Googling the equivalence of private arbitrary power and state arbitrary power

If private arbitrary power is equivalent to state arbitrary power, and if state arbitrary power is a Rule of Law problem, then private arbitrary power is a Rule of Law problem. In accepting state arbitrary power as a Rule of Law problem and in questioning whether private arbitrary power is equivalent to state arbitrary power, I explore a minimalist, yet extreme, departure from the state-based concept: giant global tech companies. The departure is minimalist as these corporations exert state-like control within their (virtual) territorial spheres. The example is extreme as if the Rule of Law is to apply to any aspect of private power, it applies to these companies. In considering Google, I suggest that, despite the minimalist departure, dissimilarities in the private/public exercise of arbitrary power temper claims that private arbitrary power is a Rule of Law problem and, given the extreme nature, this can be extended to any claim that private arbitrary power is a Rule of Law problem.