Geometric Economics

Decision Manifolds, Equilibria, and the Geometry of Markets

Andrew H. Bond
Senior Member, IEEE · Department of Computer Engineering · San Jose State University

Spring 2026 · Book 4 of the Geometric Series

Front Matter

  1. Preface & Core Objects at a Glance

Part I: The Problem

  1. Chapter 1: The Scalar Economy
  2. Chapter 2: Historical Precursors

Part II: The Framework

  1. Chapter 3: The Economic Decision Manifold
  2. Chapter 4: The Economic Metric
  3. Chapter 5: The Price Signal as Heuristic Field
  4. Chapter 6: Economic Tensors and Scalar Irrecoverability

Part III: Dynamics and Symmetry

  1. Chapter 7: The Bond Geodesic Equilibrium
  2. Chapter 8: Market Symmetries and Gauge Invariance
  3. Chapter 9: Conservation Laws for Economics

Part IV: Failure Modes

  1. Chapter 10: Market Failures as Geometric Pathologies
  2. Chapter 11: Financial Crises as Curvature Singularities
  3. Chapter 12: Inequality as Metric Distortion

Part V: Applications

  1. Chapter 13: Trade as Geodesic Exchange
  2. Chapter 14: Regulation as Boundary Enforcement
  3. Chapter 15: The Discount Rate as Geodesic Curvature

Part VI: Horizons

  1. Chapter 16: Open Questions