{"id":393,"date":"2020-09-25T12:00:00","date_gmt":"2020-09-25T16:00:00","guid":{"rendered":"https:\/\/anyonecanscience.com\/?p=393"},"modified":"2020-09-24T20:58:43","modified_gmt":"2020-09-25T00:58:43","slug":"ctrlaltdel-part-2-black-holes-and-the-information-paradox","status":"publish","type":"post","link":"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/25\/ctrlaltdel-part-2-black-holes-and-the-information-paradox\/","title":{"rendered":"Ctrl+Alt+Del: Part 2 \u2014 Black Holes and the Information Paradox"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">From my last two blog posts on <a href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/11\/hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era\/\" target=\"_blank\" rel=\"noreferrer noopener\">Hawking radiation<\/a> and the <a href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/18\/ctrl-alt-del-part-1-the-destruction-of-quantum-information\/\" target=\"_blank\" rel=\"noreferrer noopener\">conservation of quantum information<\/a>, it\u2019s clear that we have a major problem on our hands\u2014the information paradox. We know that black holes decay over unimaginable timescales, seemingly erasing quantum information in the process. But we also know that quantum information has to be conserved. Theoretically, at least, we have to be able to trace particles back through their quantum histories. If black holes were entirely stable, then we could consider this condition met. While the information in a black hole would be inaccessible, it wouldn\u2019t be destroyed. But if black holes do decay into random radiation, then what does that mean for our conservation of information? Is there a way to solve this information paradox, or must we assume that, eventually, black holes will erase the universe completely?<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"720\" src=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/ink-3577763_1280.jpg?resize=1280%2C720&#038;ssl=1\" alt=\"Black holes evaporate through Hawking radiation.\" class=\"wp-image-391\" srcset=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/ink-3577763_1280.jpg?w=1280&amp;ssl=1 1280w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/ink-3577763_1280.jpg?resize=300%2C169&amp;ssl=1 300w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/ink-3577763_1280.jpg?resize=1024%2C576&amp;ssl=1 1024w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/ink-3577763_1280.jpg?resize=768%2C432&amp;ssl=1 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption>Image by\u00a0<a href=\"https:\/\/pixabay.com\/users\/Gam-Ol-2829280\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3577763\">Oleg Gamulinskiy<\/a>\u00a0from\u00a0<a href=\"https:\/\/pixabay.com\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3577763\">Pixabay<\/a><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">In the 1970s, Stephen Hawking discovered that black holes, entities of infinite density that exert gravitational pulls so strong that not even light can escape, actually leak out radiation. This radiation, called <a href=\"https:\/\/www.brainmaster.com\/software\/pubs\/physics\/Hawking%20Particle%20Creation.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Hawking radiation<\/a>, arises from a strange marriage of <a href=\"https:\/\/www.newscientist.com\/question\/quantum-field-theory\/\" target=\"_blank\" rel=\"noreferrer noopener\">quantum field theory<\/a> and <a href=\"https:\/\/www.space.com\/17661-theory-general-relativity.html\" target=\"_blank\" rel=\"noreferrer noopener\">general relativity<\/a>. Historically, it has been impossible to reconcile quantum field theory with general relativity\u2014they each seem to govern the universe from their own narrow perspectives. Quantum field theory describes the universe at the smallest of scales, predicting how atomic structure forms and changes. General relativity describes the universe on cosmic scales, predicting how gravitational forces bend the fabric of spacetime. Both of these theories are extremely accurate within their individual scales, but they don\u2019t play well together.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Because no unified \u201ctheory of everything\u201d exists, Stephen Hawking had to hack quantum field theory and general relativity to make the calculations that proved Hawking radiation. He did this by calculating what would happen to quantum fields at the instant a black hole formed\u2014essentially a boundary where the perspectives of quantum field theory and general relativity overlap. His calculations demonstrated that black holes radiate &#8220;virtual particles\u201d derived from random quantum fluctuations around the event horizon. These random fluctuations take the form of thermal radiation, meaning that black holes have a temperature that is proportional to their mass, or the surface area of their event horizons. But black holes radiate away their masses very slowly, so their temperatures at any given moment are just barely above absolute zero. For example, the black hole at the center of the Milky Way galaxy, Sagittarius A*, has a mass equivalent to about 4 million solar masses which gives it a Hawking temperature of 0.000000000000015 Kelvin (1.5 x 10<sup>-14<\/sup> K). <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1950\" height=\"1300\" src=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?resize=1950%2C1300&#038;ssl=1\" alt=\"An inflated balloon does not visibly leak unless punctured. \" class=\"wp-image-389\" srcset=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?w=1950&amp;ssl=1 1950w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?resize=300%2C200&amp;ssl=1 300w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?resize=1024%2C683&amp;ssl=1 1024w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?resize=768%2C512&amp;ssl=1 768w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/photo-1579825891791-30ce2b9c5a2a.jpeg?resize=1536%2C1024&amp;ssl=1 1536w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption>Photo by\u00a0<a href=\"https:\/\/unsplash.com\/@hiddenwindows?utm_source=unsplash&amp;utm_medium=referral&amp;utm_content=creditCopyText\">Danilo Batista<\/a>\u00a0on\u00a0<a href=\"https:\/\/unsplash.com\/?utm_source=unsplash&amp;utm_medium=referral&amp;utm_content=creditCopyText\">Unsplash<\/a><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Hawking\u2019s calculations demonstrate that black holes radiate away their mass extremely slowly, over inconceivable scales of time. As this happens, the event horizon shrinks imperceptibly until the black hole completely evaporates. This may easier to visualize than you think. Imagine a normal party balloon filled with air and tied off at the stem. As long as there is no puncture in the balloon\u2019s surface, the balloon should not visibly deflate. But over days and weeks, the balloon does deflate. Particles of air slowly escape through the balloon\u2019s molecularly porous surface. This happens too slowly for you to perceive any noticeable leak. Instead, you probably notice that the balloon appears smaller each day. The previously stretched surface of the balloon slackens and gradually contracts. The overall surface area of the balloon decreases until it is completely deflated. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Similarly, over a much longer time span, black holes leak imperceptible amounts of their masses through Hawking radiation, causing their surface areas to contract (the surface area of a black hole\u2019s event horizon is directly tied to its mass just like a balloon\u2019s surface area is tied to the mass of air it contains). A black hole can also gain mass, and surface area, by swallowing the mass of other objects that cross its event horizon. Based on the <a href=\"http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/Astro\/blkhol.html\" target=\"_blank\" rel=\"noreferrer noopener\">Schwarzschild radius formula<\/a>, an object the mass of the earth (roughly 6 x 10<sup>24<\/sup> kg) would add 8.9 mm to the radius of a black hole (ignoring that some of this mass gets converted to energy in the extremely hot accretion disk). This would translate to a 995 square-mm increase in surface area. For comparison, the surface area of a standard ping pong ball (radius=18.8 mm) is 4,440 square-mm. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"991\" height=\"573\" src=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/20650469282_9801c78fc8_b.jpg?resize=991%2C573&#038;ssl=1\" alt=\"Just like balloons deflate over time, black holes leak Hawking radiation, losing mass and surface area.\" class=\"wp-image-390\" srcset=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/20650469282_9801c78fc8_b.jpg?w=991&amp;ssl=1 991w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/20650469282_9801c78fc8_b.jpg?resize=300%2C173&amp;ssl=1 300w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/20650469282_9801c78fc8_b.jpg?resize=768%2C444&amp;ssl=1 768w\" sizes=\"auto, (max-width: 991px) 100vw, 991px\" \/><figcaption><a href=\"https:\/\/www.flickr.com\/photos\/132377151@N04\/20650469282\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;Deflated Balloon&#8221;<\/a>\u00a0by\u00a0<a href=\"https:\/\/www.flickr.com\/photos\/132377151@N04\" target=\"_blank\" rel=\"noreferrer noopener\">bunkaryudo<\/a>\u00a0is marked with\u00a0<a href=\"https:\/\/creativecommons.org\/publicdomain\/mark\/1.0\/?ref=ccsearch&amp;atype=rich\" target=\"_blank\" rel=\"noreferrer noopener\">CC PDM 1.0<\/a><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Black holes that wander into dense regions of space, may find lots of stars, gas, and planets to snack on (if these objects happen to wander too close or if they lose the speed needed for a stable orbit of the black hole). These objects that travel beyond the event horizon contribute their masses and a small amount of surface area. In turn, the surface area, and corresponding mass, of the black hole are eventually lost through Hawking radiation. Information goes into the black hole, gets fairly extensively compressed, and then is radiated away as seemingly senseless thermal radiation. Solving the information paradox requires that the information persists in some way. As it turns out, the solution may have something to do with the black hole\u2019s surface area.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As we saw above, an object that falls into a black hole adds a small amount of surface area to the black hole\u2019s event horizon. And, as we saw during <a href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/08\/21\/a-journey-to-the-center-of-a-black-hole\/\" target=\"_blank\" rel=\"noreferrer noopener\">our journey into a black hole<\/a>, objects that fall into a black hole don\u2019t actually appear to fall in, from an outsider perspective. Instead, an object falling towards the black hole freezes at the event horizon, perfectly smeared on its surface, and then becomes dimmer and dimmer until it is no longer visible. These two properties of objects falling into black holes led physicists to speculate that the quantum information from these objects might actually be printed on the event horizon where it could be released back into the universe with the Hawking radiation. This is a complicated set of theories that I will more thoroughly explain in next week\u2019s blog. But if these theories do hold up and they resolve the information paradox, then they could also indicate that the entire universe is actually. . . a hologram. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Comment below or email me at <a href=\"mailto:contact@anyonecanscience.com\">contact@anyonecanscience.com<\/a> to let me know what you think about this week\u2019s blog post and tell me what sorts of topics you want me to cover in the future. And subscribe below for weekly science posts sent straight to your email!<\/p>\n\n\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>From my last two blog posts on Hawking radiation and the conservation of quantum information, it\u2019s clear that we have a major problem on our hands\u2014the information paradox. We know that black holes decay over unimaginable timescales, seemingly erasing quantum information in the process. But we also know that quantum information has to be conserved. Theoretically, at least, we have to be able to trace particles back through their quantum histories. If black holes were entirely stable, then we could consider this condition met. While the information in a black hole would be inaccessible, it wouldn\u2019t be destroyed. But if&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/25\/ctrlaltdel-part-2-black-holes-and-the-information-paradox\/\">Continue reading<span class=\"screen-reader-text\">Ctrl+Alt+Del: Part 2 \u2014 Black Holes and the Information Paradox<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":392,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"This week's blog post is part two in our series on the information paradox. We talk about how black holes leak their mass and surface area through Hawking radiation and what that means for the state of quantum information. #BlackHoles #anyonecanscience","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[105],"tags":[106,136,121,122,131,133,126],"class_list":["post-393","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-space","tag-black-hole","tag-general-relativity","tag-hawking-radiation","tag-quantum-field-theory-qft","tag-quantum-information","tag-the-information-paradox","tag-the-theory-of-everything","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Ctrl+Alt+Del: Part 2 \u2014 Black Holes and the Information Paradox<\/title>\n<meta name=\"description\" content=\"But if black holes do decay into random radiation, then what does that mean for our conservation of information? 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