The Arbiter exists in superposition—simultaneously organic, geometric, and void—with each observer perceiving only the aspect their home dimension allows them to comprehend. It possesses absolute immunity to dimensional distortion, meaning realm-specific physics cannot influence its judgment. When it renders a verdict on a trajectory, reality itself shifts subtly to accommodate the truth it has declared, making its judgments not merely observational but constitutive of what the Perfect Line actually is.

It serves as the final examination that Linewalkers must pass—not through deliberate testing, but through the simple act of throwing a line so perfect that the Arbiter acknowledges it across all three dimensional frameworks simultaneously, an occurrence so rare it marks a fundamental shift in the thrower's relationship with reality itself.