{"id":375,"date":"2020-09-11T12:00:00","date_gmt":"2020-09-11T16:00:00","guid":{"rendered":"https:\/\/anyonecanscience.com\/?p=375"},"modified":"2021-02-28T16:00:21","modified_gmt":"2021-02-28T21:00:21","slug":"hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era","status":"publish","type":"post","link":"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/11\/hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era\/","title":{"rendered":"How the Universe Will End \u2014 Hawking Radiation and the Rise and Fall of the Black Hole Era"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In last week\u2019s post on <a rel=\"noreferrer noopener\" href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/04\/entropy-energy-and-the-slow-decay-of-the-universe\/\" target=\"_blank\">entropy<\/a>, I blithely referred to <a rel=\"noreferrer noopener\" href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/08\/28\/m87-and-the-event-horizon-telescope\/\" target=\"_blank\">black holes<\/a> as spontaneously increasing in entropy. This may seem counterintuitive (as much as anybody can have \u201cintuition\u201d about black holes). If we view the increase in entropy as a system moving from order to disorder, how would a singularity become more disordered? How could the contents of a black hole spread out in a more disordered manner if they are supposed to take up an infinitely small amount of space? If we use the other definition of entropy, the dispersal of energy, then that would imply that a black hole leaks energy into the surrounding void of space. But nothing is supposed to escape the black hole\u2019s event horizon\u2014not even light. The <a rel=\"noreferrer noopener\" href=\"https:\/\/courses.lumenlearning.com\/physics\/chapter\/15-6-entropy-and-the-second-law-of-thermodynamics-disorder-and-the-unavailability-of-energy\/\" target=\"_blank\">second law of thermodynamics<\/a> demands that entropy increases, but for a long time even scientists could not determine how that would happen in a black hole. The problem was cracked in the 1970s by Stephen Hawking, who proposed that<a href=\"https:\/\/www.vox.com\/science-and-health\/2018\/3\/14\/17119320\/stephen-hawking-hawking-radiation-explained\" target=\"_blank\" rel=\"noreferrer noopener\"> black holes have a set temperature <\/a>proportional to their surface area that disperses into the surrounding void in the form of Hawking radiation. Hawking radiation explains how black holes increase in entropy over time, but it also presents a whole new set of questions that physicists continue to grapple with today. Hawking radiation also sets the scene for how the universe may die in the far, far future. It seems not even black holes are safe from the ravages of time.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The common, simplified description of Hawking radiation explains the phenomenon in terms of \u201cvirtual particles.\u201d These are small particles of matter and anti-matter that spontaneously pop into existence and immediately annihilate each other. But at the edge of a black hole, one of these virtual particles may appear inside the event horizon. The particle, like light, cannot escape the singularity\u2019s gravitational pull. As the particle is swallowed by the black hole, its opposing twin radiates away from the black hole with nothing to annihilate it. Positive energy from this jilted virtual particle appears to leak out of the black hole as radiation. Simultaneously, the particle that fell into the black hole imparts negative energy, reducing the surface area of the event horizon. Small black holes leak their energy faster than big black holes, meaning that small black holes appear much \u201chotter.\u201d But, over time, black holes evaporate completely into nothing but random energy.<\/p>\n\n\n<div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_38854\"  width=\"480\" height=\"270\"  data-origwidth=\"480\" data-origheight=\"270\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/qPKj0YnKANw?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=0&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div>\n\n\n<p class=\"wp-block-paragraph\">The &#8220;virtual particles\u201d description of Hawking radiation is a convenient way to frame Stephen Hawking\u2019s extremely <a href=\"https:\/\/www.brainmaster.com\/software\/pubs\/physics\/Hawking%20Particle%20Creation.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">complex calculations<\/a>. But you may be wondering why these virtual particles would be popping in and out of existence in the first place. In Hawking\u2019s original calculations, these \u201cvirtual particles\u201d arise from fluctuations in the quantum field. Quantum field theory is far too complex for me to explain in this blog post, but the <em>PBS Space Time<\/em> video above does a great job of explaining how it works in terms of Hawking radiation, and it links to some of their other videos about quantum mechanics. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In simplified terms, quantum field theory defines every particle of matter or energy as a set of discrete oscillations in the quantum field. Like a guitar string oscillates back and forth when plucked, the quantum field of even empty space oscillates as you move forward and backward in time. \u201cVirtual particles\u201d are really just \u201crandom\u201d fluctuations in the quantum field that arise from uncertainty. These fluctuations occur in identical pairs, with one moving forward in time (a particle) and one moving backward in time (an anti-particle) so that they cancel each other out when they combine (you can imagine this as the same phenomenon active <a href=\"https:\/\/electronics.howstuffworks.com\/gadgets\/audio-music\/noise-canceling-headphone3.htm\" target=\"_blank\" rel=\"noreferrer noopener\">noise-canceling headphones<\/a> use to \u201cdestroy\u201d ambient sound).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">But in areas where spacetime is extremely curved, like near a black hole, the quantum field fluctuations are disrupted. The result of this disruption is that the vacuum around the black hole contains fluctuations moving forward in time that look like particle radiation. The black hole has absorbed the corresponding \u201cnegative\u201d fluctuation, meaning it loses energy and mass. (This may be confusing but, if you think about it, a quantum fluctuation moving backward in time would mean that there was more energy in the past than there is in the present). <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Black-Hole-Radiation-small.jpg?resize=1024%2C1024&#038;ssl=1\" alt=\"Black holes lose energy in the form of Hawking radiation. Eventually the black hole evaporates away completely.\" class=\"wp-image-372\" srcset=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Black-Hole-Radiation-small.jpg?w=1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Black-Hole-Radiation-small.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Black-Hole-Radiation-small.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Black-Hole-Radiation-small.jpg?resize=768%2C768&amp;ssl=1 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption>Black holes lose energy in the form of virtual particle radiation. Eventually the black hole evaporates away completely.<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">A black hole moving through space can gain mass, which translates to event horizon surface area, by consuming any planets, stars, and gas that falls into it. But eventually, through Hawking radiation, black holes do become smaller and less massive until they evaporate away. However, black holes are still some of the most stable entities in the universe. Black hole evaporation happens on massive time scales that are dependent on the size of the initial black hole. For a supermassive black hole, it would take <a href=\"https:\/\/www.universetoday.com\/119794\/how-do-black-holes-evaporate\/\" target=\"_blank\" rel=\"noreferrer noopener\">a googol<\/a>, 10<sup>100<\/sup>, years for the black hole to completely evaporate. For comparison, the universe has only been around for roughly 10<sup>10<\/sup> years, an infinitesimal length of time compared to the life of a black hole. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The universe is currently in what scientists call the <a href=\"http:\/\/abyss.uoregon.edu\/~js\/ast123\/lectures\/lec26.html\" target=\"_blank\" rel=\"noreferrer noopener\">Stellar Era<\/a>, a period of time in which most of the universe\u2019s energy comes from the thermonuclear fusion inside stars. New stars are still being born from gas clouds, but within 10<sup>14<\/sup> more years (roughly 10,000 times the current age of the universe), all of the gas will be used up and even the most stable stars will have run out of fuel. Next, we will enter the Degenerate Era, a period of slowly cooling, dead stars. Stars that are not massive enough to form black holes will collapse and cool into degenerate husks. Protons decay over a time scale of 10<sup>32<\/sup> years. Therefore, scientists estimate that all matter (the planets and remnant stars) will disintegrate into free leptons (the smallest, most elementary particles like electrons, positrons, muons, etc.) within 10<sup>37<\/sup> years. Once all the matter has decayed, the only structures remaining in the universe will be black holes. We enter the Black Hole Era.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Photons-small.jpg?resize=1024%2C576&#038;ssl=1\" alt=\"When all the black holes have evaporated, the universe will be filled with free photons and leptons.\" class=\"wp-image-373\" srcset=\"https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Photons-small.jpg?w=1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Photons-small.jpg?resize=300%2C169&amp;ssl=1 300w, https:\/\/i0.wp.com\/anyonecanscience.com\/wp-content\/uploads\/2020\/09\/Photons-small.jpg?resize=768%2C432&amp;ssl=1 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption>When all the black holes have evaporated, the universe will be filled with free photons and leptons.<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Because of the stability of black holes, the Black Hole Era will last longer than any other age of the universe. The lifespan of all matter in the universe, roughly  10<sup>37<\/sup> years, makes up less than 0.0000000000000000000000000000000000000000000000000000000000001% (10<sup>-61<\/sup>%) of the lifespan of a black hole. Life, matter, and energy are characteristics of the universe in its infancy. The overwhelming majority of the universe\u2019s life is empty, dark, and cold. Once all the black holes have evaporated, we enter the Dark Era, a period of cooling photons tending towards uniformity and maximum entropy. When the universe reaches a uniform minimum temperature, time becomes meaningless. <\/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>In last week\u2019s post on entropy, I blithely referred to black holes as spontaneously increasing in entropy. This may seem counterintuitive (as much as anybody can have \u201cintuition\u201d about black holes). If we view the increase in entropy as a system moving from order to disorder, how would a singularity become more disordered? How could the contents of a black hole spread out in a more disordered manner if they are supposed to take up an infinitely small amount of space? If we use the other definition of entropy, the dispersal of energy, then that would imply that a black&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/11\/hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era\/\">Continue reading<span class=\"screen-reader-text\">How the Universe Will End \u2014 Hawking Radiation and the Rise and Fall of the Black Hole Era<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":374,"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 all about the end of the universe and how even black holes evaporate through Hawking radiation. Check it out and subscribe to the site for weekly science emails. #HawkingRadiation #Scienceblogging #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":[106,121,122,124,125,129,128,130,127,126,123],"class_list":["post-375","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-space","tag-black-hole","tag-hawking-radiation","tag-quantum-field-theory-qft","tag-quantum-physics","tag-relativity","tag-the-black-hole-era","tag-the-degenerate-era","tag-the-end-of-the-universe","tag-the-stellar-era","tag-the-theory-of-everything","tag-virtual-particles","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How the Universe Will End \u2014 Hawking Radiation and the Rise and Fall of the Black Hole Era<\/title>\n<meta name=\"description\" content=\"In last week\u2019s post on entropy, I blithely referred to black holes as spontaneously increasing in entropy. This may seem counterintuitive (as much as anybody can have \u201cintuition\u201d about black holes). If we view the increase in entropy as a system moving from order to disorder, how would a singularity become more disordered? How could the contents of a black hole spread out in a more disordered manner if they are supposed to take up an infinitely small amount of space? If we use the other definition of entropy, the dispersal of energy, then that would imply that a black hole leeches energy into the surrounding void of space. But nothing is supposed to escape the black hole\u2019s event horizon\u2014not even light. The second law of thermodynamics demands that entropy increases, but for a long time even scientists could not determine how that would happen in a black hole. The problem was cracked in the 1970s by Stephen Hawking, who proposed that black holes have a set temperature proportional to their surface area that disperses into the surrounding void in the form of Hawking radiation. Hawking radiation explains how black holes increase in entropy over time, but it also presents a whole new set of questions that physicists continue to grapple with today.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/11\/hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How the Universe Will End \u2014 Hawking Radiation and the Rise and Fall of the Black Hole Era\" \/>\n<meta property=\"og:url\" content=\"https:\/\/anyonecanscience.com\/index.php\/2020\/09\/11\/hawking-radiation-and-the-rise-and-fall-of-the-black-hole-era\/\" \/>\n<meta property=\"og:site_name\" content=\"Science You Can Bring Home To Mom\" \/>\n<meta property=\"article:published_time\" 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