Abstract

This paper proposes a novel topological model for analyzing textual discourse. Using the Quanta Magazine article, "The Game Theory of How Algorithms Can Drive Up Prices," as our primary manifold, we identify a fundamental schism. The countable set of human agents ("people") forms a fragile submanifold within the larger structure, overwhelmingly dominated by the nouns of algorithmic processes.

This creates a topological "hole"—a void of human agency—within which the article's subject, algorithmic collusion, is not merely described but performed. We argue that this structural phenomenon, termed Algorithmic Speech, is a linguistic correlate to the very market dynamics the article examines, representing a paradigm where human-centric regulation becomes topologically impossible.