/* The mechanism of cold fusion is proton decay. */
The formation of muons and decay of hadrons isn't promoter of cold fusion, but actually a parasitic process of it which is running at higher energy densities and which decreases the total energy yield of it. As a clue for this insight may serve for example the fact, that the cold fusion
usually runs without any muons or even neutrons released into an outside...
The correlation doesn't imply causation and in this case you even have it opposite, i.e. you're promoting retrocausality. The confused mainstream physics is full of such retrocausalities, for example with respect to explanation of pseudogap phase for superconductivity. The
physicists already know, that the pseudogap phase occurs often together with superconductivity - so that they're deducting, that the pseudogap phase serves as a promoter of it. The situation is exactly the opposite, though - the pseudogap is parasitic, i.e. competing effect for
superconductivity. Just the fact, that the social parasites hang around rich people often doesn't imply, that these parasites are contributing their richness - on the contrary.
Got it?
I can explain the actual reason of the muon controversy for cold fusion in deeper detail at the more physical level, because it's not actually as difficult to understand, as it looks at the first sight. The energy yield of cold fusion originates from decreasing of net curvature
of surface of atom nuclei during their merging, i.e. by similar principle, like the merging of mercury droplets due to their surface tension.
The decay of hadrons followed with formation of smaller fragments like the muons actually decreases the total energy yield, because the net surface area gets increased again. As we may imagine, if we would split the water molecules during merging of water droplets, then the
resulting energy will get lowered, because it will get consumed into a decay of otherwise stable water molecules (or protons at the case of atom nuclei).
So nope: the decay of proton and formation of muons isn't mechanism of cold fusion, but its competitive process instead.