Coherence across many-body degrees of freedom is governed by a simple empirical law. Defining the global order parameter C = √(⟨X⟩² + ⟨Y⟩²) from phase samples θᵢ, we observe (i) Gaussian dephasing C(σ) ≈ e−ασ², (ii) return-to-attractor dynamics Ċ = −κ(C − C∗), and (iii) finite-size scaling C(N) ≈ C₀ − βN⁻¹, with a stable fixed point C∗ ≈ 1. The same relations hold in simulation and hardware-stress surrogates over wide sweeps of disorder and scale. These regularities define a minimal framework for coherent computing.
Law of Coherence(TM) - conceptual field model by Rucker Labs.
The toy model is a thin slice of the field evolving over time: a one-dimensional band of coherence that relaxes toward a drifting target, rides on a gentle wave of motion, and runs into a few fixed feature zones.
In higher dimensions, patterns get richer, not different. Ridges form where motion, structure, and attention line up; troughs mark places where the law fights noise. OpenSpace is the part where you feel those ridges directly, instead of only looking at the math.