© T.E. Bearden, Feb. 15, 1996
Quoting from McGraw Hill Dictionary of Scientific and Technical Terms, 2nd Edition, p. 655:
"Gage [gauge is preferred] transformation [Electromag]. The addition of the gradient of some function of space and time to the magnetic vector potential, and the addition of the negative of the partial derivative of the same function with respect to time, divided by the speed of light, to the electric scalar potential; this procedure gives different potentials but leaves the electric and magnetic fields unchanged."What this passage says is that in electromagnetics one can appropriately change (regauge) the scalar potential and the magnetic vector potential, without changing the force fields themselves. In other words, that change of the potentials can be accomplished "work free."
Quoting Paul Davies, Ed., The New Physics, Cambridge University Press, Cambridge and New York, 1989, p. 496:
"gauge symmetry abstract mathematical symmetry of a field related to the freedom to re-gauge, or re-scale, certain quantities in the theory (potentials) without affecting the values of the observable field quantities."
Here again, one can change (regauge) the potentials without changing the force fields themselves.
Changing the potential of a system is also changing its stored (potential) energy. If at least one of the altered potentials in a regauged system is increased, that "recharged" system can take on and store excess energy, without involving the force fields E and B. That excess stored energy can then be judiciously discharged to power the load, so that the system "regauges" back to the starting or initial condition, powering the load in the process. Thereupon, the system must be "regauged" once again in the "charging" mode, to accept and store some additional excess energy. And so on and so on.
Regauging the potential(s) of the system can be just like refueling an automobile, except that regauging can occur "for free" if the system designer deliberately seeks to have it so.
Obviously, then, regauging the potential(s) is one of the master principles of overunity electromagnetic devices and engines.


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