This is Part II of the spatial racetrack in a research program applying Random Matrix Theory (RMT) to Earth-system rhythms. The program's unifying principle is that a single isolated long-memory process yields Wigner-Dyson level repulsion (GOE/GUE), whereas the superposition of many independent sources yields Poisson or clustered statistics. A previous racetrack established that orogenic gold mineralization is temporally repulsive (GOE) — a charge-and-release rhythm consistent with a single deep crustal fluid source releasing episodically. This paper tests the spatial analog: whether ore-stage extensional veins show stress-shadow spatial repulsion, in which a mode-I vein relieves local tensile stress and suppresses nearby parallel veins, producing a regular minimum spacing. Using 235 quartz-carbonate vein intercepts logged in four diamond drill holes at the Archean Sigma orogenic gold deposit (Val-d'Or, Abitibi, Canada; public assessment report GM 69917), and applying a parameter-free spacing-ratio statistic together with the coefficient of variation with no declustering preprocessing, the along-hole vein spacing is found to be clustered, not repulsive: pooled mean spacing ratio = 0.344 (below the Poisson value of 0.386) and CV = 1.45 (greater than 1), with a systematic excess of short spacings. A Kolmogorov-Smirnov test rejects the GOE (Wigner) hypothesis at p < 0.0001. This result is reproduced by an independent natural fracture dataset (Lilstock pavement, CV = 1.52) and matches published vein-array statistics (CV = 1.20 to 1.69). The central finding is a time-space asymmetry: the same orogenic gold system that is temporally repulsive is spatially clustered. This is not a contradiction but a consequence of the unifying principle: temporal repulsion reflects a single source clock, while spatial clustering reflects repeated vein localization on inherited structural weaknesses through crack-seal cycling, i.e. a spatial superposition of many sites. A single temporal source need not be a single spatial source. The paper also documents a methodological hazard: minimum-separation declustering fabricates spurious GOE statistics from purely random points, and must not be used to claim spatial repulsion. The honest diagnostic is the raw spacing ratio together with CV, with no point removal.
Ruqing Chen (Sun,) studied this question.