This paper reconceives zero not as a mere absence but as an axis unifying positive and negative infinities. We introduce the notion of Unzero (Ø) to emphasize zero’s active role in mathematical structure. By analyzing limits of the form n/m as m→0⁺ and m→0⁻, we show that Unzero naturally serves as a pivot between divergent magnitudes. We formalize Unzero within a minimal algebraic extension of the real numbers, compare it with projective and non‑standard frameworks, and explore illustrative examples in analysis and geometry. This unified perspective clarifies longstanding ambiguities around division by zero, offers a coherent notation respecting classical limits, and suggests avenues for further algebraic and topological development.
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