Anomalous fermions

TL;DR

This work proposes a distinct, non-perturbative anomalous fermion sector arising from a separate set of Dirac eigenfunctions that rapidly oscillate with a space period $L$ and cannot be re-expanded into conventional states. By constructing both conventional and anomalous propagators and analyzing their behavior under fluctuations, the paper argues for two independent fermion types: conventional and anomalous, with the anomalous vacuum potentially pairless. It links the existence of anomalous states to specific dynamical conditions, such as rapid nucleus motion, and predicts gamma emissions of order $10\,\mathrm{MeV}$ from transitions within anomalous levels, potentially accompanied by neutron emission or element transmutation in certain setups. Experimental results from high-voltage discharge and related systems are discussed as being compatible with the anomalous mechanism, offering a testable framework for pairless anomalous vacuum and anomalous atom formation.

Abstract

A quantum mechanical state of one electron can be presented as a superposition of eigenfunctions marked by various types of quantum numbers (momentum, angular momentum, etc.) There exist the eigenfunctions, referred to as anomalous, which strongly oscillate in space regardless of electron energy. Fluctuation fields smear out the short range structure making the anomalous state fluctuation mediated in a non-perturbative way. Thus the resulting anomalous state is like a strong coupling polaron, whereas the conventional state is almost free. This natural separation leads to two independent types of fermions: conventional and anomalous. The analysis of experiments on pair production by photon shows that the photon cannot create a pair of anomalous electron and positron. This is possible, when the anomalous vacuum is pairless in contrast to the conventional electron-positron vacuum. The creation of anomalous fermions is a non-trivial experimental task but it results in gamma emission due to transitions to low lying anomalous levels.