lazy weekend blogging (1) : after Kronecker’s
“Die ganzen Zahlen hat der liebe Gott gemacht, alles andere
ist Menschenwerk.”
and after the original from Abstruse Goose.
lieven le bruyn's blog
“Die ganzen Zahlen hat der liebe Gott gemacht, alles andere
ist Menschenwerk.”
and after the original from Abstruse Goose.
I’ll probably regret this. I love playing around with very large numbers. In fact I am very good at it. It is true that one can find all sorts of relations which look somewhat coincidental and in fact most of it is coincidental with there being no actual relationship being found 99.999% of the time. It is the realm of crackpots and maybe I am one. A historical exception to this was Mckay’s observation 196883 +1=196884 which turned out to literally be phenomenal. I have mentioned before that the dimensionless large numbers in the 10^40 area, specifically semiclassical physics forms which can be related to the inverse of this large number 10^-39 (which is related to the weakness of gravity to the other gauge forces) are somehow related to large order of the Monster. The specific physics form that is interesting in this matter is: hc/2piGm^2 = 1.6889…10^38 (m= neutron mass). The inverse of this is similar to the Newtonian potential between two neutrons but with the addition of h and c in the potential. This relation is probably a very very large integer although I cannot prove it. But…look at this. (640320^3 +744)^2 *70^2 = 3.37736…10^38 (I spare writing the whole integer here). Kinda of moonshiney looking is it not? If you divide this by 2 you obtain the integer 1.68868…*10^38. (again an integer). As you may know 640320^3 +744 is very nearly Ramanujan’s constant (historically the named constant is a hoax but then it does relate to Ramanujan’s work). Again although I have suspected that hc/2piGm^2 is an integer I cannot prove it. However, let me point out another symmetry relation: hc/2piGm^2 = Mp^2/m^2 (where Mp = Planck mass and m = neutron mass) This makes large order entropy calculations very easy in black hole physics (for me anyway) since a lot of symmetry is involved. Although I know this is crazy stuff the calculation is so close that my feeling on it is that it is possibly true. And I have wasted a lot of time looking at near coincidental math so I have experience(in wasted time). If this physics form is indeed an integer then it is perhaps at the crossroads of physics and mathematics?
mark a. thomas
1 May 09 at 11:11 pm