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There's something hinky going on in that article.
I don't think the superconducting plates can "know" that they are on the outside of a sphere, and therefore direct their force outwards. Sure, they can know the difference between inside (insulated from the Earth's magnetic field) and outside (exposed to it), but that asymmetry breaks once you turn off the top half of the sphere and attempt to create lift: instead of changing from a full sphere (top half pushing up, bottom half pushing down, net zero force) to a half sphere (top half missing, bottom half pushing up, net upwards force) as the article claims, it has changed into a hemisphere (top flat surface pushing down, bottom curved surface pushing up, net zero force).
You definitely might be right about the article, but I'm not following your analysis (probably a me problem!)
Perhaps a simpler objection: He is proposing a perpetual motion machine.
An ideal superconductor does not require any energy input. Our superconductors need energy-intensive cooling setups, but that's just a quirk of our technology and environment. If you could produce lift with the mere presence of superconductors (in a hemispherical shape), then you could lift something for free, drop it to generate energy, and repeat forever with no inputs.
The standard model of physics doesn't allow for perpetual motion machines, therefore it doesn't allow for his proposed machine.
The Meisner effect occurs at the time the superconductor is cooled. So there's no perpetual motion... but also not more than a momentary thrust.
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But he's not proposing lifting anything for free - he's proposing power in using beamed power, right?
The power goes in, then...? The only power expenditure he laid out is cooling the material. That deals with the inefficiency in our technology, but it is still generating free energy at its heart.
I read three power expenditures:
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