Right, I think this is not a straightforward Forest to go for hunting...I hear you Gregory - one way is to work with the fundamental Laws of Motion and try to set one against another causing a selective stalemate or nulling that results in some unseen force imbalance advantage - to me, if that could be done, then that would invalidate those Laws of Motion and demote them to back to Theories of Motion ( down from a Law ) because a physical arrangement could be demonstrated to mathematically disprove at least one Law .. I would class that approach as finding a physical workaround to the Laws of Motion ..
My hypothesis also attempts to find a physical workaround, but not to the Laws of Motion per se - but to cause continuing asymmetric imbalance conditions by actually working within the Laws of Motion principally to return conditions of Conservation Of Energy ( COE ) and Conservation of Momentums ..
What would happen if somebody found a strange loop/exception within the current laws?
IMO this is more like normal scientific evolution, like we had a path of... Galilei / Kepler--> Newton / Leibniz --> Maxwell, Riemann, Lorentz, Minkowski, Einstein ... and so on, you could call up a dozen more great scientist.
So, if something new is found then there will be some extension, reframing, or correction to one or more of the laws and we will arrive at a better, more completed model. But after all, at the basics most of the things would remain unchanged, so I don't think this would mean a big crash or a "hard invalidation", like everything goes out of the window... But I admit, this is something very hard to see through or predict without the actual data and analysis...
Yeah, it's always a great pain to come up with something new, or something which might have a shot at a greater goal... But hey, you're arriving somewhere. Even if it turns out to be not enough, it's still a good amount of useful insights, deeper understanding...I have taken great pains to map out a potential path between a runners acceleration and work output to an ambient source of motion that could theoretically be tapped and transformed into that wheel-work at the expense of the earth's momentum .. at the same time work within Newton's Laws of Motion .. I have taken it as far as I am willing too go without going further down the rabbit-hole and well out of my pay grade ..
My task next week will be to build a sim of the swingers setting into torque and rotational motion with a vertical linear input of force ( the bounce factor ) - to do that I will probably just use a fake repeating force and spring assembly to bounce and recover the whole-of-wheel GPE etc - this should prove beyond reasonable doubt ( if it works as I anticipate ) that a linear force input can be outputted as rotational motion ..
Then I anticipate looking again at the A-Prime morphing exercise as a physical replacement for the fake force input above - and hopefully showing again that it is robust and efficient with some interesting GPE outcomes that can perhaps be exploited to an advantage ..
** Ultimately linking it back too the theory of "Raising GPE without using Law of Levers" to mechanically arrange a very rapid wheel acceleration and self-moving wheel scenario, whilst meeting the COE mandate ..
Your imagination and inputs, and discussion, always welcome ..
On the sidenote... I think you should not focus too much on acceleration first, if you can make a gain, however tiny it is, that would already mean an extraordinary solution.
I still have an unfinished swinger wheel idea/sim. This might show you some new ways to think/learn about, or invoke some new inspiration. It contains a beautiful movement, I will post it once it's completed. Just feeling distracted/unmotivated lately.
