Comments on: Monstrous frustrations http://www.neverendingbooks.org/index.php/monstrous-frustrations.html lieven le bruyn's blog Wed, 28 Jul 2010 16:42:15 +0200 hourly 1 http://wordpress.org/?v=3.0 By: mark a. thomas http://www.neverendingbooks.org/index.php/monstrous-frustrations.html/comment-page-1#comment-5942 mark a. thomas Thu, 21 Aug 2008 01:42:46 +0000 http://www.neverendingbooks.org/?p=432#comment-5942 <p>I am not sure about finding a moonshine connection with the numbers 7.916138...<em>10^38 and 1.5759188...</em>10^39 but both of these numbers are close to the important physics large numbers in the range ~10^40 (dimensionless) as expounded upon by Dirac and Harrison. Basically it is a physics form hbar<em>c/Gm1m2 ~ 10^40 where m1 and m2 could be nucleon masses say a proton to proton or neutron to proton or electron masses. If you invert the relation you get a form not too unrelated to Newton's gravity form Gm1m2/hbar</em>c ~ 10^-39. A very very small and weak form of gravity indeed (and dimensionless). (Currently, string physicists use the form 1/Mpl^2 ~ 10^-39 (Mpl = planck mass) to show that gravity is weak at the electroweak end of the scale but notice it is still dimensionful.) What makes these physics forms interesting is that they contain constants involving both quantum and relativity. And besides the 10^40 representing possibly the stronger gauge couplings (invert to gravity weakness) 10^40 also represents the classically large distances of the Hubble length compared to a proton size. Strange stuff. Myself, I believe that the correct form uses the neutron mass squared as Mpl^2/mn^2 = 1.6889...<em>10^38 (dimensionless)which is also hbar</em>c/Gmnmn. I have good reasons for this as it is involved in a physics calculation of the monster symmetry.</p> <p>(4/a^4)(Mpl^2/me^2)[((Mpl^2/mn^2)^1/2^16 -1.00)^-1]^1/2^11 = 8.0801742...*10^53</p> I am not sure about finding a moonshine connection with the numbers 7.916138…10^38 and 1.5759188…10^39 but both of these numbers are close to the important physics large numbers in the range ~10^40 (dimensionless) as expounded upon by Dirac and Harrison. Basically it is a physics form hbarc/Gm1m2 ~ 10^40 where m1 and m2 could be nucleon masses say a proton to proton or neutron to proton or electron masses. If you invert the relation you get a form not too unrelated to Newton’s gravity form Gm1m2/hbarc ~ 10^-39. A very very small and weak form of gravity indeed (and dimensionless). (Currently, string physicists use the form 1/Mpl^2 ~ 10^-39 (Mpl = planck mass) to show that gravity is weak at the electroweak end of the scale but notice it is still dimensionful.) What makes these physics forms interesting is that they contain constants involving both quantum and relativity. And besides the 10^40 representing possibly the stronger gauge couplings (invert to gravity weakness) 10^40 also represents the classically large distances of the Hubble length compared to a proton size. Strange stuff. Myself, I believe that the correct form uses the neutron mass squared as Mpl^2/mn^2 = 1.6889…10^38 (dimensionless)which is also hbarc/Gmnmn. I have good reasons for this as it is involved in a physics calculation of the monster symmetry.

(4/a^4)(Mpl^2/me^2)[((Mpl^2/mn^2)^1/2^16 -1.00)^-1]^1/2^11 = 8.0801742…*10^53

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