The Geometric Origin of Mass and Gravity in a Hyperspherical Expanding Universe (HELS Model)

We present a conceptual framework for a unified cosmological model, HELS (Hyperspherical Expansion with Light Speed), which postulates that the observable Universe is a 3-brane embedded in a 5D Minkowski bulk, expanding radially at the speed of light ($c$). In this framework, we interpret mass and gravity not as fundamental forces, but as geometric consequences of limiting the 4-velocity vector within this embedding. We introduce the "Interference Knot" hypothesis, proposing that matter arises from local topological defects in the vacuum condensate. These defects force a "zigzag" motion in spatial dimensions, necessitating a reduction in radial (proper) velocity. We show how this dimensionless radial-velocity deficit can be mapped to the standard Newtonian weak-field metric potential under a specific embedding ansatz. This paper outlines the ontological shifts required for such a model, discusses its consistency with linear "coasting" cosmologies, and clearly delineates the scope and limitations of this provisional formalism.