and Citation Tools</h1>
<div class=toggle>
<div class="columns is-mobile lab-row">
<div class="column lab-switch">
<label class=switch>
<input id=bibex-toggle class="lab-toggle sf-hidden" type=checkbox>
<span class=slider></span>
<span class=is-sr-only>Bibliographic Explorer Toggle</span>
</label>
</div>
<div class="column lab-name">
<span id=label-for-bibex>Bibliographic Explorer</span> <em>(<a href=https://info.arxiv.org/labs/showcase.html#arxiv-bibliographic-explorer>What is the Explorer?</a>)</em>
</div>
</div>
<div class="columns is-mobile lab-row">
<div class="column lab-switch">
<label class=switch>
<input id=litmaps-toggle class="lab-toggle sf-hidden" data-script-url=/static/browse/0.3.4/js/litmaps.js?20210617 aria-labelledby=label-for-litmaps type=checkbox>
<span class=slider></span>
<span class=is-sr-only>Litmaps Toggle</span>
</label>
</div>
<div class="column lab-name">
<span id=label-for-litmaps>Litmaps</span> <em>(<a href=https://www.litmaps.co/ target=_blank>What is Litmaps?</a>)</em>
</div>
</div>
<div class="columns is-mobile lab-row">
<div class="column lab-switch">
<label class=switch>
<input id=scite-toggle class="lab-toggle sf-hidden" data-script-url=/static/browse/0.3.4/js/scite.js?20210617 aria-labelledby=label-for-scite type=checkbox>
<span class=slider></span>
<span class=is-sr-only>scite.ai Toggle</span>
</label>
</div>
<div class="column lab-name">
<span id=label-for-scite>scite Smart Citations</span> <em>(<a href=https://www.scite.ai/ target=_blank>What are Smart Citations?</a>)</em>
</div>
</div>
</div>
<div class="labs-content-placeholder labs-display" style=display:none></div>
<div style=min-height:15px id=litmaps-open-in></div>
<div style=min-height:15px id=scite-open-in></div>
</div>
<input name=tabs id=tabtwo class=sf-hidden type=radio>
<label for=tabtwo>Code, Data, Media</label>
<div class="tab sf-hidden">
</div>
<input name=tabs id=labstabs-demos-input class=sf-hidden type=radio>
<label for=labstabs-demos-input id=labstabs-demos-label>Demos</label>
<div class="tab sf-hidden">
</div>
<input name=tabs id=tabfour class=sf-hidden type=radio>
<label for=tabfour>Related Papers</label>
<div class="tab sf-hidden">
</div>
<input name=tabs id=tabfive class=sf-hidden type=radio>
<label for=tabfive>
About arXivLabs
</label>
<div class="tab sf-hidden">
</div>
</div>
</div>
<div class=endorsers>
<a href=http://arxiv.org/auth/show-endorsers/2402.12421 class=endorser-who>Which authors of this paper are endorsers?</a> |
<a id=mathjax_toggle>Disable MathJax</a> (<a href=https://info.arxiv.org/help/mathjax.html>What is MathJax?</a>)
<span class=help style=font-style:normal;float:right;margin-top:0;margin-right:1em></span>
</div>
</div>
</div>
</main>
<footer style=clear:both>
<div class="columns is-desktop" role=navigation aria-label=Secondary style="margin:-0.75em -0.75em 0.75em -0.75em">
<div class=column style=padding:0>
<div class=columns>
<div class=column>
<ul style=list-style:none;line-height:2>
<li><a href=https://info.arxiv.org/about>About</a></li>
<li><a href=https://info.arxiv.org/help>Help</a></li>
</ul>
</div>
<div class=column>
<ul style=list-style:none;line-height:2>
<li>
<svg xmlns=http://www.w3.org/2000/svg viewBox="0 0 512 512" class="icon filter-black" role=presentation><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"></path></svg>
<a href=https://info.arxiv.org/help/contact.html> Contact</a>
</li>
<li>
<svg xmlns=http://www.w3.org/2000/svg viewBox="0 0 512 512" class="icon filter-black" role=presentation><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"></path></svg>
<a href=https://info.arxiv.org/help/subscribe> Subscribe</a>
</li>
</ul>
</div>
</div>
</div>
<div class=column style=padding:0>
<div class=columns>
<div class=column>
<ul style=list-style:none;line-height:2>
<li><a href=https://info.arxiv.org/help/license/index.html>Copyright</a></li>
<li><a href=https://info.arxiv.org/help/policies/privacy_policy.html>Privacy Policy</a></li>
</ul>
</div>
<div class="column sorry-app-links">
<ul style=list-style:none;line-height:2>
<li><a href=https://info.arxiv.org/help/web_accessibility.html>Web Accessibility Assistance</a></li>
<li>
<p class=help>
<a class=a11y-main-link href=https://status.arxiv.org/ target=_blank>arXiv Operational Status <svg xmlns=http://www.w3.org/2000/svg viewBox="0 0 256 512" class="icon filter-dark_grey" role=presentation><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"></path></svg></a><br>
Get status notifications via
<a class=is-link href=https://subscribe.sorryapp.com/24846f03/email/new target=_blank><svg xmlns=http://www.w3.org/2000/svg viewBox="0 0 512 512" class="icon filter-black" role=presentation><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"></path></svg>email</a>
or <a class=is-link href=https://subscribe.sorryapp.com/24846f03/slack/new target=_blank><svg xmlns=http://www.w3.org/2000/svg viewBox="0 0 448 512" class="icon filter-black" role=presentation><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"></path></svg>slack</a>
</p>
</li>
</ul>
</div>
</div>
</div>
</div>
</footer>
</div>
Reference in New Issue View Git Blame Copy Permalink