The Minimal Structural Equation: A Structural Reconsideration of Singularity, Infinity, and Information in Modern Physics

This paper introduces the Minimal Structural Equation, defined as: 0^* := \lim_{x \to 0} \frac{1}{x} = \pm \infty Rather than treating this indeterminate form as a failure, we propose it as a structural threshold—an entry point to a deeper understanding of singularities, infinities, and information boundaries in physics. By reinterpreting the number line as topologically twisted (like a Möbius strip), this equation suggests not collapse, but compressed resonance at the edge of zero. We explore implications in quantum field theory, entropy, and limit-based mathematical structures, arguing that this compressed divergence represents a new conceptual boundary in both mathematics and physics.