Data Pressure

Data Pressure is the pressure the density of data exerts in the substrate, counted as bits per volume, each bit at the Landauer energy; its gradient generates the directed force that guides flows and collapse. Part 3.1 lists it among the quantities of Data Calculation. Gradients in data density across the substrate produce directed force: Data Pressure drives recursive flows inward, toward convergence, and outward, toward proliferation, and it is the active mechanism linking density buildup to the collapse thresholds, so that where data piles up past what the substrate can carry a Null Well forms (Data Collapse). It stands beside Data Inertia, the accumulated weight that resists cessation, and Data Gravity, the curvature that density differentials produce; the Data Gravity Gradient of Part 3.9 is its gradient written out. The book tags Pↁ [𝕃⁻³·1ᵇ]: bits per unit volume, each worth the Landauer energy k_B · T · ln 2 at the universe's temperature, so the quantity is an energy density in the data's own currency. It connects to Data Density, Data Inertia, Data Gravity Gradient, Data Collapse, Data Gravity Collapse Threshold and Data–Matter Equivalence.