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However, as Sabine noted, \u0026quot;certain types of singularities do not even require any quantity to become infinite.\u0026quot;\u003Cbr \/\u003E\u003Cbr \/\u003EThe objects Berry is describing have a feature called \u0026quot;topological protection.\u0026quot; That guarantees the existence of singular points in their "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/1071570238888608041"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/1071570238888608041"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608138108497#c1071570238888608041","title":""}],"author":[{"name":{"$t":"Kris Krogh"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/07340827856086381459"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"http:\/\/1.bp.blogspot.com\/-5e6wKU6Luos\/T3jK2nj8L7I\/AAAAAAAAAYU\/WFU3Zeo4h18\/s220\/portrait.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1983176757"},{"name":"blogger.displayTime","value":"12:01 PM, December 16, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-5896380330446468732"},"published":{"$t":"2020-12-16T11:56:50.036-05:00"},"updated":{"$t":"2020-12-16T11:56:50.036-05:00"},"title":{"type":"text","$t":""},"summary":{"type":"text","$t":"This comment has been removed by the author."},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5896380330446468732"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5896380330446468732"}],"author":[{"name":{"$t":"Kris Krogh"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/07340827856086381459"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"http:\/\/1.bp.blogspot.com\/-5e6wKU6Luos\/T3jK2nj8L7I\/AAAAAAAAAYU\/WFU3Zeo4h18\/s220\/portrait.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.contentRemoved","value":"true"},{"name":"blogger.itemClass","value":"pid-1983176757"},{"name":"blogger.displayTime","value":"11:56 AM, December 16, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-7979626978068785479"},"published":{"$t":"2020-12-16T10:15:51.249-05:00"},"updated":{"$t":"2020-12-16T10:15:51.249-05:00"},"title":{"type":"text","$t":""},"summary":{"type":"text","$t":"This comment has been removed by the author."},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/7979626978068785479"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/7979626978068785479"}],"author":[{"name":{"$t":"Kris Krogh"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/07340827856086381459"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"http:\/\/1.bp.blogspot.com\/-5e6wKU6Luos\/T3jK2nj8L7I\/AAAAAAAAAYU\/WFU3Zeo4h18\/s220\/portrait.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.contentRemoved","value":"true"},{"name":"blogger.itemClass","value":"pid-1983176757"},{"name":"blogger.displayTime","value":"10:15 AM, December 16, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-5159339484423703166"},"published":{"$t":"2020-12-16T01:06:23.402-05:00"},"updated":{"$t":"2020-12-16T01:06:23.402-05:00"},"title":{"type":"text","$t":"@Kris:\n\nI had a look at Berrys article, Making Wav..."},"summary":{"type":"text","$t":"@Kris:\u003Cbr \/\u003E\u003Cbr \/\u003EI had a look at Berrys article, Making Waves in Physics. It was published in Nature in 2000, it\u0026#39;s expository and historical and very well written - as one would expect for a Nature article.\u003Cbr \/\u003E\u003Cbr \/\u003EIf I\u0026#39;m not mistaken these singularities are like the singularities of Vladamir Arnold\u0026#39;s singularity theory where they can be resolved geometrically by adding dimensions"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5159339484423703166"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5159339484423703166"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608098783402#c5159339484423703166","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"}],"author":[{"name":{"$t":"Mozibur"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/11836761141351221660"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1832787352"},{"name":"blogger.displayTime","value":"1:06 AM, December 16, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-6106489064687246942"},"published":{"$t":"2020-12-16T00:24:08.744-05:00"},"updated":{"$t":"2020-12-16T00:24:08.744-05:00"},"title":{"type":"text","$t":"Kris,\n\nThe problem with these examples, as I said ..."},"summary":{"type":"text","$t":"Kris,\u003Cbr \/\u003E\u003Cbr \/\u003EThe problem with these examples, as I said in my video, is that they appear in models we know break down at a certain distance scale. No one doubts that singularities appear in approximations. But are they are real thing or an artifact of the approximation? "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/6106489064687246942"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/6106489064687246942"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608096248744#c6106489064687246942","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"}],"author":[{"name":{"$t":"Sabine Hossenfelder"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/06151209308084588985"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-2049897073"},{"name":"blogger.displayTime","value":"12:24 AM, December 16, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-1052906978916005872"},"published":{"$t":"2020-12-15T22:58:52.997-05:00"},"updated":{"$t":"2020-12-15T22:58:52.997-05:00"},"title":{"type":"text","$t":"Hi Sabine,\n\n...as we saw earlier, certain types of..."},"summary":{"type":"text","$t":"Hi Sabine,\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Ci\u003E...as we saw earlier, certain types of singularities do not even require any quantity to become infinite, it is not impossible that one day we may discover an actual singularity in nature.\u003C\/i\u003E\u003Cbr \/\u003E\u003Cbr \/\u003EFlippiefanus is correct:\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Ci\u003EPhase singularities are real physical things that one can observe in an experiment. They appear as essential singularities in "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/1052906978916005872"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/1052906978916005872"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608091132997#c1052906978916005872","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"}],"author":[{"name":{"$t":"Kris Krogh"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/07340827856086381459"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"http:\/\/1.bp.blogspot.com\/-5e6wKU6Luos\/T3jK2nj8L7I\/AAAAAAAAAYU\/WFU3Zeo4h18\/s220\/portrait.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1983176757"},{"name":"blogger.displayTime","value":"10:58 PM, December 15, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-7739194856222754755"},"published":{"$t":"2020-12-15T12:04:14.772-05:00"},"updated":{"$t":"2020-12-15T12:04:14.772-05:00"},"title":{"type":"text","$t":"Terry Bollinger,\nThanks again for your comments. W..."},"summary":{"type":"text","$t":"Terry Bollinger,\u003Cbr \/\u003EThanks again for your comments. We are discussing issues tangential to the notion of physical infinities and how they affect what actually happens next (my primary interest here). At some point I would like to consider two propositions that relate:\u003Cbr \/\u003E\u003Cbr \/\u003E • Any time metric is most usefully seen as a formal axiomatic system and hence Gödel limited.\u003Cbr \/\u003E\u003Cbr \/\u003E• The "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/7739194856222754755"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/7739194856222754755"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html?showComment=1608051854772#c7739194856222754755","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/8624803357045199336"}],"author":[{"name":{"$t":"Don Foster"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/04814669413022486958"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"23","height":"32","src":"\/\/3.bp.blogspot.com\/-9tUxhYF8RNI\/U4jCce_DJuI\/AAAAAAAAAaQ\/cnhtVZMQ2Vo\/s113\/*"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html","ref":"tag:blogger.com,1999:blog-22973357.post-9123784166969836218","source":"http://www.blogger.com/feeds/22973357/posts/default/9123784166969836218","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-736779489"},{"name":"blogger.displayTime","value":"12:04 PM, December 15, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-3611431586840050827"},"published":{"$t":"2020-12-15T11:05:58.615-05:00"},"updated":{"$t":"2020-12-15T11:05:58.615-05:00"},"title":{"type":"text","$t":"Addendum: Just to address a few questions folks mi..."},"summary":{"type":"text","$t":"Addendum: Just to address a few questions folks might have about my earlier comments:\u003Cbr \/\u003E\u003Cbr \/\u003E-----\u003Cbr \/\u003E\u003Cbr \/\u003EI mentioned that \u003Ci\u003Eif her spaceship survives\u003C\/i\u003E, the infalling observer will sail through the region of the black hole at full speed, watching it evaporate literally in front of her, and emerge out the other side as part of the Hawking radiation debris from the explosion of the "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3611431586840050827"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3611431586840050827"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608048358615#c3611431586840050827","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"Terry Bollinger"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/03915136249111338024"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/2.bp.blogspot.com\/-NVDGwOfK-eQ\/XVobwoK_m9I\/AAAAAAAAJoM\/BuROOaPqyJ0iCl99RNYRqmXYz5DxALneQCK4BGAYYCw\/s220\/2019-06-08%2B-%2BTerry%2BBollinger.jpeg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-666205460"},{"name":"blogger.displayTime","value":"11:05 AM, December 15, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-751192032007854727"},"published":{"$t":"2020-12-15T00:55:54.793-05:00"},"updated":{"$t":"2020-12-15T00:55:54.793-05:00"},"title":{"type":"text","$t":"Density isn\u0026#39;t observer-independent. The statem..."},"summary":{"type":"text","$t":"Density isn\u0026#39;t observer-independent. The statement that it\u0026#39;s bounded therefore isn\u0026#39;t well-defined. "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/751192032007854727"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/751192032007854727"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608011754793#c751192032007854727","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"}],"author":[{"name":{"$t":"Sabine Hossenfelder"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/06151209308084588985"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-2049897073"},{"name":"blogger.displayTime","value":"12:55 AM, December 15, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-86140267024931170"},"published":{"$t":"2020-12-14T21:53:58.062-05:00"},"updated":{"$t":"2020-12-14T21:53:58.062-05:00"},"title":{"type":"text","$t":"Phillip Helbig6:17 AM, December 14, 2020\n\nI make t..."},"summary":{"type":"text","$t":"Phillip Helbig6:17 AM, December 14, 2020\u003Cbr \/\u003E\u003Cbr \/\u003EI make the on-topic point that for some people - you, Martin Rees, Crazy Luke, Geraint Lewis - the technological singularity has already happened.\u003Cbr \/\u003E\u003Cbr \/\u003EI\u0026#39;m going to name my AI \u0026quot;Helbig 2.0\u0026quot;.\u003Cbr \/\u003EWhy don\u0026#39;t you ask my AI if the universe is fine-tuned, Helbig 1.0?\u003Cbr \/\u003EComputer Says No Evidence"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/86140267024931170"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/86140267024931170"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1608000838062#c86140267024931170","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/4487174165189864479"}],"author":[{"name":{"$t":"Steven Evans"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/13898046706669437332"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1909225906"},{"name":"blogger.displayTime","value":"9:53 PM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-984728049607275019"},"published":{"$t":"2020-12-14T21:01:51.632-05:00"},"updated":{"$t":"2020-12-14T21:01:51.632-05:00"},"title":{"type":"text","$t":"You may, or may not understand this.\n\n but,. at th..."},"summary":{"type":"text","$t":"   You may, or may not understand this.\u003Cbr \/\u003E\u003Cbr \/\u003E but,. at this moment.\u003Cbr \/\u003E  I\u0026#39;m crushing your head.\u003Cbr \/\u003E\u003Cbr \/\u003E -- Kids in the Hall rule.\u003Cbr \/\u003E  \u003Cbr \/\u003E        "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/984728049607275019"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/984728049607275019"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html?showComment=1607997711632#c984728049607275019","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/357734917868314034"}],"author":[{"name":{"$t":"A.C."},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/04994876510058676257"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html","ref":"tag:blogger.com,1999:blog-22973357.post-9123784166969836218","source":"http://www.blogger.com/feeds/22973357/posts/default/9123784166969836218","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1263846403"},{"name":"blogger.displayTime","value":"9:01 PM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-2078986301114672842"},"published":{"$t":"2020-12-14T18:57:45.439-05:00"},"updated":{"$t":"2020-12-14T18:57:45.439-05:00"},"title":{"type":"text","$t":"My understanding is that many physicists believe t..."},"summary":{"type":"text","$t":"My understanding is that many physicists believe that matter cannot be compressed beyond a certain density, say the Planck density, which is 3.36 x 10^96 kg\/m^3.  If this is true, then the Big Singularity would have had a radius that was fairly close to the classical electron radius (around 10^-15 meters), if one uses the presently accepted value of the mass of the Universe, 1.5 x 10^53 kg, in "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2078986301114672842"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607990265439#c2078986301114672842","title":""}],"author":[{"name":{"$t":"bentmoltheringer"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/00970390205338206421"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-290484180"},{"name":"blogger.displayTime","value":"6:57 PM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-2131582606185200643"},"published":{"$t":"2020-12-14T14:31:00.244-05:00"},"updated":{"$t":"2020-12-14T14:31:00.244-05:00"},"title":{"type":"text","$t":"Hello to all:\n\nI would like to follow up on my pos..."},"summary":{"type":"text","$t":"Hello to all:\u003Cbr \/\u003E\u003Cbr \/\u003EI would like to follow up on my post from March 14, 2020 to advise that my article on QCD and confinement which I was motivated to write based on discussion in this thread, was published in the journal \u0026quot;Symmetry\u0026quot; a few weeks ago.  The title is \u0026quot;QCD Theory of the Hadrons and Filling the Yang–Mills Mass Gap,\u0026quot; and you may find it at https:\/\/www.mdpi.com\/"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/6779704952804077166\/comments\/default\/2131582606185200643"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/6779704952804077166\/comments\/default\/2131582606185200643"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2019\/12\/how-did-universe-begin.html?showComment=1607974260244#c2131582606185200643","title":""}],"author":[{"name":{"$t":"Jay R. Yablon"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/06940315508866841307"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/3.bp.blogspot.com\/-eRS_TBFAtjc\/XWHxtqYx-ZI\/AAAAAAAAAI0\/2-FNDN0fG2YfGo2Uiq1EWJbYE2ONbMyJwCK4BGAYYCw\/s102\/JRYablon.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2019\/12\/how-did-universe-begin.html","ref":"tag:blogger.com,1999:blog-22973357.post-6779704952804077166","source":"http://www.blogger.com/feeds/22973357/posts/default/6779704952804077166","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-800324269"},{"name":"blogger.displayTime","value":"2:31 PM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-249302204687285742"},"published":{"$t":"2020-12-14T12:57:22.751-05:00"},"updated":{"$t":"2020-12-14T12:57:22.751-05:00"},"title":{"type":"text","$t":"If there is a physicist that I respect, it is Gera..."},"summary":{"type":"text","$t":"If there is a physicist that I respect, it is Gerard ’t Hooft and I think he is the first to take everything he proposes with a certain skepticism. \u003Cbr \/\u003EWe take structures and effects like Hawking radiation for granted. We consider that from the remains of a supernova we obtain a black hole and from there we develop models and theories. \u003Cbr \/\u003EBut do we have any idea how a horizon emerges? How "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/249302204687285742"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/249302204687285742"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607968642751#c249302204687285742","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"hector gomez rioja"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/08986936900598873853"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/1.bp.blogspot.com\/-JKUXsi8Lx4o\/XWOtJ4QUe1I\/AAAAAAAAASQ\/plu7Lxm_K1oT04wdKoVWwoYHr9MiKDerwCK4BGAYYCw\/s1600\/gUlHJzuR_400x400.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1489179162"},{"name":"blogger.displayTime","value":"12:57 PM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-2346909760942473536"},"published":{"$t":"2020-12-14T11:40:03.692-05:00"},"updated":{"$t":"2020-12-14T11:40:03.692-05:00"},"title":{"type":"text","$t":"Sabine, since you did not object to any of them, m..."},"summary":{"type":"text","$t":"Sabine, since you did not object to any of them, may I assume your answer to each of my three questions is yes?\u003Cbr \/\u003E\u003Cbr \/\u003Ehector: Proper time is of course just local clock time, the time displayed by a clock that is close enough to the observer so that the temporal ambiguities of special relativity can be made negligible. Stated that way, proper time is just wristwatch time, your own personal "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2346909760942473536"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2346909760942473536"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607964003692#c2346909760942473536","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"Terry Bollinger"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/03915136249111338024"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/2.bp.blogspot.com\/-NVDGwOfK-eQ\/XVobwoK_m9I\/AAAAAAAAJoM\/BuROOaPqyJ0iCl99RNYRqmXYz5DxALneQCK4BGAYYCw\/s220\/2019-06-08%2B-%2BTerry%2BBollinger.jpeg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-666205460"},{"name":"blogger.displayTime","value":"11:40 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-1856923617260334312"},"published":{"$t":"2020-12-14T08:20:06.831-05:00"},"updated":{"$t":"2020-12-14T08:20:06.831-05:00"},"title":{"type":"text","$t":"Terry Bollinger,\nThanks very much for your comment..."},"summary":{"type":"text","$t":"Terry Bollinger,\u003Cbr \/\u003EThanks very much for your comments and taking time to put mine in perspective. I admit to having only a Braille-like appreciation of some of the physics and certainly the mathematics. This topic has diverged into many different discussions with general focus on the intersection of math and physics. I am forming a reply, but, given the breadth of comments and my limited "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/1856923617260334312"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/1856923617260334312"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html?showComment=1607952006831#c1856923617260334312","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/8624803357045199336"}],"author":[{"name":{"$t":"Don Foster"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/04814669413022486958"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"23","height":"32","src":"\/\/3.bp.blogspot.com\/-9tUxhYF8RNI\/U4jCce_DJuI\/AAAAAAAAAaQ\/cnhtVZMQ2Vo\/s113\/*"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html","ref":"tag:blogger.com,1999:blog-22973357.post-9123784166969836218","source":"http://www.blogger.com/feeds/22973357/posts/default/9123784166969836218","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-736779489"},{"name":"blogger.displayTime","value":"8:20 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-5884530032418914095"},"published":{"$t":"2020-12-14T07:31:52.956-05:00"},"updated":{"$t":"2020-12-14T07:31:52.956-05:00"},"title":{"type":"text","$t":"I am not a physicist, but please allow me to raise..."},"summary":{"type":"text","$t":"I am not a physicist, but please allow me to raise the Gedankenexperiment of falling into a black hole.\u003Cbr \/\u003EThinking that when approaching a black hole, due to the gravitational force, time slows down, what an imaginary entity would experience is that everything that is around it moves away from it.\u003Cbr \/\u003EAs Lawrence Crowell also says in another comment \u0026quot;falling into a black hole is not so "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5884530032418914095"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5884530032418914095"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607949112956#c5884530032418914095","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"hector gomez rioja"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/08986936900598873853"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/1.bp.blogspot.com\/-JKUXsi8Lx4o\/XWOtJ4QUe1I\/AAAAAAAAASQ\/plu7Lxm_K1oT04wdKoVWwoYHr9MiKDerwCK4BGAYYCw\/s1600\/gUlHJzuR_400x400.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1489179162"},{"name":"blogger.displayTime","value":"7:31 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-3056628017978757128"},"published":{"$t":"2020-12-14T06:47:46.532-05:00"},"updated":{"$t":"2020-12-14T06:47:46.532-05:00"},"title":{"type":"text","$t":"As an uninformed layperson, I would define \u0026#39;si..."},"summary":{"type":"text","$t":"As an uninformed layperson, I would define \u0026#39;singularity\u0026#39; as that point beyond the human mind\u0026#39;s ability to calculate or contemplate"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3056628017978757128"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3056628017978757128"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607946466532#c3056628017978757128","title":""}],"author":[{"name":{"$t":"Charlie Earl"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/15936709760945462507"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"24","height":"32","src":"http:\/\/1.bp.blogspot.com\/--7zGMfBtmJI\/TbwEe3avFsI\/AAAAAAAAAG4\/FR-eoh4c4t8\/s220\/charlieearlicon.png"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-208143563"},{"name":"blogger.displayTime","value":"6:47 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-8634326015988868783"},"published":{"$t":"2020-12-14T06:17:22.822-05:00"},"updated":{"$t":"2020-12-14T06:17:22.822-05:00"},"title":{"type":"text","$t":"\u0026quot;I have built a general AI\u0026quot;\n\nA quick ana..."},"summary":{"type":"text","$t":"\u003Ci\u003E\u0026quot;I have built a general AI\u0026quot;\u003C\/i\u003E\u003Cbr \/\u003E\u003Cbr \/\u003EA quick analysis shows that it is actually a stupid chatbot which posts drivel in response to any post of mine.  It doesn\u0026#39;t even understand the idea of at least pretending to be on-topic, which spammers mastered decades ago.\u003Cbr \/\u003E"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/8634326015988868783"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/8634326015988868783"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607944642822#c8634326015988868783","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/4487174165189864479"}],"author":[{"name":{"$t":"Phillip Helbig"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/12067585245603436809"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"23","height":"32","src":"http:\/\/4.bp.blogspot.com\/-P9jnb_ljFCQ\/TgMR5xnv1dI\/AAAAAAAAAAQ\/QOvBWA2ftYY\/s220\/TYCHO.GIF"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-78435951"},{"name":"blogger.displayTime","value":"6:17 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-3544004979497546902"},"published":{"$t":"2020-12-14T06:12:55.497-05:00"},"updated":{"$t":"2020-12-14T06:12:55.497-05:00"},"title":{"type":"text","$t":"But the question is, how long does it take before ..."},"summary":{"type":"text","$t":"But the question is, how long does it take before I, a stationary outside observer, see you crossing the horizon if you fall into a black hole?\u003Cbr \/\u003E\u003Cbr \/\u003EIIRC, Susskind once stated that black hole evaporation looked from the outside as if the material that is still outside the horizon boils off.\u003Cbr \/\u003E"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3544004979497546902"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/3544004979497546902"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607944375497#c3544004979497546902","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"Rob van Son (Not a physicist, just an amateur)"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/12611755507524401026"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-158513094"},{"name":"blogger.displayTime","value":"6:12 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-245883647213168288"},"published":{"$t":"2020-12-14T05:11:31.411-05:00"},"updated":{"$t":"2020-12-14T05:11:31.411-05:00"},"title":{"type":"text","$t":"No, you cross the horizon in finite proper time."},"summary":{"type":"text","$t":"No, you cross the horizon in finite proper time."},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/245883647213168288"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/245883647213168288"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607940691411#c245883647213168288","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"Sabine Hossenfelder"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/06151209308084588985"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-2049897073"},{"name":"blogger.displayTime","value":"5:11 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-5951425056825435030"},"published":{"$t":"2020-12-14T05:06:31.698-05:00"},"updated":{"$t":"2020-12-14T05:06:31.698-05:00"},"title":{"type":"text","$t":"Christopher8:48 PM, December 13, 2020\n\n\u0026quot;there..."},"summary":{"type":"text","$t":"Christopher8:48 PM, December 13, 2020\u003Cbr \/\u003E\u003Cbr \/\u003E\u0026quot;there is nothing special about the infinity of number of curves in space? \u0026quot;\u003Cbr \/\u003EApparently the cardinality of the set of curves in R^n is the same as that of R. See the answer here:\u003Cbr \/\u003E\u003Cbr \/\u003Ehttps:\/\/math.stackexchange.com\/questions\/2550313\/is-aleph-3-the-cardinality-of-all-the-surfaces-that-exists"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/5951425056825435030"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/5951425056825435030"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html?showComment=1607940391698#c5951425056825435030","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/9123784166969836218\/comments\/default\/5207950657316546321"}],"author":[{"name":{"$t":"Steven Evans"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/13898046706669437332"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/is-infinity-real_5.html","ref":"tag:blogger.com,1999:blog-22973357.post-9123784166969836218","source":"http://www.blogger.com/feeds/22973357/posts/default/9123784166969836218","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1909225906"},{"name":"blogger.displayTime","value":"5:06 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-5822821287809670811"},"published":{"$t":"2020-12-14T05:01:30.958-05:00"},"updated":{"$t":"2020-12-14T05:01:30.958-05:00"},"title":{"type":"text","$t":"Does this imply that you need an infinite time to ..."},"summary":{"type":"text","$t":"Does this imply that you need an infinite time to cross a horizon, which implies that in the entire history of the universe no horizon has yet been crossed, nothing has yet fallen into a black hole?"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5822821287809670811"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/5822821287809670811"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607940090958#c5822821287809670811","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2682181072735415087"}],"author":[{"name":{"$t":"hector gomez rioja"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/08986936900598873853"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"32","height":"32","src":"\/\/1.bp.blogspot.com\/-JKUXsi8Lx4o\/XWOtJ4QUe1I\/AAAAAAAAASQ\/plu7Lxm_K1oT04wdKoVWwoYHr9MiKDerwCK4BGAYYCw\/s1600\/gUlHJzuR_400x400.jpg"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1489179162"},{"name":"blogger.displayTime","value":"5:01 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-2813929556386619153"},"published":{"$t":"2020-12-14T00:55:53.042-05:00"},"updated":{"$t":"2020-12-14T00:55:53.042-05:00"},"title":{"type":"text","$t":"I also used to think of technological singularity ..."},"summary":{"type":"text","$t":"I also used to think of technological singularity as la-la land. But not anymore. But I\u0026#39;d disagree that it\u0026#39;s something completely new. All of this can be traced back to the industrial revolution when processes first began to be industrialised on a mass scale. People began to then notice the social ills that it brought in it\u0026#39;s wake. The infamous \u0026#39;satanic chimneys\u0026#39; and children "},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2813929556386619153"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/2813929556386619153"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607925353042#c2813929556386619153","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/4487174165189864479"}],"author":[{"name":{"$t":"Mozibur"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/11836761141351221660"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1832787352"},{"name":"blogger.displayTime","value":"12:55 AM, December 14, 2020"}]},{"id":{"$t":"tag:blogger.com,1999:blog-22973357.post-8675447331144652514"},"published":{"$t":"2020-12-13T23:03:52.103-05:00"},"updated":{"$t":"2020-12-13T23:03:52.103-05:00"},"title":{"type":"text","$t":"Phillip Helbig12:40 PM, December 13, 2020\n\nI have ..."},"summary":{"type":"text","$t":"Phillip Helbig12:40 PM, December 13, 2020\u003Cbr \/\u003E\u003Cbr \/\u003EI have built a general AI which is more intelligent than 90% of humanity, a number of professional Physicists, a UK Astronomer Royal, a Physics Nobel Laureate and a Fields Medal winner:\u003Cbr \/\u003E\u003Cbr \/\u003EWhile (Universe Not= La-la Land)\u003Cbr \/\u003E   {\u003Cbr \/\u003E   If there is no evidence for X\u003Cbr \/\u003E    Then X is not necessarily True;\u003Cbr \/\u003E   }"},"link":[{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/8675447331144652514"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/8675447331144652514"},{"rel":"alternate","type":"text/html","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html?showComment=1607918632103#c8675447331144652514","title":""},{"rel":"related","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/22973357\/4819085306255353409\/comments\/default\/4487174165189864479"}],"author":[{"name":{"$t":"Steven Evans"},"uri":{"$t":"https:\/\/www.blogger.com\/profile\/13898046706669437332"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$in-reply-to":{"xmlns$thr":"http://purl.org/syndication/thread/1.0","href":"http:\/\/backreaction.blogspot.com\/2020\/12\/are-singularities-real.html","ref":"tag:blogger.com,1999:blog-22973357.post-4819085306255353409","source":"http://www.blogger.com/feeds/22973357/posts/default/4819085306255353409","type":"text/html"},"gd$extendedProperty":[{"name":"blogger.itemClass","value":"pid-1909225906"},{"name":"blogger.displayTime","value":"11:03 PM, December 13, 2020"}]}]}});