Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos
arXiv:1905.12419
Abstract
Models with two right-handed neutrinos are able to accommodate solar and atmospheric neutrino oscillation observations as well as a mechanism for the baryon asymmetry of the universe. While economical in terms of the required new states beyond the Standard Model, given that there are three generations of the other leptons and quarks this raises the question concerning why only two right-handed neutrino states should exist. Here we develop from first principles a fundamental unification scheme based upon a direct generalisation and analysis of a simple proper time interval with a structure beyond that of local 4-dimensional spacetime and further augmenting that of models with extra spatial dimensions. This theory leads to properties of matter fields that resemble the Standard Model, with an intrinsic left-right asymmetry which is particularly marked for the neutrino sector. It will be shown how the theory can provide a foundation for the natural incorporation of two right-handed neutrinos and may in principle underlie firm predictions both in the neutrino sector and for other new physics beyond the Standard Model. While connecting with contemporary and future experiments the origins of the theory are motivated in a similar spirit as for the earliest unified field theories.
68 pages, 2 figures
References in corpus (11)
- TASI Lectures on Extra Dimensions and Branes
- An Exceptionally Simple Theory of Everything
- Minimal Composite Higgs Models at the LHC
- Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
- Jordan C*-Algebras and Supergravity
- The Early Years of String Theory: A Personal Perspective
- Construction of a Kaluza-Klein type Theory from One Dimension
- E6, the Group: The structure of SL(3,O)
- Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square
- Time, E8, and the Standard Model
- A composite tale of two right-handed neutrinos