Right, but isn't "gravitomagnetism" is just gravity from another frame of reference? It's just a result of the affine connection between the observer's point and the other points. I'm talking about a theory that posited a far greater "force" where rotation of neutral matter would induce an electromagnetic field. Blackett and Schuster conjectured that the Earth's electromagnetic field could be explained by it's rotation.
I suspect you are correct about what
they were thinking. But it's still nonsense. Rotation of neutral matter most definitely does
not produce electromagnetic fields.
If a gravitational field could be induced somehow by electromagnetism in a unified field theory
General relativity already accounts for the gravitational effects of electromagnetism. There's nothing special about it. Electromagnetism is just another form of energy, and energy distorts space. We don't need a unified field theory to describe that. But given how little of an object's mass comes from electromagnetism, and more importantly the fact that this will still be attractive gravity, it can't lead to any sort of antigravity.
it would make sense that one could reverse the effects of gravity(under probably extreme conditions) just as one may reverse the polarity of a magnet by having it be a coil's core.
You can reverse gravitomagnetic effects by reversing the direction of rotation (which is what happens to an ordinary magnet which switches polarization too). But as pointed out above, those effects are very tiny. And gravity itself can't be reversed this way. It's monopolar, not dipolar, and there's only one kind of charge (ie, only positive mass, no negative mass). So no, gravity
cannot be reversed.
The closest thing to antigravity which is possible is gravitational "swimming". That is, if you've got a mass which can change shape in a non-uniform gravitational field, you can exploit the variations in the field to exert a force on the object by rapidly changing shape in the right manner. In a sense, you "swim" in the gravitational field. But the thing is, in order to actually apply noticeable force using such methods, you need to have the different parts of your object moving at relativistic speeds relative to its center of mass. Furthermore, the energy required to do something like hover using this method becomes a significant fraction of the rest energy of the object. Both of these constraints are, from a practical perspective, impossible barriers to overcome. The theory works, but we could probably never actually do it, and it would be vastly inferior to conventional propulsion even if we could.