Magnetic transformer. Working on a idea to control the direction of magnetic flux of a permeant magnet. By the use of a a/c wave. Need help with the formulas/math for such a thing.

That's a good mentality, many scientists discovered new theories through curiosity, theory came later.

In the case of the theory of electromagnetism, the theory was first simplified before being frozen. Maxwell expressed electromagnetism in the algebra of quaternions and made the electromagnetic potential the centerpiece of his theory. In 1881 Heaviside replaced the electromagnetic potential field by force fields as the centerpiece of electromagnetic theory. According to him, the electromagnetic potential field was arbitrary and needed to be "assassinated" (sic).

CEM isn't in its final form, and the A vector potential is a real entity!

There can be little doubt that Maxwell's equations constitute one of the great landmarks in physical theory. Their basic accuracy has been confirmed innumerable times, in many different types of experiment. Their invariance properties led Einstein to his special theory of relativity. Moreover, their gauge-theoretic interpretation led to non-Abelian generalizations, fundamental to modem particle physics. Their elegant mathematical form has provided several important influences on the development of mathematics itself. These facts should not, however, deter theoretical or experimental physicists from seeking alternative descriptions, unconventional formulations, surprising electromagnetic effects, or radical generalizations. The various articles in this book provide the reader with a great variety of different kinds of approach to developments of this nature. We have historically motivated accounts, suggestions for new experiments, unconventional viewpoints and attempts at generalizations. We also see novel and ingenious formulations of electromagnetic theory of various different kinds. I am sure that this book will make it clear that electromagnetism is a subject that is in no way closed to stimulating new developments. It is very much alive as a source of fruitful new ideas. (Advanced electromagnetics by T Barret)

Your converter may work, why not, it's called flux gating or flux redirection, the coils push the flux away into another path. Don't know if it is efficient, dphi/dt remains intact, the static flux source is from magnets, the varying is done by the coils.
The idea is from Bearden and this guy succeeded in replicating it: https://www.youtube.com/watch?v=hI5XqXD_ZL0
I found some readable alt EM theory:
https://tesla3.com/tom-bearden-final-secret-paper/
https://forum.rocktumblinghobby.com/thread/91210/pulling-energy-vacuum-thomas-bearden

This is something similar, the idea is asymmetric reciprocity, don't know if it works:
https://patents.google.com/patent/US20140253271A1/en
https://patents.google.com/patent/US7453341B1/en

Some relevant scientific sources: https://physicsworld.com/a/magnetic-field-diode-is-a-first-say-physicists/

https://www.researchgate.net/publication/338593391_Tutorial_on_Electromagnetic_Nonreciprocity_and_Its_Origins
https://link.springer.com/book/10.1007/978-3-030-52222-

Good luck.

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