Geometric Politics

Representation, Polarization, and the Topology of Democratic Choice

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

Spring 2026 · Book 10 of the Geometric Series

Part I: The Problem (Ch. 1–3)

  1. Chapter 1: The Left-Right Trap
  2. Chapter 2: The Polling Paradox
  3. Chapter 3: From Agora to Algorithm

Part II: The Framework (Ch. 4–9)

  1. Chapter 4: The Political Preference Manifold
  2. Chapter 5: Voting as Forced Contraction
  3. Chapter 6: Campaigns as Heuristic Fields
  4. Chapter 7: Arrow's Theorem, Geometrized
  5. Chapter 8: Polarization as Dimensional Collapse
  6. Chapter 9: Gerrymandering as Manifold Surgery

Part III: Applications (Ch. 10–14)

  1. Chapter 10: The Overton Window as Geodesic Constraint
  2. Chapter 11: Media as Heuristic Corruption
  3. Chapter 12: Coalition Building as Pareto Optimization
  4. Chapter 13: Ranked Choice as Dimensional Recovery
  5. Chapter 14: Deliberative Democracy as Manifold Exploration

Part IV: Measurement & AI (Ch. 15–16)

  1. Chapter 15: The Political Bond Index
  2. Chapter 16: AI in Politics

Part V: Synthesis (Ch. 17–18)

  1. Chapter 17: What Politics Teaches the General Theory
  2. Chapter 18: Open Questions