M⁸-H Duality and the Two Manners to Describe Particles

The chapter TGD view about McKay Correspondence, ADE Hierarchy, Inclusions of Hyperfinite Factors, and Twistors summarizes a considerable in TGD. I found it convenient to isolate the part of paper related to the notion of particle mass to a separate article. The basic new result is that M⁸-H duality allows to see particles in two manners. In M⁸ picture particles are massive and correspond to a fixed M⁴ subset M⁸: in this case symmetry group os $SO(4)$: this could correspond to low energy hadron physics. In H=M⁴× CP₂ picture particles are massless and symmetry group is SU(3): this picture would correspond to high energy hadron physics with massless quarks and gluons. It is shown that p-adic mass calculations performed M⁴× CP₂ picture are consistent with the massless of the particles: in zero energy ontology (ZEO) it is possible to have quantum superpositions of particles with different mass and this is consistent with the description of the situation in terms of p-adic thermodynamics.

See the chapter Massless particles and particle massivation or the article M⁸-H Duality and the Two Manners to Describe Particles.