Speculations on the Neutrino Theory of Light

Acta Phys.Polon., 2010

Selected topics in the theory of neutrinos, discussed in last years, are presented. We shortly summarize properties of neutrinos in frame of the original Standard Model (SM) and give the experimental information about their masses and mixing. In the frame of the model with massive neutrinos, the so-called New SM (νSM), two controversial phenomena, the Mössbauer neutrinos problem and the GSI anomaly are explained. Beyond the SM (BSM) we focus on two issues, on the problem of small neutrino masses and large mixing in comparison to the quark sector and on how neutrino oscillation phenomena should be correctly described in the BSM.

A gauge theory without of divergencies (hence more specific than the effective Standard Model) has been proposed in 1997 by Just and Sucipto.

Reports on Progress in Physics, 2007

During 2004, four divisions of the American Physical Society commissioned a study of neutrino physics to take stock of where the field is at the moment and where it is going in the near and far future. Several working groups looked at various aspects of this vast field. The summary was published as a main report entitled "The Neutrino Matrix" accompanied by short 50 page versions of the report of each working group. Theoretical research in this field has been quite extensive and touches many areas and the short 50 page report [1] provided only a brief summary and overview of few of the important points. The theory discussion group felt that it may be of value to the community to publish the entire study as a white paper and the result is the current article. After a brief overview of the present knowledge of neutrino masses and mixing and some popular ways to probe the new physics implied by recent data, the white paper summarizes what can be learned about physics beyond the Standard Model from the various proposed neutrino experiments. It also comments on the impact of the experiments on our understanding of the origin of the matter-antimatter asymmetry of the Universe and the basic nature of neutrino interactions as well as the existence of possible additional neutrinos. Extensive references to original literature are provided.

Gravitation and Cosmology, 2014

In a previous paper we showed that Weyl equation possess superluminal solutions and moreover we showed that those solutions that are eigenstates of the parity operator seem to describe a coupled pair of a monopole anti-monopole system. This result suggests to look for a solution of Maxwell equation ∂F ∞ = −gJ with a current J as source and such that the Lorentz force on the current is null. We first identify a solution where J = γ 5 J m is a spacelike field (even if F is not a superluminal solution of the homogeneous Maxwell equation). More surprisingly we find that there exists a solution F of the free Maxwell ∂F = 0 that is equivalent to the non homogeneous equation for F ∞ . Once this result is proved it suggests by itself to look for more general subluminal and superluminal solutions F of the free Maxwell equation equivalent to a non homogeneous Maxwell equation for a field F 0 with a current term as source which may be subluminal or superluminal. We exhibit one such subluminal solution, for which the Dirac-Hestenes spinor field ψ associated the electromagnetic field F 0 satisfies a Dirac equation for a bradyonic neutrino under the ansatz that the current is ce λγ 5 gψγ 0ψ , with g the quantum of magnetic charge and λ a constant to be determined in such a way that the auto-force be null. Together with Dirac's quantization condition this gives a quantized *

We examine the value of certain concepts highly regarded in the past decade, that concern neutrino propagation, models for the leptonic mixing, interpretations of neutrinoless double beta dec\ ay and of SN1987A observations. We argue that it would useful to strengthen the role of the discussions among experts of neutrino physics, regarding the hypotheses underlying the theoretical investigations.

Assuming basic familiarity with neutrino physics, I give a telegraphic and panoramic view of the current status and the main open challenges in the field. I also illustrate how the mechanism responsible for neutrino mass generation may shed light upon some of the current puzzles in particle physics as well as cosmology * .

Annales de la Fondation Louis de Broglie. – 2002. – Vol. 27, № 2. – P. 273– 286. , 2002

An algebraic description of basic physical fields (neutrino field, electron-positron field and electromagnetic field) is studied. It is shown that the electromagnetic field can be described within a quotient representation of the proper orthochronous Lorentz group. The relation of such a description with Majorana-Oppenheimer quantum electrodynamics and de Broglie-Jordan neutrino theory of light is discussed. Many years ago Bogoliubov and Shirkov [1] pointed out that among all physical fields the electromagnetic field (beyond all shadow of doubt the main physical field) is quantized with the most difficulty. In the standard Gupta-Bleuler approach an unobservable magnitude (electro-magnetic four-potential A) is quantized. At this point, the four-potential has four degrees of freedom, but in nature there are only two degrees of freedom for a photon field (left and right handed polarizations). Besides, the electromagnetic four-potential is transformed within (1/2, 1/2)-representaion of the homogeneous Lorentz group and, therefore, in accordance with a well-known Weinberg Theorem [35] the field described by A has a null helicity, that also contradicts with experience. Moreover, at the present time electromagnetic field is understood as a 'gauge field' that gives rise to a peculiar opposition with other physical fields called by this reason as 'matter fields'. With the aim of overcoming this unnatural opposition all the physical fields should be considered on an equal footing. In this paper we present an algebraic construction of the most fundamental physical fields such as neutrino field, electron-positron field and electromagnetic field. Our consideration based mainly on the relation between Clifford algebras and Lorentz group (all mathematical background contained in [30, 31, 32, 33, 34]). In [34] all the Clifford algebras are understood as 'algebraic coverings' of finite-dimensional representations of the proper Lorentz group G +. In [34] it has been shown that there is a following classification: I. Complex representations.

2004

After a brief overview of the present knowledge of neutrino masses and mixing, we summarize what can be learned about physics beyond the standard model from the various proposed neutrino experiments. We also comment on the impact of the experiments on our understanding of the origin of the matter-antimatter asymmetry of the Universe as well as what can be learned from some experiments outside the domain of neutrinos.

Neutrino Physics in recent times has been going through a revolutionary period. Measurements of neutrinos coming from the sun or produced by cosmic rays in the Earth's atmosphere have revealed that neutrinos "oscillate", that is they change their flavor periodically with time. The observation of this phenomenon allows to obtain precious information on the neutrino masses and their mixing, shedding information about the "flavor problem", that is the origin of the fermion families and of the masses and mixing of quarks and leptons. In these lectures we introduce the subject and review these recent developments .