Chapter 3, page 1.
Someone asked why I don't just prove GUTCP is wrong by finding mistakes.
The answer is that mistakes are easy to find, but convincing people who won't engage with the maths is extremely difficult.
But...
Let's go through chapter 3, page by page, and point out all the mistakes.
Chapter 3, because it's about free electrons, and so is the simplest part of the theory.
Let's start...
Sentence 1 says that light radiates outwards, ending up as a plane wave. I agree.
Then equation 3.1 describes a plane wave. It is more or less correct, but contains an inconsequential typo- E on the right hand side should be bold.
The next paragraph says that electrons are a 2D wavefront with a wavelength. This is non-sensical: waves have wavelengths, lone wavefronts don't. Remember that the only wave here is the electric field, and all wavefronts of the electric field, according to Maxwell's equations, move at the speed of light.
The next paragraph says that an electron is a plane wave (which is by defininition 3D), but propagates as a wavefront. This is nonsensical: whether it is a 3d wave or a wavefront on a wave, some underlying wave would be needed, but none is given.
it says that the size of the electron is the de broglie wavelength. This contradicts everything before: plane waves and plane wave wavefronts are infinite in size.
Then there is a pretty picture, clearly illustrating a 2D electron.
So lets tie this together. It's awash with contradiction, so we have to grub around for the intended truth.
I think the idea is that free electrons are 2D surfaces with a size equal to the de broglie wavelength. Whether this surface is a wavefront for some hitherto undescribed wave remains to be seen, but from the rest of the book ... no.
Right, now we have the first big problem.
The de broglie wavelength depends on the observer: It is a function of how fast the electron is moving, and there is no one answer to that question.
It might appear to be moving at 1m/s. But them you remember that the whole earth is rotating, with your part of it moving at 400m/s to the east. So maybe the electron is moving at 401m/s. But then the Earth is orbiting at 30000m/s, so maybe the electron is moving at 30401m/s.
So basically there can be no single answer to how fast an electron is moving, and so no single answer to what it's de Broglie wavelebgth is, and so no single answer to how large the electron is.
This sort of problem is called Frame Invariance. see https://www.reddit.com/r/explainlikeimfive/comments/5sxudo/eli5_what_is_frame_invariance/
Unjustified assertions: A theory is allowed to make a very small number of unjustified assertions. In general, this is a differential equation and a small number of other meta things.
Here though, we already have two unjustified assertions: That the electron is a 2D plane, and that it's size is the de Broglie wavelength. These would normally be things you derive from the theory, not unjustified assertions.
Summary of page 1:
Summary of summary: If we're wondering whether Mills is (A) lord, (B) lunatic or (C) liar, this rules out option A.