Economics Wiki — CES Curvature Theory

Foundations

10

What CES is, where it comes from, and why it matters

12

Nine phenomena controlled by one parameter K

8

CES curvature equals the Fisher information metric

93	Fisher Information Bridge
85	The Estimation Paradox
83	The Bridge Theorem
80	Cumulant Hierarchy
77	Mechanism Efficiency Bound
73	Pythagorean Welfare Decomposition
73	The Cumulant Tower
68	The rho-Diversity Index

8

The energy landscape on which economies move

90	Effective Curvature3D
83	The CES Potential
80	The Regime Diagram3D
77	Information Friction
74	$q$ -Exponential Equilibrium and Heavy Tails
72	Variance-Response Identity
68	Arrow Information Content
66	Tsallis Entropy

22

How curvature degrades, crises unfold, and recovery works

14

Multi-level economies with timescale separation

90	Welfare Decomposition
88	The Eigenstructure Bridge
85	Hierarchical Systems
85	Damping Cancellation3D
83	The Fundamental Triad
81	Renormalization Group for CES
80	Port Topology: Derived Architecture
77	Moduli Space of Hierarchical Economies
77	Spectral Hierarchy
75	Upstream Reform Principle
70	Network CES
67	Input-Output Structure
66	Activation Threshold R0
64	Baumol Bottleneck and Triffin Dilemma

8

Four schools unified on one surface

70	Impossible Trinity in the CES Framework
68	Trade Unification
66	Bilateral Trade and Friction
65	Spectral Gap and Trade
65	Trade Collapse
59	Open Economy Monetary Transmission
59	Gravity Model
57	ACR Identity

11

Concentrated investment finances its own disruption

82	Mesh Formation
80	Diversity Premium
80	Model Collapse Protection
76	Wright's Law and Learning Curves
76	Self-Undermining Investment
76	Generalized $R_{0}$ Crossing
74	AI Capex Overinvestment
72	Training-Inference Bifurcation
70	Knowledge Commons Dynamics
67	Baumol Bottleneck
58	Crossbar Memory

12

Settlement feedback and policy degradation

75	Settlement Feedback Loop
74	Time Inconsistency and the Upstream Reform Principle
72	Monetary Productivity Gap
69	Synthetic Gold Standard
69	Treasury Absorption
69	Liquidity Trap in the CES Framework
69	Monetary Policy Degradation
68	Dollarization Spiral
66	Kyle's Lambda
64	Kyle's Lambda and Mesh Participation
64	Settlement Reproduction Number $R_{0}$
59	CBDC Self-Undermining

12

Tests, formalization, and estimation

79	CES-Optimal Leading Indicator (COLI)
79	Basel III Natural Experiment
78	Empirical Scorecard
77	Geometric Dimension
75	Indicator Classification from CES Theory
72	Lean 4 Formalization
71	EMD Timescale Discovery
69	Beveridge Curve Shift
69	Dispersion Indicator
64	Effective Curvature Test
55	India 2022 Tax Experiment
48	China Mining Ban

7

Firm scope, entry/exit, and market structure through the CES lens

77	Increasing Returns to Scale
70	Market Structure Classification
65	Optimal Firm Scope
58	Heterogeneous Firms
58	Firm Failure & Resilience
54	Two-Sided Platforms
53	Monitoring Costs

9

Growth, directed technical change, and fiscal policy with CES aggregation

71	Energy Effective Curvature
71	Green Energy Transition
70	CES Social Welfare
70	Two-Factor CES Production
69	Fair Inheritance
62	CES Tax Theory
58	Directed Technical Change
56	CES Solow-Ramsey Growth
52	Euler Equation and Intertemporal Elasticity

86	The Smirl Curve: Efficiency-Fragility Tradeoff3D
84	Crisis Sequence3D
84	Variance Collapse and Model Collapse
84	Crisis Duration
83	Correlation Convergence
81	$ρ$ -Ordering of Crises
81	Onsager Reciprocity
77	Conservation Laws
77	Early Warning Signals
77	Two-World Economy: Prices vs. Quantities
76	Temporal Ordering Rules
76	The Correlation Dual
76	Great Moderation Discrimination
75	Endogenous rho
75	Phillips Curve and Endogenous Business Cycles
75	Endogenous Tipping and Self-Organized Criticality
74	Entry-Exit Dynamics
72	The Minsky Trap
71	Oscillation Periods
71	Compound Symmetry
70	Regime Shift: Fold Bifurcation and Hysteresis
69	Jarzynski Bound and Kramers Escape Rates