How to beat Lenz's Law in electromagnetic induction?

Lenz's Law is what cost kinetic energy to move the rotor in a Generator, namely electromagnetic coil resist any change on it by producing an electromagnetic field that opposite change. In the setting of transformer, it is what cost Primary energy.
In the Taoist philosophy, we heard of the idea of give-in to the demand in order to avoid the effect demand. Applied that in the case of Lenz's Law, to fight the Lenz's Law we would have to pretend that we give in to Lenz's Law: That we vary the V-I of Primary in the same way that the electromagnetic coil as it respond to a constant electrical current, we should thus expect ‘the enemy of enemy is our friend’. Therefore logic dictate that when vary the electrical current in this fashion, Lenz's Law is aiding the flow of electrical current instead of retarding it. i.e. We should have negative inductance when we applied the electrical current vary indirectly against time in the function of natural exponential function(or vary as though that time is flowing backward, to be technical.)

How does the classical electromagnetism explain this when extra energy is entering into the electromagnetic coil due to the variation of electrical current itself? (negative time* negative energy=positive energy?) Where does this extra energy coming from? Is that, in a sense, how the variation of electrical current of the Primary resonance with the natural parameter of Primary coil? What happen if we applied this variation to a traditional transformer?

Consider the case of Euler's Coil when four electromagnetic coils are connected as a square when one end of electromagnetic coil is next to the beginning of another electromagnetic coil. Now suppose we pass the source coil with electrical current vary in negative exponential of time. It follow that the electromagnetic coil next to it would be induced to vary its electromagnetic field in the exactly opposite fashion. So the next next electromagnetic coil would be induced to vary its electromagnetic field in the same fashion as the source coil. Lastly, the next next next electromagnetic coil would be induced to vary its electromagnetic field in the exactly opposite fashion as the source coil. Notice this electromagnetic coil would attempt to induce the electromagnetic field of source electromagnetic coil to vary its original pattern. Thus a self-reinforcement circle is setup, the influence of each other added into each other, and inductance of each other added to the electrical energy each electromagnetic coil contain.

My idea of Assisted Inductance Technology

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My thought today is if we can applied Euler's Coil Technology into the assisting(non-central) electromagnetic coils for increase the effect of electromagnetic induction in this design?

Theoritical issue in Electromagnetic induction

The article is following the direction of thought in this article. Namely, there are infinite object in the universe to be induced by any electromagnetic coil, thus it would take infinite energy to induce any electromagnetic coil, which is contrary to everyday experience. We can either resolve this by postulate that somewhere in the universe that has supplied this infinite amount of electrical energy, or we notice that the presence of ferromagnetic material near an electromagnetic coil reduce but not increase the inductance of the electromagnetic coil.
Now consider a common experience of a magnetized electromagnetic coil attracting nearby ferromagnetic metal. If we consider from the spring analogy of electromagnetism, then as the metal approach the electromagnetic coil, the strength of induced magnetic field in the metal would only increase in strength according to the cube of their distance and the velocity of approach. We can see metal as sort of passive string, which doesn’t have any inertia nor tendency to preserve its only electromagnetic field (or the tendency is so weak that we can effectively ignore it.) However, the electromagnetic coil is a structure that built to resist the change of electromagnetic field, therefore although the metal is passively influenced by electromagnetic coil, it nevertheless exert an influence to the electromagnetic coil. Thus, as the metal responding by increase the strength of magnetic field that is the opposite of the approaching electromagnetic coil. By Lenz's Law, we should expect the electromagnetic coil would react to this strengthening of electromagnetic field in the metal by producing a electromagnetic field oppose its own approach to the metal. To the electromagnetic coil, the metal is like a magnetic that increase in its magnetic field, so why doesn't Lenz's Law assert itself so the electromagnetic coil produce an Back-EMF against its own attraction to metal? Is that because the law of nature prohibit an effect from interacting from its cause? Or is that because there are subtle difference between the role and electromagnetic property between permanent magnet and ferromagnetic metal? Or is that the nature of the spring’ of the metal which can ONLY play passive role?

One answer to the ‘Question on electromagnetic inductance’

Since it is impossible to supply infinite amount of energy to magnetize an electromagnetic coil, therefore the answer for the A Question on electromagnetic inductance is that the surround ferromagnetic material would decrease the electrical energy it required to magnetize the electromagnetic coil as long as those material are not contained by the coil. In a sense, the ferromagnetic material would supply magnetic energy it required to magnetize a coil. Where does those energy come from?