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Book v1.1 · June 2026 · K.W. Norton

Mathematical Quantum Angels

A Companion Volume to A Transdisciplinary Study Guide

The Acoustic Fossil · A Renaissance in Progress

Complete original edition · 77 pages · Free to read

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Original Mathematical Quantum Angels title page with its logarithmic spiral

Contents

Before the book

  1. A Note Before the Book3
  2. Contents4
  3. Epigraph6
  4. Preface7

Part One · The Acoustic Fossil

  1. I · The Drone Before Notation9
  2. II · Mensural Time and the Secular Hour14
  3. III · Vivaldi's Stabat Mater — The Fractal of Pain19
  4. IV · Bach, Es ist vollbracht — The Fermata as Field24
  5. V · The Physics of the Turn30
  6. VI · La Valse — The Autopsy36
  7. VII · Coltrane and the Re-opening42
  8. VIII · The Tone, Heard Differently49

Part Two · Mathematical & Quantum Foundations

  1. I · The Substrate Listens Back55
  2. II · Three Structural Pillars56
  3. III · Quantum Proof: Non-Separability57
  4. IV · The Physics of the Leap58

Part Three · A Renaissance in Progress

  1. I · The Second Renaissance, Auditioned60
  2. II · The Participatory Imperative65
  3. III · A Living Witness: Nemanja Radulović69
  4. IV · A Second Living Witness: Stefan Plewniak72
  5. V · Gravity's Mathematical Angels74
  6. Colophon77