THE SUBECART THEORY: does 0.999... equal 1?

This paper presents the subécart Theory, which explores the gap between the process of an infinite decimal fraction and the higher unit it cannot reach. In standard mathematics, 0.999... is considered equal to 1. However, this theory argues that this equality is a convention that ignores the dynamic structure of the decimal system. By analyzing the "structural zero" that can never be reached in an infinite series of 9s, we define the subécart ⧓ as the real, ontological distance between the ongoing addition and the unit above. The theory uses the principle of the asymptote to show that while 0.999... approaches 1, it never structurally merges with it.