Unified Theory: The World Connected by Gradients

We present Unified Dynamic Relational Gradient Flow (DRGF) v4, a minimal framework in which a single operator[ Q(\mathbf{r}, t) = D_{\rm eff}(\mathbf{r}, t) \times {\rm MA}(\mathbf{r}, t) ]and its scale-dependent update rule unify particle physics, gravity, and cosmology. Interpreting MA as the historical depth of relations (in the spirit of Assembly Theory), high-MA states naturally trap surrounding relational density through the Assembly Bootstrap mechanism, generating exponential mass hierarchies, spontaneous symmetry breaking, inflation, dark energy, baryon asymmetry, and Planck-scale finiteness without ad-hoc parameters. 3D simulations with the full 12-fermion spectrum reproduce the observed mass ratios (t/u ≈ 107,900, b/d ≈ 78,200, τ/e ≈ 3,477), CKM/PMNS matrices, neutrino oscillations, CP violation, the Higgs mechanism, electroweak symmetry breaking, and inverse-square gravity ((F = -\nabla\sqrt{Q})). At cosmological scales, inflation emerges from ε-scale seeds, terminates via phase transition, and transitions to dark energy ((w \approx -0.9998)). Baryon asymmetry ((\eta \approx 5.9 \times 10^{-10})) arises naturally. Distinctive observational fingerprints include a sharp gravitational-wave ripple (detectable by LISA and DECIGO) and subtle CMB non-Gaussianity. The model also predicts stable multi-universe interactions and information preservation at the Planck scale. All simulations (S01–S27) are fully reproducible and included in this repository.