Mirror Symmetry in the I11 Quantized Number Space: Structural Parallels to Refined State Spaces in Quantum Dynamics

This work presents the I11 quantized number space as a structural foundation for unifying pure and mixed quantum aspects within a single carrier space. Through discrete mirror symmetry and scale invariance, smooth state spaces emerge in the scaling limit, rather than being postulated a priori. A direct comparison with refined state space formulations shows that the same involutive logic was already contained in I11, documented by the author in early 2025. Experimental confirmations include precise reproduction of the Balmer series, extensions to helium transitions, and verification in solar spectra at refinement level k=2. The results demonstrate that I11 is not only a mathematical framework but also directly reflected in observable physics.