The I11 Mirror Space Metric: Emergent Geometry Without Classical Tensor Fields

Description: This publication introduces the concept of the I11 Mirror Space Metric as a fundamental alternative to classical geometry. Instead of assuming a metric tensor as in Riemannian frameworks, the geometry emerges from a mirror symmetric interval and a self-similar partition structure. Distances, angles, and coordinate growth are not predefined but arise from the intrinsic properties of the space itself. The work shows how characteristic geometric features, such as the 49.24 degree resonance angle, result naturally from mirror constraints and fractal subdivision. In this framework, tensor fields are not fundamental objects but can appear as emergent structures at coarse grained or effective levels. This reverses the conventional hierarchy in which geometry depends on an assumed metric field. The I11 Mirror Space Metric provides a constructive foundation for geometry without relying on a background manifold, coordinate systems, or infinitesimal distances. It opens a pathway for reinterpreting physical formalisms such as spin operators, symmetry groups, and field representations as secondary to an already structured space.