That is quite false conclusion, and coming from you I don't know what to think because I started to respect the things you say on the forum lately. The answer to these perpetual moving machines is simple oscillators that get their impulse energy at resonance. The part you didn't get right is a known property of physics called inertia which is responsible for making them work. They are very real and simple to build, but tricky and require the builder attention at all details.
The argument I made explains precisely why these machines can't work. Whatever state they're in, whether resonant or not, can be assigned a number based on the minimum energy required to assemble the machine into that state. And no known law of motion, energy, inertia, or resonance allows a transition to a higher-numbered state or to a state with an equal number while withdrawing energy. It really is that simple.
You build you argument quite well but fail based on preconceived assumptions. I don't get very well your number and state terms
Let me try to explain it one more time. Imagine the machine is in some particular state. Its components are in particular places, some are moving, and so on. Now imagine the machine with all its parts not moving and in a pile at the bottom. For each state of the machine, there's some minimum amount of energy it would take to assemble the machine from the pile of parts to that state -- you have to move the parts, accelerate moving parts, and so on. So you can assign every possible physical condition of the machine a number. No known laws of physics allow the machine to move from a state with a lower number to a state with a higher number unless energy is fed in from the outside. And outputting energy from the machine always lowers the state number.
but I can tell you the energy required to keep a resonant machine going is a few orders of magnitude smaller than the one present in the system and available for conversion at any time.
Absolutely. The same is true of a book on a shelf. Almost no energy is required to keep the book on the shelf. But if you knock it off the shelf, you can extract that energy at any time. However, this lowers the book, changing the machine to a state with a lower energy.
Note the energy produced is not available for work right away, but to be transformed or converted to another state. I would love to involve in a debate on this issue but from my experience is only a loss of time and resources for something that will finally come out like a second nature for any individual, and then be accepted by the mainstream "science" people.
Nobody said machines can't store a fixed amount of energy that you can then withdraw.