The Inverse Scaling Law as the Deterministic Mandate for the Riemann Hypothesis An Efficiency-Based Research Program

This work proposes the Inverse Scaling Law (ISL) as a cross-domain efficiency principle that may provide new perspectives on the Riemann Hypothesis (RH).

The paper does not claim a formal mathematical proof. Instead, it presents a physical heuristic framework and research program, arguing that configurations with Riemann zeros off the critical line appear inconsistent with minimal-complexity principles observed across computation, biology, economics, and physics.

The work includes:

• An executive summary for rapid comprehension

• Empirical cross-domain validation of the ISL

• Formal complexity definitions for number-theoretic functions

• Seven falsifiable, testable predictions

This submission is intended as an open, time-stamped research proposal inviting scrutiny, validation, and extension by the mathematical and scientific community.