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.

Effective harvesting strategies are crucial for maximizing annual catch and ensuring the sustainability of lobster (Homarus americanus) farming. This paper presents a nonlinear objective programming model to optimize harvesting intensity based on lobster life cycle dynamics and harvesting characteristics. We model the population dynamics of 1-4 year-old lobsters using differential equations to account for natural mortality, spawning, and harvesting effects. Solving the model with LINGO 12.0, we determine that the optimal harvesting intensity coefficient is 17.36, which maximizes annual catch to 3.88×10¹⁰ grams. Results indicate that maintaining harvesting intensity around this optimal value balances economic benefits and population stability, ensuring sustainable farm operations.

This article explores the properties of Fibonacci sequences and their widespread applications.