The Finite Dirac Spectrum, Three Generations of Fermions, and Yukawa Hierarchies in AQM

This paper establishes the particle-spectrum sector of the finite Dirac spectrum in Al gebraic Quantum Matter (AQM), while deliberately distinguishing the structural problems that can currently be closed from the still unfinished problem of exact mass prediction. Starting from the established AQM three-step condensation chain Fib −→ Toric(e) −→ Z3 and the low-energy algebraic interface AF = C ⊕ H ⊕ M3(C), this paper defines the Yukawa matrices as the left-right spectral blocks of the finite Dira