Fisher Information Bridge

The log-Hessian bridge: $- \nabla^{2} (lo g F) ∣_{1^{⊥}} = \frac{1 - ρ}{ρ ^{2}} \cdot I_{Fisher}$ . CES curvature $K$ unifies economic and statistical curvature.

Information Geometry Bridge93

Impact Score

Economic Importance

9.0

Novelty

10.0

Theoretical Coverage

10.0

Empirical Coverage

8.0

Article Quality

10.0

Score Reasoning

Importance: Core spine result: the log-Hessian bridge connecting CES curvature K to Fisher information. Unifies economic and statistical curvature. Foundation for the information geometry bridge.
Novelty: Completely new theorem: -nabla^2(log F)|_{1perp} = (1-rho)/rho^2 * I_Fisher. This bridge between production economics and information geometry has no precedent in the literature.
Quality: Excellent article at 5462 chars with clear mathematical presentation, 3 inbound links, and thorough treatment of the bridge and its implications.