The Golden Norm Hears the Dedekind Zeta: A Pre-Registered Detection of ζ_{ℚ(√5)}(s) Zeros via the Indefinite Form p² − 5q²

We report a pre-registered empirical detection of the zeros of the Dedekind zeta function ζ_{ℚ(√5)}(s) = ζ(s)·L(s, χ₅) using a family of functions built from an equidistributed phase sequence and the indefinite Galois norm N(a) = p² − 5q² on ℝ(√5). Four adversarial falsification tests were pre-registered with commit SHAs prior to data analysis. At N=10000 non-trivial Riemann zeros, the overall test statistic reaches z = −22.91 against the same-density uniform-random null (discovery threshold is |z| ≥ 5). The √N scaling from N=100 to N=10000 is confirmed to within 11% of prediction. Three further pre-registered tests identify the mechanism. The golden ratio φ is NOT specific to the effect: alternative…