About the content of Alexandre's article I cannot say anything as the mathematics and physics are over my head. — Tobias
As a physicist, I can say something about it. I have looked over the math. He uses Hestenes's spacetime physics formalism and transplants quantum mechanics to experimental practice ("practice states", as states in a Hilbdrt space or even wider, a Fock space) and Tūring machines. The observer (the singleton, as he rather impersonally calls it), math, physical models, theories, are all part of a context. A context to his "absolute" reality. The reality of clicks in an experiment, programs, and Türing machines to let them run on and operate on the "clicks". He made quite some errors in the math, but not substantial. Mostly wrong indices, or two times the same expression for different things, or make-up errors. There was no real quantum gravity present. He used the classical Einstein Hilbert action, from which a gauge theory for classical general relativity follows, not the quantum version. He used an entropic approach to information, but the point is that this cant be applied to experimental outcome. Basically he projected QM on experimental outcomes and used maximum entropy to maximize a measure for a kind of experimental Hilbert space to include all possible experiments. So it's no wonder that the Born rule automatically follows, as he put that in in the first place. He proposed an interference experiment to show quantum gravity, but that experiment shows he has not a truly good understanding of basic quantum mechanics and when I helped him clearing up the math he used I thought how he could not see those obvious things himself before publishing. He had the tendency to pull all your physical thoughts into his "context" while actually, from the POV of real physics, it are his notions of the observer, the Türing machines, the clicks, and the programs that are the context. Though I believe that even computer programs are considered context. Most of his math is just stated and pulled in straight from the books. He has done a few calculations himself, mainly a lot of e powers. And he uses a lot of tuples and matrices to offer experiments, which he transformed to mere sentences and symbols, to fit the math. It's a cold theory without a personal touch. No new and interesting physics and a suggestion for an experiment from which nothing about quantum gravity can be deducted. Believe me, if that were the case then we would have known. Many clicks, little hot licks! But my spacetime physics formulation got an impulse. Much math, easy math, but not one inch of physics.
In short, it's no wonder quantum mechanics follows from his "ToE" if he has put it in in the first place. Quantum gravity is nowhere to be seen. The math is used for the wrong subject matter, as the thermodynamical entropy can't be applied to experimental "states". The theory is impressive at first sight (mainly because of the math, but that is more of a diversion here) but at closer look it's an attempt to draw the whole world within his view. Which would be no problem if he could relativize but he truly thinks it's the only absolute reality, while in reality there are many. The first encounter made me sit up. Could it be...? But no... And J already knew that it couldn't be, because I know how reality functions at the fundamental level, and how the big bang came to be. I thought about it all my life 36 years long (well, a bit less of course). Away from the scientific community, which might be exactly why. Of course I absorbed known physics. And recently it fell all into place.