Electronics & Orthogonality

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Figure 1

In the closed segment, '1', there are 4 vertices. Each culminates at angle of 90° or Pi/2 rad.

In Figure 1, segment 2 the same series of angles as in segment 1 would congruously repeat.

That all suggests the radial lines are orthogonal to each other and to the concentric lines, simultaneously. For electronics that concept would have orthogonal power in each intersecting circuit component. If you correctly envisage the power flux being sinusoidal, as it is for steady power - whether alternating or direct, each orthogonal flux would be phase shifted by 1/4 harmonic (cycle) of Pi/2 rad apart for a sine wave, and Pi/4 for a sine squared wave.

This would literally mean that voltage and current are initially the same dimension of electricity, phase shifted by one quarter harmonic. The phase shift delivers very different qualities and quantification and relevance of different identities for each of them. When working with more than one phase shift, we would apply the logic in nomenclature (scientific naming) of referring to ordinate phase voltage. Eg. 1st phase, 2nd or 3rd phase etc. They are all derivatives of power.

That understanding of electrical orthogonality should lead to simpler and more effective electronic (control) circuitry at both the microelectronic and electrical (power) application. All logic gates should be able to be constructed from simple intersecting, resistive, component devices, rather than with diodes and transistors. It can all be achieved by voltage division logic and current division logic.

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