{"id":1104,"date":"2005-10-18T10:03:30","date_gmt":"2005-10-18T17:03:30","guid":{"rendered":"http:\/\/dabacon.org\/pontiff\/?p=1104"},"modified":"2005-10-18T10:03:30","modified_gmt":"2005-10-18T17:03:30","slug":"1104","status":"publish","type":"post","link":"https:\/\/dabacon.org\/pontiff\/2005\/10\/18\/1104\/","title":{"rendered":"2 -&#062; 4"},"content":{"rendered":"<p>Via the amazing John Baez&#8217;s <a href=\"http:\/\/math.ucr.edu\/home\/baez\/week222.html\">Week 222<\/a> of  &#8220;This Week&#8217;s Finds in Mathematical Physics&#8221; I find this paper &#8220;Fractal Spacetime Structure in Asymptotically Safe Gravity&#8221; by O. Lauscher, M. Reuter:<\/p>\n<blockquote><p>\nAbstract:Four-dimensional Quantum Einstein Gravity (QEG) is likely to be an asymptotically safe theory which is applicable at arbitrarily small distance scales. On sub-Planckian distances it predicts that spacetime is a fractal with an effective dimensionality of 2. The original argument leading to this result was based upon the anomalous dimension of Newton&#8217;s constant. In the present paper we demonstrate that also the spectral dimension equals 2 microscopically, while it is equal to 4 on macroscopic scales. This result is an exact consequence of asymptotic safety and does not rely on any truncation. Contact is made with recent Monte Carlo simulations.\n<\/p><\/blockquote>\n<p>Hmm..Yet another paper pointing towards a spacetime which is two dimensional at microscopic scales and four dimensional at large scales.  Of course I&#8217;m told that if they add matter to these theories all hell will break lose.  It will be interesting to see what hell looks like.  <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Via the amazing John Baez&#8217;s Week 222 of &#8220;This Week&#8217;s Finds in Mathematical Physics&#8221; I find this paper &#8220;Fractal Spacetime Structure in Asymptotically Safe Gravity&#8221; by O. Lauscher, M. Reuter: Abstract:Four-dimensional Quantum Einstein Gravity (QEG) is likely to be an asymptotically safe theory which is applicable at arbitrarily small distance scales. On sub-Planckian distances it &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/dabacon.org\/pontiff\/2005\/10\/18\/1104\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;2 -&#062; 4&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[53],"tags":[],"class_list":["post-1104","post","type-post","status-publish","format-standard","hentry","category-physics"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts\/1104","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/comments?post=1104"}],"version-history":[{"count":0,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts\/1104\/revisions"}],"wp:attachment":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/media?parent=1104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/categories?post=1104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/tags?post=1104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}