'Matinga's Orthogonal Topology Law' & Electrical Physics

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Figure 1

Orthogonal Topology Law

All spatial geometry is circular. In a circle or cycle, all radial field lines are orthogonal and simultaneously parallel to other.

Examples In Electrical Physics

Gaussian theory combined with Orthogonality Law states, as extended Orthagonality Law, that field lines tangential to those entering and exiting an enclosed surface (manifold) must be of equal number surrounding the enitre maninfold.

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

In Figure 1, sector 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 would be phase shifted by 1/4 harmonic (cycle) of Pi/2 rad apart for a sine wave.

An electrical circuit would phase shift by an increase value of Pi/2 rad increments for each successively, anticlockwise placed conductor, at the central node. The clockwise direction produces a fall in phase to the value of -Pi/2 rad at each successive rotation. That infers that the power will be the opposite charge to the initial phase in rotation whenever a natural number multiple of Pi rad is reached.

Voltage precedes current in its presentation in electromagnetic flux, not only in the mathematical, sinusoidal curve of the physics analysis. Successive phases of voltage cannot practicably invoke new names for each phase. We accept only one alternative phase name. That is the phase known as current. In future all phases will be understood as voltage phase [ i ].

Normal voltage is voltage phase [ 1 ]. Current is voltage phase [ 2 ] etc. The first 2 are perpendicular to each other. Since there are infinitely many possible - overlapping 4 phases - they are all simply defined as orthogonallly phase shifted from each other.

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, current shift, component devices, rather than with diodes and transistors. It can all be achieved by current division.

Resistors will always operate better in microelectronics, given the minute size of the more complex inductor devices. Mini-transformers (inductor, single ratio pairs) will likely replace resistors in non-integrated circuit electronics.

A unique insight is that for a fixed mass under sinusoidal acceleration, changing is angular phase will also change its acceleration to configure the 4 measured and known forces of physics. Continuum of rotation propagates and infinite and continuous array of orthogonal forces. Physics is not constrained to recognising only 4 discrete forces.

Acceleration displaces trajectory from on dimension towards the adjacent/orthogonal dimension. Try reviewing the change in the tangential arrow of a negative parabolic curve added to a contant, which equals the maximum speed, to gauge which dimension it is parallel to at the beginning, midway and final position, relative to the axes/the stated dimensions. The acceleration is represented by the derivative of the parabolic curve.

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