FYI, Mills does handle tunnelling. In a word, ....
The word for Mills and tunneling is delusional and we could add the words ignorant and fantasy,
markie.
Mills book has a section on alpha decay starting on page 1621. This is
alpha decay
Alpha decay or α-decay is a type of radioactive decay in which an atomic nucleus emits an alpha particle (helium nucleus) and thereby transforms or 'decays' into an atom with a mass number that is reduced by four and an atomic number that is reduced by two. An alpha particle is identical to the nucleus of a helium-4 atom, which consists of two protons and two neutrons. For example, uranium-238 decays to form thorium-234:[1]
Mills starts with a ignorant fantasy about
free electron tunneling. That includes treating it as a plane wave when that is not his electron model and referring equation 3.1 - an equation for light. He repeats the fantasy on page 1623 and makes this a delusion by applying it to the 2 protons and neutrons of an alpha particle
bound in a nucleus.
An electron is not light.
An electron in a potential is bound, not free.
A proton is not an electron.
A neutron is not an electron.
Mills has some lies and fantasies below equation 3.1 in Chapter 3 "Electron in Free Space", page 169.
The
de Brogie hypothesis is quantum physics, not classical physics, and so cannot be part of his fantasy of only using classical physics.
A
de Brogie wavelength says nothing about the nature of the wave . It can be a plane wave, spherical wave or a wave package.
If an 1 electron atom loses its electron by ionization, its
atomic radius becomes undefined (no "surrounding cloud of electrons").
That free electron has a finite momentum - not his "hypothesis" of zero momentum.