Remarks upon Neutrino Mixing Hypothesis

TL;DR

This paper critically examines existing neutrino mixing hypotheses, identifies contradictions with established facts, and proposes an alternative formulation of neutrino oscillation theory that aligns with known oscillation probabilities.

Contribution

It introduces a new approach where flavor neutrinos are treated as Dirac particles and discusses conditions under which this model reproduces observed oscillation phenomena.

Findings

Existing neutrino mixing hypotheses are inconsistent with accepted facts.

Proposed alternative formulation aligns with known oscillation probabilities.

The approach is specific to Dirac neutrinos, with complexities for Majorana or relic neutrinos.

Abstract

It is shown that various versions of the neutrino mixing hypothesis are in a contradiction with generally accepted facts and principles.There is also presented the possible alternative formulation of the neutrino oscillation theory and it is shown under what conditions this theory reproduces the known oscillation probability formula. In our approach (flavor) neutrinos are Dirac particles. In the case of Majorana neutrinos, or the nonrelativistic neutrinos (i.e. relic neutrinos) the problem could be more complicated.