Unified Theory: The World Connected by Gradients

Unified Theory: The World Connected by Gradients v2 We present Unified Dynamic Relational Gradient Flow (DRGF) v2 — a minimal relational theory in which the single operator Q = D_eff × MA governs all phenomena. The central advance in v2 is the redefinition of the characteristic scale τ = 15000 as the universal **Relational Interaction Radius** (a spatial distance scale). MA inertia is now governed by the scale-dependent relaxation λ(s) = 0.00005 / (1 + s/15000), where s is the local relational scale (effective distance). This radius naturally separates small-scale order creation from large-scale order generation failure through the energetic competition inside the Relational Energy Proxy E_rel = ∫ (½ |∇√Q|² + ½ Q²) dV. - When s ≪ τ: gradient energy dominates → strong local order creation (qualia, forces, life-like growth, phase memory)- When s ≫ τ: gradients flatten, the quadratic term wins → order generation fails, directly yielding w ≈ −1 (accelerated expansion) The same minimal framework reproduces:• Inverse-square gravity (F = −∇√Q)• Dark energy (w ≈ −1) as natural order-generation failure at cosmological scales• Gauge-like patterns (U(1), SU(2), SU(3))• Born rule from relational measurement• Matter-antimatter asymmetry amplification• And more All 23 simulations (S01–S23) are fully reproducible with the provided Python code (drgf_core_v2.py + S01–S23). The code uses the new λ(s) formulation and has been verified to yield identical physical results to v1 while clarifying the underlying scale invariance. Time in local systems (e.g. brain) is understood as a projection of this fundamental spatial radius via finite information propagation speed (s ≈ c t locally). All is relational flow. Full paper (PDF) and complete reproducible code are included.