Constraint-Weighted Growth Induces Monotone Scaling Modulation and Nonlinear Transport Suppression: A Structural Mechanism in Directed Stochastic Growth

Power-law scaling appears ubiquitously in complex systems, including network growth, self-organizing processes, and critical phenomena. Most generative models produce scaling behavior with fixed exponents determined by topology rules or attachment kernels. Mechanisms capable of generating smoothly tunable scaling exponents without modifying underlying topology remain limited. We investigate constraint-weighted admissible growth, a stochastic extension process in which candidate structural increments are selected via an exponential compatibility kernel penalizing dispersion. Varying a single constraint parameter produces a monotone dependence of the time-scaling exponent while preserving topology rules. Beyond…