String theory, ahem.
Basically, all particles are not pointlike, but vibrating strings of energy. The vibration denotes the properties of the particle. Strings can actually be “branes”, not just an infinitely thin string, but more of a doughnut, or even higher dimensions.
Calabi-Yau space, this is the idea of not just having our 3 extended spatial dimensions, but also another 6-7 curled up really small (plank length magnitude). The shape of this space determines the physics that we see. Having 3 holes in it brings up 3 families of particles, and other stuff.
A 2d visualisation of 10D space? hehe, worth a try. 4d is the highest I have made in blender, and that was a real cheat. Look for tesseract java applets, you can rotate a 4d cube through a fourth dimension of space.
I understand that Calabi-Yau space is characterized by the existence of a nonvanishing harmonic spinor …which implies that its canonical bundle is trivial.
I have to confess, I understand a bit about calabi-yau space in the basics of string theory, so I cant respond to this until I have done some more research.
No need to worry about space tearing. When the tear occurs, if a string surrounds it, then space mends itself. The equations are far beyond me so I wont even attempt to find them.
You may think that we would be doomed if there wasnt a string there. But we know from QM that particles seek every possible path, so there is always a string in place. The tearing of space is just theoretical, so I dont know the practicalities of this.
I am certain it is conifold, but cant find it at the moment, so will get back to you on that one.
I dont think it is to do with fermions in particular, other than it gives rise to them
Damn its late and I am knackered. Forthwith, I shall retreat to my cave.
what else was there? Oh yes
SHAME ON YOU, YOU SPAMMING MODERATORS
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