Given, firstly, that any proposed hyperdrive is purely theoretical, at the moment, a surprising amount of work towards the theory has been accomplished, dating back to about 1951. The primary driving force (pun only slightly intended) originated from work done by the German theorist Burkhard Heim. His work on quantum physics resulted in his proposal (backed by his quantum mechanics equations which attempted to resolve the biggest riff in physics, i.e.; Einstein's Theory of Relativity and the said quantum physics). Heim understood that quantum physics demands that space is a fixed and passive stage, something simply there for particles to exist on. It also suggests that space itself must somehow be made up of discrete, quantum elements, while Einsteinian theory requires that space-time is an active, malleable fabric. It has four dimensions - three of space and one of time - that deform when masses are placed in them.
So, with that foundational difference, Heim developed a quantum level six-dimensional world, in which the forces of gravity and electromagnetism are coupled together. Heim claimed it is possible to convert electromagnetic energy into gravitational and back again, and speculated that a rotating magnetic field could reduce the influence of gravity on a spacecraft enough for it to take off. Hence a hyperdrive capable of navigating hyperspace... Bear with me just a little longer...
Contd.