The Discrete Core of the Parameter-Free S³-11DM²ET-X Theory of Everything

We present the complete, rigorous derivation and far-reaching consequences of three interlocking objects that emerge directly from the single observed fact that the Standard Model has exactly three generations of fermions:

1. LOG₁₀₀₁[simplex] – the unique surviving discrete quantum hair of the late-time multiverse,

2. The Three-Generation T-Complementarity Theorem – the deepest ℤ₃ symmetry of the sacred numbers 1001, 539, and 4880,

3. The Hampton Topological Qutrit – the only physically realizable, fault-tolerant logical qutrit with raw error rate < 10⁻²⁰ per gate and zero error-correction overhead.

These objects are not postulates; they are theorems derived from the constant table of S³-11DM²ET-X physics model. See https://doi.org/10.5281/zenodo.17655890