{"id":114,"date":"2010-05-14T01:42:02","date_gmt":"2010-05-14T00:42:02","guid":{"rendered":"http:\/\/www.quantum-bits.org\/?p=112"},"modified":"2015-08-10T16:09:39","modified_gmt":"2015-08-10T15:09:39","slug":"smarter-than-tony-stark","status":"publish","type":"post","link":"https:\/\/www.quantum-bits.org\/?p=114","title":{"rendered":"Smarter than Tony Stark"},"content":{"rendered":"<table width='100%'>\n<tr>\n<td>\nWell, I wish I were&#8230; Anyhoo, I went to the movies and saw <a href='http:\/\/en.wikipedia.org\/wiki\/Iron_Man_2' target='_new'>Iron Man II<\/a> a few hours ago. Slightly disappointing, maybe because I was expecting much from <a href='http:\/\/en.wikipedia.org\/wiki\/Don_Cheadle' target='_new'>Don Cheadle<\/a> and <a href='http:\/\/en.wikipedia.org\/wiki\/Mickey_Rourke' target='_new'>Mickey Rourke<\/a>, and, well, because the french speaking scenes were so totally weird (I had no idea that people from Monaco were speaking with such a strong <a href='http:\/\/en.wikipedia.org\/wiki\/Qu%C3%A9b%C3%A9cois' target='_new'>Qu\u00e9b\u00e9cois<\/a> accent&#8230;).<\/td>\n<td valign='top'>\n<div align='right'><img src='http:\/\/quantum-bits.org\/wp-content\/uploads\/2010\/05\/tango-penguins-marvel.png' alt='qbits-post.png' \/><\/div>\n<\/td>\n<\/tr>\n<\/table>\n<p>But that is not the point of this post. I saw the film through my geeky eyes, and I was stricken by a particular scene.<\/p>\n<p>Okay, this is just a small detail that caught my attention. I&#8217;m weird. I know. I (kind of) assume it.<\/p>\n<p>Usually, the laws of physics don&#8217;t apply in Hollywood movies, and especially in <a href='http:\/\/en.wikipedia.org\/wiki\/Super_hero' target='_new'>superhero<\/a> movies, including this one. But, at one point, <a href='http:\/\/en.wikipedia.org\/wiki\/Iron_Man' target='_new'>Tony Stark<\/a> is given by <a href='http:\/\/en.wikipedia.org\/wiki\/Nick_Fury' target='_new'>Nick Fury<\/a> a suitcase containing a few old films and notes from his father (<a href='http:\/\/en.wikipedia.org\/wiki\/Howard_Stark' target='_new'>Howard Stark<\/a>)<\/p>\n<p>Here&#8217;s a shot from the film, focusing on the notes :<\/p>\n<div align='center'><img src='http:\/\/quantum-bits.org\/wp-content\/uploads\/2010\/05\/ironman.png' \/><\/div>\n<p>&nbsp;<\/p>\n<p>The circled formula is what caught my eyes and triggered an intense googling effort to find this shot and check if I was indeed crazy (or not). It reads as follows:<\/p>\n<div align='center' style='position:relative;top:-6px'>\n<img src='https:\/\/s0.wp.com\/latex.php?latex=R_%7B%5Cmu%5Cnu%7D+%3D+K+%5Cleft%28T_%7B%5Cmu%5Cnu%7D+-+%5Cfrac%7B1%7D%7B2%7D+T+g_%7B%5Cmu%5Cnu%7D%5Cright%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='R_{\\mu\\nu} = K \\left(T_{\\mu\\nu} - \\frac{1}{2} T g_{\\mu\\nu}\\right)' title='R_{\\mu\\nu} = K \\left(T_{\\mu\\nu} - \\frac{1}{2} T g_{\\mu\\nu}\\right)' class='latex' \/><\/div>\n<p>which is accurate, as it is a &#8220;trace-reversed&#8221; form of actual Einstein&#8217;s field equations:<\/p>\n<div align='center' style='position:relative;top:-5px'><img src='https:\/\/s0.wp.com\/latex.php?latex=R_%7B%5Cmu%5Cnu%7D+%3D+%5Cfrac%7B8%5Cpi+G%7D%7Bc%5E4%7D+%5Cleft%28T_%7B%5Cmu%5Cnu%7D+-+%5Cfrac%7B1%7D%7B2%7D+T+g_%7B%5Cmu%5Cnu%7D%5Cright%29%2B%5CLambda+g_%7B%5Cmu%5Cnu%7D+&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='R_{\\mu\\nu} = \\frac{8\\pi G}{c^4} \\left(T_{\\mu\\nu} - \\frac{1}{2} T g_{\\mu\\nu}\\right)+\\Lambda g_{\\mu\\nu} ' title='R_{\\mu\\nu} = \\frac{8\\pi G}{c^4} \\left(T_{\\mu\\nu} - \\frac{1}{2} T g_{\\mu\\nu}\\right)+\\Lambda g_{\\mu\\nu} ' class='latex' \/><\/div>\n<p>where the <a href='http:\/\/en.wikipedia.org\/wiki\/Einstein_field_equations' target='_new'>Cosmological Constant<\/a> (<img src='https:\/\/s0.wp.com\/latex.php?latex=%5CLambda&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\\Lambda' title='\\Lambda' class='latex' \/>) would have been omitted.<\/p>\n<p>Usually, Einstein&#8217;s field equations are written under this form:<\/p>\n<div align='center' style='position:relative;top:-8px'>\n<table>\n<tr>\n<td><img src='https:\/\/s0.wp.com\/latex.php?latex=G_%7B%5Cmu%5Cnu%7D++%2B+%5CLambda+g_%7B%5Cmu%5Cnu%7D+%3D+%5Cfrac%7B8%5Cpi+G%7D%7Bc%5E4%7D++T_%7B%5Cmu%5Cnu%7D+&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G_{\\mu\\nu}  + \\Lambda g_{\\mu\\nu} = \\frac{8\\pi G}{c^4}  T_{\\mu\\nu} ' title='G_{\\mu\\nu}  + \\Lambda g_{\\mu\\nu} = \\frac{8\\pi G}{c^4}  T_{\\mu\\nu} ' class='latex' \/><\/td>\n<td valign='middle'>&nbsp;where&nbsp;<\/td>\n<td><img src='https:\/\/s0.wp.com\/latex.php?latex=G_%7B%5Cmu%5Cnu%7D++%3D+R_%7B%5Cmu%5Cnu%7D+-+%5Cfrac%7B1%7D%7B2%7D++Rg_%7B%5Cmu%5Cnu%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G_{\\mu\\nu}  = R_{\\mu\\nu} - \\frac{1}{2}  Rg_{\\mu\\nu}' title='G_{\\mu\\nu}  = R_{\\mu\\nu} - \\frac{1}{2}  Rg_{\\mu\\nu}' class='latex' \/><\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p>or under this simpler and incredibly beautiful form (neglecting the cosmological constant):<\/p>\n<div align='center' style='position:relative;top:-5px'><img src='https:\/\/s0.wp.com\/latex.php?latex=G_%7B%5Cmu%5Cnu%7D++%3D+%5Cfrac%7B8%5Cpi+G%7D%7Bc%5E4%7D++T_%7B%5Cmu%5Cnu%7D+&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G_{\\mu\\nu}  = \\frac{8\\pi G}{c^4}  T_{\\mu\\nu} ' title='G_{\\mu\\nu}  = \\frac{8\\pi G}{c^4}  T_{\\mu\\nu} ' class='latex' \/><\/div>\n<p>The rest of the notes apparently deal with the conservation of energy-momentum <img src='https:\/\/s0.wp.com\/latex.php?latex=T%5E%7Bab%7D%3Bb+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='T^{ab};b = 0' title='T^{ab};b = 0' class='latex' \/> and other simple properties of <a href='http:\/\/en.wikipedia.org\/wiki\/General_relativity' target='_new'>General Relativity<\/a>.<\/p>\n<p>Whatever the meaning of all these equations is (got one post on General Relativity in preparation), what is truly remarkable is that:<\/p>\n<ul>\n<li style='list-style: square inside;  color:#aaaaaa;'><font color='#666666'>From what can be read, it seems to be accurate. These are quite probably extracts from a graduate student textbook on General Relativity<\/font><\/li>\n<li style='list-style: square inside;  color:#aaaaaa;'><font color='#666666'>The producers took the time to hire someone to write down actual physics, which is pretty cool<\/font><\/li>\n<li style='list-style: square inside;  color:#aaaaaa;'><font color='#666666'>The physics involved (<a href='http:\/\/en.wikipedia.org\/wiki\/Gravitational_field' target='_new'>gravitational field<\/a>) has quite probably nothing to do with an Arc Reactor (whatever this could be)&#8230;<br \/>\n<\/font><\/li>\n<\/ul>\n<p>&#8230; and this very last point makes me think that I may be smarter than Tony Stark, who doesn&#8217;t seem to mind at all. Which is bad news for a genius, since it is elementary physics. <\/p>\n<p>Now, since I have soooo brilliantly demonstrated that I am smarter than a super-genius, why isn&#8217;t there hot chicks dancing around in my apartment wearing iron-man suits\/bikinis ? Come on, where are the <a href='http:\/\/quantum-bits.org\/wp-content\/uploads\/2010\/05\/ironettes.png' rel='facebox'>Ironettes<\/a> ?<\/p>\n<p>Okay, I might not be as rich and attractive as Tony Stark \ud83d\ude41 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Well, I wish I were&#8230; Anyhoo, I went to the movies and saw Iron Man II a few hours ago. Slightly disappointing, maybe because I was expecting much from Don &#8230;<\/p>\n","protected":false},"author":1,"featured_media":864,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14,17,6,15],"tags":[],"_links":{"self":[{"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/posts\/114"}],"collection":[{"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=114"}],"version-history":[{"count":0,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/posts\/114\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=\/wp\/v2\/media\/864"}],"wp:attachment":[{"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.quantum-bits.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}