{"id":2695,"date":"2023-01-11T16:40:36","date_gmt":"2023-01-11T07:40:36","guid":{"rendered":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/?post_type=seminar&#038;p=2695"},"modified":"2023-01-11T16:40:36","modified_gmt":"2023-01-11T07:40:36","slug":"singularity-theorem-and-non-singular-universe","status":"publish","type":"seminar","link":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/","title":{"rendered":"Singularity Theorem and Non-Singular Universe"},"content":{"rendered":"<p>The initial singularity of the Universe, which is predicted by the singularity theorem, is one of the big mystery in cosmology. I discuss an application of the black hole singularity theorem by Penrose to a<br \/>\nnon-singular universe. I found that, under some assumptions, the initial singularity of a universe can be avoidable only when there are compact time slices. In addition, it is found that there is an upper bound to the size of such a compact non-singular universe.<\/p>\n","protected":false},"featured_media":0,"template":"","tags":[],"seminar_category":[58],"acf":{"s_now_accepting":true,"s_date_order":"2023-01-18 17:30:00","s_date_end":null,"s_date_text":"","s_text":"Daisuke Yoshida (Department of Math, Nagoya University)","s_place":"Zoom only","s_place_other":"","s_categoryother":"","s_poster":"","s_poster2":"","s_slide":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Singularity Theorem and Non-Singular Universe - KMI - Nagoya University<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Singularity Theorem and Non-Singular Universe - KMI - Nagoya University\" \/>\n<meta property=\"og:description\" content=\"The initial singularity of the Universe, which is predicted by the singularity theorem, is one of the big mystery in cosmology. I discuss an application of the black hole singularity theorem by Penrose to a non-singular universe. I found that, under some assumptions, the initial singularity of a universe can be avoidable only when there are compact time slices. In addition, it is found that there is an upper bound to the size of such a compact non-singular universe.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/\" \/>\n<meta property=\"og:site_name\" content=\"KMI - Nagoya University\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/\",\"url\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/\",\"name\":\"Singularity Theorem and Non-Singular Universe - KMI - Nagoya University\",\"isPartOf\":{\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website\"},\"datePublished\":\"2023-01-11T07:40:36+00:00\",\"dateModified\":\"2023-01-11T07:40:36+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Seminars\",\"item\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Singularity Theorem and Non-Singular Universe\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website\",\"url\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/\",\"name\":\"KMI - Nagoya University\",\"description\":\"Nagoya University: Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI)\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Singularity Theorem and Non-Singular Universe - KMI - Nagoya University","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/","og_locale":"en_US","og_type":"article","og_title":"Singularity Theorem and Non-Singular Universe - KMI - Nagoya University","og_description":"The initial singularity of the Universe, which is predicted by the singularity theorem, is one of the big mystery in cosmology. I discuss an application of the black hole singularity theorem by Penrose to a non-singular universe. I found that, under some assumptions, the initial singularity of a universe can be avoidable only when there are compact time slices. In addition, it is found that there is an upper bound to the size of such a compact non-singular universe.","og_url":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/","og_site_name":"KMI - Nagoya University","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/","url":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/","name":"Singularity Theorem and Non-Singular Universe - KMI - Nagoya University","isPartOf":{"@id":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website"},"datePublished":"2023-01-11T07:40:36+00:00","dateModified":"2023-01-11T07:40:36+00:00","breadcrumb":{"@id":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/2695\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/"},{"@type":"ListItem","position":2,"name":"Seminars","item":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/seminar\/"},{"@type":"ListItem","position":3,"name":"Singularity Theorem and Non-Singular Universe"}]},{"@type":"WebSite","@id":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/#website","url":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/","name":"KMI - Nagoya University","description":"Nagoya University: Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI)","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/seminar\/2695"}],"collection":[{"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/types\/seminar"}],"wp:attachment":[{"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/media?parent=2695"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/tags?post=2695"},{"taxonomy":"seminar_category","embeddable":true,"href":"https:\/\/www.kmi.nagoya-u.ac.jp\/eng\/wp-json\/wp\/v2\/seminar_category?post=2695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}