Dark Matter as Holographic Field Lag: Galaxy Rotation Curves from the Information-Theoretic Logos

Seventy years of dark matter searches have found no WIMP, no axion, and no particle candidate. The Information-Theoretic Logos (ITL) framework proposes that dark matter is not a substance. It is a phenomenon: the lag of the gravitational field update on the holographic surface when local accelerations fall below the de Sitter update rate. In the ITL, gravity is a positional bit-update on the 2D holographic boundary propagating at c. This update has a minimum rate set by the cosmic Hubble clock H₀. Below the threshold acceleration a₀ = cH₀/(2π), the gravitational field cannot update faster than the de Sitter erasure rate. The field lags behind the matter distribution. This lag is perceived as additional gravitational pull — galaxy rotation curves flatten, velocity dispersions exceed Newtonian predictions, and all dark matter phenomenology follows. We derive a₀ = cH₀/(2π) = 1.056×10⁻¹⁰ m/s², within 12.0% of the empirically measured MOND acceleration constant a₀ = 1.2×10⁻¹⁰ m/s², from zero free parameters. The same 2π factor appears in the de Sitter temperature T_dS = ℏH₀/(2πk_B), confirming a common holographic origin. Dark matter is not missing mass. It is the shadow cast by a field that has not yet arrived.