9 problems

In relativistic particle physics, approximate symmetries may be observed even when the underlying theory has an exact symmetry. Nambu's conjecture. Some of the approximate symmetri…

The Standard Model of quarks and leptons is the particle-physics model whose symmetry description traditionally uses binary Lie groups. A binary Lie group is an ordinary Lie group,…

Let a preon be a constituent of a superordinate preon, and let the constituent structure use a number of hyperspheres. Let the kissing number of a space be the maximum number of no…

Mersennian preon charge model. Preons of order $f_{n+1}$ are either up-type or down-type, with charges transforming according to

Uniform observable-coloring conjecture. There is a family $\mathcal F$ of observable colorings with coefficients in $\mathbb Z[\zeta]$ such that every observable fundamental partic…

Let resonance widths be the widths associated with unstable particle resonances, and let a fundamental time unit denote a smallest time scale. Ehrlich's resonance-width conjecture.…

Let $\ell$ denote the fundamental length scale of the space-time algebra, and let the Planck scale be the characteristic length scale of quantum gravity. Scale-separation conjectur…

The paper proposes particles associated with the Lie algebra $\mathbf{E}_{6}$ and its folding in $\mathbf{F}_{4}$, which would be observed only through splitting and ghost effects…

Conjecture on particle-physics applications. Such pseudo-Hermitian, and in particular $\mathcal{PT}$-symmetric, models may have important applications in particle physics.