Singletons and Neutrinos

TL;DR

This paper reviews 30 years of research on singletons in anti-De Sitter space, explores their role in massless particles and cosmology, and proposes new ideas linking neutrino oscillations to composite lepton structures.

Contribution

It introduces a novel framework connecting singletons to neutrino phenomenology and suggests an expanded Standard Model with a richer Higgs sector and new heavy vector mesons.

Findings

Singletons can form the basis of massless particles.

Neutrino oscillations may indicate composite lepton states.

An expanded Higgs sector and flavor-changing symmetries are plausible.

Abstract

The first half is a rapid review of 30 years of work on physics in anti-De Sitter space, with heavy emphasis on singletons. Principal topics are the kinematical basis for regarding singletons as the constituents of massless particles, and the effect of (negative) curvature in the infrared domain. Ideas that lead to an alternative to Big Bang cosmology are merely sketched. The second half presents new ideas inspired by experimental results on neutrino oscillations. Since leptons are massless before symmetry breaking it is natural to view them as composite states consisting of one Bose singleton (the Rac) and one Fermi singleton (the Di). This gives rise to a particular formulation of the phenomenology of electroweak physics, and strong suggestions for an expansion of the Standard model. An expansion of the Higgs sector seems inevitable, and flavor changing symmetry, complete with a new set of heavy vector mesons, is a very attractive possibility.