Information Field Dark Matter I: Deriving the Baryonic Tully-Fisher Relation from Holographic Black Hole Entropy

We propose that black hole entropy, distributed as aninformation field with density ρ_IF(r) = ρ₀/r², providesan alternative to particle dark matter. This field naturallyproduces flat galactic rotation curves and derives theBaryonic Tully-Fisher Relation (BTFR) v⁴ = a₀·G·M fromfirst principles using the Bekenstein-Hawking entropy.We test the model on 5 galaxies with 5.9% mean error.The model predicts a redshift-dependent accelerationconstant a₀(z) ∝ H(z), testable by upcoming surveys. Prediction record date: February 26, 2026Related work (Planet 9 application):https://doi.org/10.5281/zenodo.18774095