Geometric Law

Symmetry, Invariance, and the Structure of Legal Reasoning

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

Spring 2026 · Book 5 of the Geometric Series

Front Matter

  1. Preface
  2. Core Objects at a Glance

Part I: The Problem

  1. Chapter 1: The Binary Verdict and the Scalar Sentence
  2. Chapter 2: Hohfeld's Original Insight

Part II: The Framework

  1. Chapter 3: The Judicial Reasoning Space
  2. Chapter 4: The Legal Metric
  3. Chapter 5: The D₄ Hohfeldian Group
  4. Chapter 6: Precedent as Heuristic Field

Part III: Dynamics and Symmetry

  1. Chapter 7: Constitutional Review as Path Homology
  2. Chapter 8: Equal Protection as Gauge Invariance
  3. Chapter 9: Stare Decisis as Parallel Transport

Part IV: Failure Modes

  1. Chapter 10: Legal Failures as Geometric Pathologies
  2. Chapter 11: Sentencing Disparities as Gauge Violation Tensors
  3. Chapter 12: The Adversarial System as Manifold Exploration

Part V: Applications

  1. Chapter 13: Contract Law as Boundary Construction
  2. Chapter 14: International Law as Multi-Manifold Diplomacy
  3. Chapter 15: AI Legal Reasoning

Part VI: Horizons

  1. Chapter 16: Open Questions