Alejandro
Nov9-04, 10:59 AM
<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>Lenz\'s equation\nM(proton)/M(electron)= 6 pi^5,\nwas published in Phys. Rev. 82, 554 (1951) and, as\nsome news readers can reminder, it was postulated\nindependently by Lubos a couple years ago. Now I have\nfound that I.J. Good visited this equation in the\nlate sixties and revisited it in the late nineties. This\nlater article is available in the net,\nhttp://www.statslab.cam.ac.uk/~grg/books/hammfest/9-jg.ps\nand it contains two interesting remarks.\n\n1) The first one is that the simplest geometrical way to\nevocate the equation is to use 10-dimensional space. Namely,\n6 pi^5 is 6! times the quotient between a ten dimensional sphere\nof radius k and a ten dimensional cube of size k.\n\nhere I advance a pair of naive suggestions:\n\na) It has some sense to think about if this ten dimensional object comes\nfrom strings, because the mass of the proton is expected to come\nbasically from the QCD string, and the question should be how the\nhadronic string relates to the ten dimensional string.\n\nb) The 6! permutation factor, that Good is unable of justify, could come\nfrom the process of compactification of the extra 6 dimensions.\n\n\n2) The discrepancy with reality can be absorbed in a factor\ntanh^-1(alpha)/alpha, being alpha the fine structure constant. Some\nrelativisting grounding for this correction is suggested by Good in\nthe article. Besides, let me to note that HdV and myself have meet\nsome sinh(...) relations in our numerological quest over physicsforums.\n\nIf only for fun, please take a look to Lenz article!\n\nAlejandro Rivero\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>Lenz's equation
M(proton)/M(electron)= 6 \pi^5,
was published in Phys. Rev. 82, 554 (1951) and, as
some news readers can reminder, it was postulated
independently by Lubos a couple years ago. Now I have
found that I.J. Good visited this equation in the
late sixties and revisited it in the late nineties. This
later article is available in the net,
http://www.statslab.cam.ac.uk/~grg/books/hammfest/9-jg.ps
and it contains two interesting remarks.
1) The first one is that the simplest geometrical way to
evocate the equation is to use 10-dimensional space. Namely,
6 \pi^5 is 6! times the quotient between a ten dimensional sphere
of radius k and a ten dimensional cube of size k.
here I advance a pair of naive suggestions:
a) It has some sense to think about if this ten dimensional object comes
from strings, because the mass of the proton is expected to come
basically from the QCD string, and the question should be how the
hadronic string relates to the ten dimensional string.
b) The 6! permutation factor, that Good is unable of justify, could come
from the process of compactification of the extra 6 dimensions.
2) The discrepancy with reality can be absorbed in a factor
tanh^-1(\alpha)/\alpha, being \alpha the fine structure constant. Some
relativisting grounding for this correction is suggested by Good in
the article. Besides, let me to note that HdV and myself have meet
some sinh(...) relations in our numerological quest over physicsforums.
If only for fun, please take a look to Lenz article!
Alejandro Rivero
M(proton)/M(electron)= 6 \pi^5,
was published in Phys. Rev. 82, 554 (1951) and, as
some news readers can reminder, it was postulated
independently by Lubos a couple years ago. Now I have
found that I.J. Good visited this equation in the
late sixties and revisited it in the late nineties. This
later article is available in the net,
http://www.statslab.cam.ac.uk/~grg/books/hammfest/9-jg.ps
and it contains two interesting remarks.
1) The first one is that the simplest geometrical way to
evocate the equation is to use 10-dimensional space. Namely,
6 \pi^5 is 6! times the quotient between a ten dimensional sphere
of radius k and a ten dimensional cube of size k.
here I advance a pair of naive suggestions:
a) It has some sense to think about if this ten dimensional object comes
from strings, because the mass of the proton is expected to come
basically from the QCD string, and the question should be how the
hadronic string relates to the ten dimensional string.
b) The 6! permutation factor, that Good is unable of justify, could come
from the process of compactification of the extra 6 dimensions.
2) The discrepancy with reality can be absorbed in a factor
tanh^-1(\alpha)/\alpha, being \alpha the fine structure constant. Some
relativisting grounding for this correction is suggested by Good in
the article. Besides, let me to note that HdV and myself have meet
some sinh(...) relations in our numerological quest over physicsforums.
If only for fun, please take a look to Lenz article!
Alejandro Rivero