This is a giant field that has a complicated history on which I am not an expert. I studied pute mathematics and not physics in college. The idea that the universe is S4(1/h) came out of some inspiration I had in 2008 in Brooklyn. The idea occurred from thinking back to 1900 what would have resolved the problem of the blackbody problem. If all that is necessary is quantization of energy, this can be explained by a spherical universe. The problem is how many dimensions and the obvious answer is four dimensions, macroscopic. If one then takes the leap of faith of accepting a fourth macroscopic dimension, then it’s easy to see that something like the gravitational field equations occur when taking the Ricci curvature of any hypersurface whatsoever with a cosmological constant. This is purely geometric intuition. So it seemed right and I still have not managed to educate myself on quantum gravity in physics because I was too sure that gravity would just make sense in this model but these are nontrivial issues. So I wasted 2008-16, eight years on this wild goose chase. Well better physicists have spent their lives on their own wild goose chases so this is not the end of the world, but yes, quantum gravity, B. de Witt has a great deal more to say (dewitt-quantumgravity). The folks at Classical and Quantum Gravity don’t respect me, which is reasonable since I was suggesting that quantum gravity is a fairy tale because gravity and quantization are some simple mathematical consequences of a four-sphere physics. Emersonian adherence to sticking to intuition before it is proved seemed appropriate. I am sorry but mathematical complexity does not equate to laws of nature. Renormalization issues are too ugly to be right.
Archive for October, 2016
My model for our actual universe is a hypersurface of a round four-sphere. In general, for generic metrics on closed spin three-manifolds, there are no harmonic spinors by anghel-genericvanishingtwisteddiracharmonicspinorsammann-dahl-humbert-surgeryharmonicspinors. Thus for generic hypersurfaces of the four-sphere, the kernel of the Dirac operator is zero, i.e. there are no massless fermions. So I think that the recent discovery of apparently massless Weyl fermions is probably a repetition of the error when neutrinos were considered massless on discovery. I don’t believe that there can be massless fermions in the actual universe.