Geometric Distortion of Space Arising from Layered Closed Surfaces with Non-zero Tangent Vector Inner Products

We present a geometric model in which space is formed by a layered structure of closed surfaces, each possessing internal tangential vector fields. When the inner product of these vectors over each surface yields a non-zero total, their accumulation along the normal direction results in a measurable scalar quantity. This quantity reflects the integrated asymmetry of surface structures and corresponds to spatial distortion. We propose that this distortion is physically analogous to spacetime curvature or gravitational potential, and may be used to model gravitational fields from a purely geometric perspective, independent of traditional stress-energy tensor sourcing. This approach offers a new formulation of gravity and space curvature based on internal surface vector dynamics. **Author clarification:** This work was authored by Tetsuo KONNO 今野 哲夫, an independent researcher based in Izushi, Japan. Please do not confuse with other researchers of similar name in unrelated fields.