This is the rare instance in the breathing-technique dictionary where VIZ's translation is more technically accurate than a casual reading would expect: "serpentinite" isn't invented rock flavor-text, it's the actual English mineralogical name for 蛇紋岩, a real metamorphic rock whose name in both languages derives from the same visual metaphor — a snake-scaled surface. The manga art makes the connection concrete rather than merely verbal: the panel where this technique fires shows Gyomei's kimono rendered in the same diamond/scale checker pattern the name describes, so the geology term and the character art are citing the same image simultaneously.
双極 ("bipolar," both extremes/poles) most plausibly names the technique's physical delivery — a strike thrown with both of Gyomei's massive arms working from opposite directions at once, consistent with his fighting style built around his enormous physical strength and signature kusarigama-and-axe weapon rather than swordwork. As the first numbered form of Stone Breathing, it sets the style's register immediately: real geology vocabulary rather than the more folkloric or literary naming seen in styles like Wind or Water Breathing — appropriate for a Hashira whose physicality is itself described in the text as being like a mountain or boulder.
The corpus captures this technique on a genuine two-page spread (Vol. 20 pp.37–38), fired in the same joint panel composition as Sanemi Shinazugawa's Wind Breathing Seventh Form against the same target — one of the only points in this dictionary where a Wind and a Stone Breathing entry share literally the same page of the manga.