Yes, a ballon is a PPM, the gases (atoms & molecules ) in it are always moving perpetually. “Free work” is harder to do, can we say “Maxwell’s Demon”. Reverse osmosis, deep gravity well, thermal diffusion, enormous machine for very little payout.

There is a conspiracy group on this sight. Maybe you should consider posting there.

One of my least favourite subjects at university was Statistical Physics. I stared at a green chalk board showing 100 elements each with a single degree of freedom and calculated the entropy in different states and the chance of entropy increasing or decreasing from various states. Yes entropy is a mathematical term.
The laws of thermodynamics are verified by statistical physics. They're not just a model with a confluence of supporting evidence. They're also confirmed by mathematics. That the entropy of an isolated system cannot decrease is as certain as any other mathematically proven statement. There is always a larger prime number to be found, pi is irrational, entropy never decreases.

"If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations-then so much the worse for Maxwell's equations. If it is found to be contradicted by observation-well, these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation."

Arthur Eddington

According to Ginsberg's theorem (an explanation of thermodynamics law)

0. There is a game (consequence of zeroth law of thermodynamics)

1. You can't win. (consequence of first law of thermodynamics) - Here a perpetual engine becomes impossible because you can't take more than you give, so if you use the energy for something it will end.

2. You can't break even. (consequence of second law of thermodynamics) - Here the PPM becomes impossible because even if you isolate the machine it won't keep up forever.

3. You can't even get out of the game. (consequence of third law of thermodynamics) - This says that you can't even Isolate it to make the decrease in "useful energy" minimum.

You will have to define "perpetual" first.
Also, how do you measure motion of an atom? If it exists, but at absolute zero, does it move?

Even the universe is NOT a perpetual motion machine.

Perpetual Motion only works in a Universe without friction, entropy, and the second law of thermodynamics. Since this UNiverse does not have these aspects it does not work. I have an engine I am working on that will create energy when it is running. Anyone have any money they would like to throw away, Oh shit, I mean invest, please contact me.

Superconductors are perpetual motion machines, and they exist.

Since the dawn of recorded history, people have been looking (highly motivated looking!) to turn lead (or whatever) into gold, and create perpetual energy. IMO plenty of time for either to surface if they were possible

It is not possible, the nearest we could, hypothetically, get to it is somehow tapping the actual motion of the universe, but even then it would not be perpetual, it would slow and decrease with the motion of the universe and eventually stop.

No. However, in my ignorance, I think it may be possible to generate or capture energy from ' space/vacuum ' along the lines of so-called ' zero-point energy. '

No

No.