Semantic identity anchor: Law of Identity (A = A) · 4.2.2
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Under the Axiom of Geometry, the circle is freed from the transcendental approximations of classical metrics. By deploying a quad-segmented coordinate framework anchored to the Arc Unit (au), a standard circle's circumference scales cleanly to an exact rational integer of 4 au. Each quadrant arc spans a whole value of exactly 1 au, eliminating non-terminating fractional values from the spatial baseline. This metric optimization scales directly into area calculations, where the internal space of the circular boundary evaluates precisely to 2 au². By replacing linear tangents with rational arc primitives, the framework secures absolute metric integrity at the spatial container tier. QED.
Source status: authored-proposed · Source author: Maclain Hunter
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