Gravity Derived: Emergence from Information Constraints

Gravity emerges from finite information bandwidth constraints on the substrate that maintains gravitational fields. We derive the information-weight law w(r) = λξn(r) (Tdyn/τ0)α ζ(r) from first principles of optimal bandwidth allocation. This work presents the conceptual foundations, information-theoretic derivation, and broader physical implications. Empirical validation on galaxy rotation curves is summarized briefly here; quantitative details appear in the companion paper "Galaxy Rotation Without Dark Matter". Empirical validation on galaxy rotation curves appears in [13]; particle mass predictions in [14]. Series note. This manuscript is part of a coordinated companion pair. Paper I (this work) defines the fixed, global phenomenology and its scope; Paper II (Rotation Curves Under a Global-Only Policy: Masks, Floors, Ablations, and Fair Baselines) tests the same w(r) on SPARC under identical masks/error model shared with all baselines. Both are co-submitted with shared artifacts and a single cover letter.