Hi, yes indeed he has pondered a very good paper about his researchs. These maths are a tool and permit to go deeper in the actual general relativity.
Now like I said all is a question of philosophy about the origin of the universe and about what are the foundamental objects. This E8 and other geometrical algebras correlated with the strings or pounts in 1D permit to create topologies, geometries ,...with the fields and so the connection is made between a kind of 1D comsic field of this GR and this planck scale and 1D.
The big actual questionj so is , must we consider this general reasoning to explain our emergent geometries or must we consider a deeper logic superimposed to this GR. Like I explained I consider 3 main spacetimes , one that we observe the photonic one and the two others that we can add , the cold dark matter and the dark energy anti gravitational. Personally I beleive that we just analyse this luniniferous aether actually and so we play with maths to explain our reality and the emergent baryonic matter.
But my humble reasoning can be true also, if we have these 3 main ethers merging together and that we have these 3D spheres like foundamental objects, the deformations of these 3D spheres with the symplectomorphisms preserving the volumes can be also a reality. The cold dark matter has a mass non baryonic and the photons are massless, so the fact to consider this dark energy possessing the main codes and that the cold dark matter and the photons merge with this space vacuum coded , so can explain all our actual fields and matters of our standard model.
I know that the persons working about this E8 have difficulties to accept my theory , It is logic they have worked hard and are persuaded about their general correlated philosophy. That implies that I am a problem, but there is a conjecture between all this , the strings , the dimensions, the 3D ,l the spheres , the 3 ethers. Frankly I doubt that this universe has only created photons and that the universe, god or not oscillate the photons at this planck scale to create this ordinary matter. Personally we need these 3 ethers and furthermore there are important ontological and philosophical problems considering only the photons and the strings or points. That does not explain the evolution and nor the fact that we are under a specific system made of particles not emerging but foundamental in a kind of superfluidity. This E8 can be utilised it seems a very good mathematical tool, I am not against this, I just tell that we can utilise 3 E8 superimposed and replace the strings by the 3D spheres and their series finite primoridal.
So the conjecture can appear in sorting the parameters in all this puzzle. If the thinkers focus on my humble theory, it can be very revolutionary, for this, they must forget maybe a little bit their persuaded philosophy and think beyond this box of the relativity. The photons are just a tool for the universe, they are quanta of Energy permitting the observations of this photonic space time , they permit the heat and electromagnetic quantum forces of our ordinary matter , but we need this cold dark matter and this DE to better understand this standard model and our cosmological scale. The photons even with the higgs mechanism need a mass somewhere, and this cold dark matter encoded explain the quantum gravitation, th antiparticles and the mass with the higgs added and photons, it is really the fact that all the 3 spacetimes merge wich is essential.
Furthermore the life deaths and the evolution and deepe philosophical questions arrive with my humble reasoning. I prefer to not explain my assumptions about the body mind soul problem and the evolution but the fact that these DM and photons merge with the DE explain the continutity of souls maybe also , and the DM disponble at this cosmological scale explains the evolution and the DE also. The DM and DE are different than these phtons and don t come for me from this GR.
ps congrats jonathan, you are a specialist of all this and the philosophy also is interesting, I just try to give a different general road about the philosophy , friendly
Regards