Thank you for your interest in my speculations.
Note the following:
Q(в€љ(-5)) has class number 2 & 5 is congruent to -19 modulo 24
Q(в€љ(-23)) has class number 3 & 23 is congruent to -1 modulo 24
Q(в€љ(-47)) has class number 5 & 47 is congruent to -1 modulo 24
Q(в€љ(-71)) has class number 7 & 71 is congruent to -1 modulo 24
Q(в€љ(-167)) has class number 11 & 167 is congruent to -1 modulo 24
Q(в€љ(-191)) has class number 13 & 191 is congruent to -1 modulo 24
Q(в€љ(-383)) has class number 17 & 383 is congruent to -1 modulo 24
Q(в€љ(-311)) has class number 19 & 311 is congruent to -1 modulo 24
Q(в€љ((-647)) has class number 23 & 647 is congruent to -1 modulo 24
http://www.numbertheory.org/classnos/ "Tables of imaginary quadratic fields with small class numbers"]
The prime numbers that divide the order of the monster group are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, & 71
http://en.wikipedia.org/wiki/Monster_group
I conjecture that the preceding 9 facts about the class number of imaginary quadratic number fields have some profound meaning in terms of the foundations of physics.
Note that 1728 = (2^6) * (3^3) = (2^3) * (6^3)
I conjecture that the (2^3) represents Gell-Mann's Eightfold Way and the (6^3) represents 6 dimensions of gravitational freedom vibrating at 3 energy-density levels.
http://en.wikipedia.org/wiki/1728_(number)
http://en.wikipedia.org/wiki/Eightfold_Way_(physics)
http://www.aneki.com/top_living_physicists.html
http://www.aneki.com/top_living_mathematicians.html
https://www.quantamagazine.org/20150312-mathematicians-chase-moonshines-shadow/