
Proves that the additive complement involution on the digital root ring DR9 = Z/9Z acts as exact complex conjugation on the character group: chi_k(phi9(n)) = chi_k(n)* for all k, n. Establishes a three-class unit group filtration (units, zero-divisors, kernel) and verifies all primitive Gauss sums lie on a circle of radius 3 in C. Identifies chi3 as the self-conjugate character — the algebraic signature of voluntary constraint reduction, corresponding to the Bird of Hermes mechanism. Connects to conductor-9 L-functions and the Pe=1 critical line. 6 falsifiable predictions.
Part of the Void Framework research project (MoreRight DAO).
coniunctio, cyclic group, Gauss sums, zero divisors, Dirichlet characters, complement conjugacy, conductor 9, Peclet number, void framework, opacity measurement, unit group, digital root ring, L-functions, complex conjugation, alchemical manuscripts, harmonic analysis, digital root, complement involution, Péclet number, Bird of Hermes
coniunctio, cyclic group, Gauss sums, zero divisors, Dirichlet characters, complement conjugacy, conductor 9, Peclet number, void framework, opacity measurement, unit group, digital root ring, L-functions, complex conjugation, alchemical manuscripts, harmonic analysis, digital root, complement involution, Péclet number, Bird of Hermes
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