The Physics Mandate relies on five core claims that connect the mathematical abstractions of the Inverse Scaling Law to the empirical reality of the physical universe.
Claim 0 — Empirical Validation in Modular AI Systems ✅
Logic: For modular computational systems with sparse activation and cache-enabled routing, operational cost decreases deterministically as the number of specialized modules increases.
Evidence: LEGO-MoE MVP validation (2.4% error rate). This claim provides the empirical foundation for all subsequent theoretical claims.
Claim 1 — The ISL is a Directional Constraint, Not a Replacement Law
Logic: The Inverse Scaling Law does not supersede physical laws; it constrains the direction in which physically realizable systems evolve under them.
It introduces no new constants and modifies no equations. It is consistent with General Relativity, QFT, and Thermodynamics.
Claim 2 — Known Physical Bounds Are Efficiency Extremes
Logic: The Bekenstein Bound and holographic limits represent boundary cases where information density is maximized under minimum realizable complexity.
They are not “mysterious limits,” but efficiency saturation points.
Claim 3 — Energy, Information, and Time Are Coupled by Complexity
Logic: For any bounded physical system, increases in representational or structural complexity impose unavoidable costs in time, energy dissipation, or entropy.
This aligns ISL with Landauer’s principle and the principle of Least Action.
Claim 4 — Black Holes Are Optimal Encoders, Not Paradoxes
Logic: Under the ISL, black holes emerge as minimum-complexity solutions for maximal information density, rather than violations of information conservation.
The Loop is Complete.