Conditional Selection of the Standard Model Algebra and Algebraic Exclusion of Local ∆B = 1 Operators

This paper studies the selection of a terminal effective algebra in a finite spectral algebraic-dynamical framework. Given the three finite algebraic in puts C −→ H −→ M3(C), and requiring the terminal algebra to satisfy finite-dimensional semisimplicity, factor preservation, center preservation, absence of redundant factors, and compatibility with the noncommutative-geometric finite spectral representa tion of the Standard Model, the terminal effective algebra is conditionally se lected as ASM