Margin as Limit: Pixel Structure and Consumption Dynamics in Real Markets

This paper derives the minimal structural configuration under which a market can exist as a constrained generative system. Starting from the operator Ω(E1,E2|L), the available margin is identified as the non-removable limit through an eliminative reduction. The minimum pixel is the ordered pair (offer, Δm). The framework is validated on 926 product categories across six markets (pharmacy, electronics, wine, beauty, fashion Italy, fashion UK) using a fully observable dataset of approximately 2.5 million offers. The structural regime is invariant across categories, sectors, countries, and currencies. This constitutes the 23rd verified domain in the Sub-Limit Dynamics programme and the first to populate the Emergente × Discreto cell of the Q1 Constraint Atlas. Four predictions from the static coordinates are tested and confirmed. A dual saturation mechanism is identified on both supply and demand sides.