Charlie Stromeyer Jr.
Jul5-04, 05:47 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>I\'m still trying to think some about the questions asked regarding Y.\nZunger\'s paper but, in the meantime, I also looked at some literature\nabout the other five CMI Millennium Problems besides the two I had\nalready mentioned in this newsgroup (which were the quantum YM problem\nand the P=?NP problem). Assuming that each of these problems should be\nsolvable, I would not be surprised if the solution to each problem\nwould include a non-trivial use of notions about sequence, infinity\nand limits.\n\nThese notions have already been used by the Russian mathematician,\nGrisha Perelman, in his Ricci flow (like some renormalization group or\nRG techniques) approach to Thurston\'s geometrization classification\nidea. According to [1] and [2] it still seems that Perelman may have\nsucceeded with his approach which would also include within it a\nsolution to the long-standing Poincare Conjecture which is one of the\nother five CMI Millennium Problems.\n\nIn his first paper about his Ricci flow approach to classifying\nthree-manifolds [2], Perelman briefly mentions some possible links\nwith string theory, GTR or other mathematical physics. Some readers of\nthis newsgroup perhaps might be interested to know that other authors\nhave since explored some of these possible links in papers\n[hep-th/0306279 and 0312274, gr-qc/0208079 and 0309132,\nmath-ph/0307007 and 0307010].\n\n\n[1]\n\nhttp://www.sciam.com/article.cfm?chanID=sa006&colID=1&articleID=00010B29-74F2-10CF-B4F283414B7F0000\n\n[2] http://www.lsa.umich.edu/research/ricciflow/perelman.html\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>I'm still trying to think some about the questions asked regarding Y.
Zunger's paper but, in the meantime, I also looked at some literature
about the other five CMI Millennium Problems besides the two I had
already mentioned in this newsgroup (which were the quantum YM problem
and the P=?NP problem). Assuming that each of these problems should be
solvable, I would not be surprised if the solution to each problem
would include a non-trivial use of notions about sequence, infinity
and limits.
These notions have already been used by the Russian mathematician,
Grisha Perelman, in his Ricci flow (like some renormalization group or
RG techniques) approach to Thurston's geometrization classification
idea. According to [1] and [2] it still seems that Perelman may have
succeeded with his approach which would also include within it a
solution to the long-standing Poincare Conjecture which is one of the
other five CMI Millennium Problems.
In his first paper about his Ricci flow approach to classifying
three-manifolds [2], Perelman briefly mentions some possible links
with string theory, GTR or other mathematical physics. Some readers of
this newsgroup perhaps might be interested to know that other authors
have since explored some of these possible links in papers
[http://www.arxiv.org/abs/hep-th/0306279 and 0312274, http://www.arxiv.org/abs/gr-qc/0208079 and 0309132,
http://www.arxiv.org/abs/math-ph/0307007 and 0307010].
[1]
http://www.sciam.com/article.cfm?chanID=sa006&colID=1&articleID=00010B29-74F2-10CF-B4F283414B7F0000
[2] http://www.lsa.umich.edu/research/ricciflow/perelman.html
Zunger's paper but, in the meantime, I also looked at some literature
about the other five CMI Millennium Problems besides the two I had
already mentioned in this newsgroup (which were the quantum YM problem
and the P=?NP problem). Assuming that each of these problems should be
solvable, I would not be surprised if the solution to each problem
would include a non-trivial use of notions about sequence, infinity
and limits.
These notions have already been used by the Russian mathematician,
Grisha Perelman, in his Ricci flow (like some renormalization group or
RG techniques) approach to Thurston's geometrization classification
idea. According to [1] and [2] it still seems that Perelman may have
succeeded with his approach which would also include within it a
solution to the long-standing Poincare Conjecture which is one of the
other five CMI Millennium Problems.
In his first paper about his Ricci flow approach to classifying
three-manifolds [2], Perelman briefly mentions some possible links
with string theory, GTR or other mathematical physics. Some readers of
this newsgroup perhaps might be interested to know that other authors
have since explored some of these possible links in papers
[http://www.arxiv.org/abs/hep-th/0306279 and 0312274, http://www.arxiv.org/abs/gr-qc/0208079 and 0309132,
http://www.arxiv.org/abs/math-ph/0307007 and 0307010].
[1]
http://www.sciam.com/article.cfm?chanID=sa006&colID=1&articleID=00010B29-74F2-10CF-B4F283414B7F0000
[2] http://www.lsa.umich.edu/research/ricciflow/perelman.html