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A physical law assumption is based upon a knowledge set extracted using observation and measurement techniques available at the time the assumption was made. An assumption can stifle scientific inquiry if it is allowed to become a protected paradigm, and thus, unchallengeable. Units of measure are a core element of physical law inquiry and an erroneous assumption used in selecting the base units can hinder the inquiry process significantly.

Extended Geometry for Electrical Engineers identifies how paired triangles represent wavelength and frequency. The conventional equation that is used to related wavelength and frequency, with the speed of light being the constant, does not accommodate angular characteristics.

The terms time, energy and space represent definitions for fundamental characteristics of the physical universe, however, the current sizes assigned to their units of measure are arbitrary and do not exploit their common link. To be valid for scientific inquiry, the base units of measure should be non-arbitrary and mutually defined based upon fundamental physical law. A simple geometric based mathematical process can be used to extract a set of base units for time and space that are mutually defined based upon physical law, and which will simultaneously identify the basis for a unit of energy. A numeric value is identified that provides the mathematical convergence of the units which describe time, energy and space.

The methodologies used to determine the numerical value of the speed-oflight are limited to the precision of the instruments available and to the defined limits of the units of measurement, which are the meter and the second. A mathematical method can be used to define the numeric value for the speed-of-light using a physical science and a mathematical constant which will be independent of the meter and the second, but readily related to those units. The mathematical method will be defined relative to a physical science and a mathematical constant utilizing a trigonometric function that will exploit electromagnetic relationships. The result will be a numeric value for the speed-of-light that has nearly unlimited precision.