Free energy mathematical proof using established scientific laws
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You're right, I'm not an EE, I'm an instrumentation and Controls Engineer. Different field.
Why does free energy have to be electrical?
It's perfectly fine if the overunity is heat: as in the case of the heat pump where it works to move heat from a cold environment to hot environment. If I ran the resistive heater I get 100 joules of heat for 100 joules of electrical input. If I run the heat pump I get COP X 100 Joules of heat pumped backwards against the natural flow.
That's overunity.
This is the same. I'm not trying to move the wire by twiddling fields around and hoping the inductance flings the wire.
The wire doesn't natively have any forces on it, so we accelerate some charged particles down the wire and the magnetic field shunts them to a latteral direction that they can't just move in because they're stuck in the wire. So they pull the wire with them.
I'm sorry but that's the mechanics that creates the force in flemmings right hand rule.