Mishka's Law of Instantaneous Requirement: A W-Dimensional Framework for the Axiom of Non-Embedding, Gravitational Pressure, Topological Arithmetic, and Cosmological Regulation.

Standard cosmology posits a singularity at t=0 but does not specify the geometric domain in which that singularity, or the subsequent expansion of 3D space, is embedded. This paper proposes a structural, pre-mathematical resolution via a fourth spatial dimension, denoted w, orthogonal to x, y, z and distinct from time t. Under this framework, the universe does not expand into nothing; it expands through w. Gravitation is reinterpreted as external displacement pressure rather than intrinsic attraction, and division by zero is redefined as a geometric transformation onto the w-axis rather than an undefined operation. A localized collapse trigger—extreme black hole horizon self-intersection—is proposed as the mechanism by which global w-axis reset occurs.