The Golden Ratio (phi) satisfies a Unified *Magnetic* Field Theory in which an Q factor becomes infinite brought about by the separation of the magnetomotive force, magnetism (which we measure as current), from the electromotive (dielectric) force (which we measure as voltage) by one-half cycle of oscillation, or 180 degrees (equivalent to pi radians). This is equivalent to time standing still since the inductive reactance of a coil and the capacitive reactance of a capacitor act on current in opposing directions of time. And if we can get these two opposing divergences to occur at the same time with the same absolute magnetude, then we have effectively eliminated duration from an oscillating wave because we will have canceled the temporal component of its existence. This zero condition of time, for an oscillating wave, effectively converts whatever Q factor is already  extent into an infinite Q factor due to the elimination of time resulting from this separation of these two forces which comprise electricity.

1. (1 - phi) = phi` >> The effective unity of mutual inductance among two different magnetic couplings, results in...

2a. Their equivalence of reflected couplings, and...

2b. Their collective coupling among two mutual inductances plus one of either singular mutual inductance is unity >> 0.618 + (0.618)^2 = 1 = 0.618 + 0.382

3. reflectivity of two different couplings >> their additive inversion equals their multiplicative inversion


#1 & #2
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phi >> 2 / (sqrt(5) + 1) = 0.61803398874989484820458683436564

phi` >> 1 - ( 2 / (sqrt(5) + 1) ) = (0.618)^2 = 0.38196601125010515179541316563436


#3
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( 2 / (sqrt(5) + 1) ) - sqrt( 1 - ( 2 / (sqrt(5) + 1) ) ) = 2 - sqrt(5) = 0.23606797749978969640917366873128


0.618 - (1 - 0.618) = 0.618 - (0.618)^2 = 0.618 - 0.382 = 0.236 = (0.618)^3


( 2 / (sqrt(5) + 1) ) ^ 3 = 8 / ( ( 6 + 2*(sqrt(5)) ) * ( sqrt(5) + 1 ) ) = 8 / ( 16 + 8*(sqrt(5)) ) = 1 / (2 + sqrt(5)) = sqrt(5) - 2