The Engineering of Mechanical Horology

The Definitive Treatise on Calibre Architecture, Kinematics, and Solid-State Horology.

For more than three centuries, mechanical watchmaking advanced through manual trial, proprietary bench secrets, and empirical tradition. While classic workshop manuals teach the apprentice how to repair an existing movement, they remain silent on the fundamental physical laws required to engineer a high-precision calibre from first principles.

The Engineering of Mechanical Horology: Complete Definitive Edition bridges the classical horological canon of George Daniels, Léon Defossez, and the WOSTEP school with modern 21st-century precision mechanics, computational kinematics, and DRIE silicon micro-fabrication. Spanning 524 pages, over 5,200 derived equations, and 67 bespoke vector linework blueprints, this monumental volume serves as the comprehensive peer reference for movement architects, restoration specialists, master watchmakers, and technical connoisseurs.

• Part I: Energy Generation & Drive Train Dynamics: Non-linear elastic torque curves of Nivaflex 45/5 superalloys; Archimedean packing fraction limits; Reymondin equal-area volumetric partition; boundary-layer and mixed hydrodynamic lubrication in jewel bearings.
• Part II: The Harmonic Oscillator & Chronometry: Pure continuum mechanics of torsional balance wheels; Navier beam deflection; isochronism perturbation integrals; differential geometry of Breguet/Phillips terminal overcoil curves.
• Part III: Escapement Mechanics & Constant Force: Kinematic impulse geometry of the Swiss lever; draw angle restoring vectors; zero-sliding radial impulse mechanics of the Daniels Co-Axial escapement; 1-second spring-driven remontoires d'égalité.
• Part IV: Materials & Manufacture Dissections: Comparative architectural teardown of modern manufacture benchmarks: Rolex Calibre 3235 (Chronergy efficiency), Omega Calibre 8900 (series twin-barrels and METAS Master Chronometer certification), and Patek Philippe Calibre 240/324 (micro-rotor inertia envelopes).
• Part V & VI: High Complications & Striking Acoustics: Column-wheel geometry vs. vertical-clutch stiction; rattrapante split-seconds isolator dynamics; secular 400-year perpetual calendar mechanics; acoustic impedance matching (Z = ρc) in cathedral gongs and platinum cases.
• Part VII & VIII: Silicon Frontiers & Haute Finition: Fourth-order anisotropic compliance tensors of monocrystalline silicon; parabolic thermal oxide (SiO2) zero-drift compensation; monolithic compliant flexures operating at 18 Hz; the 12 statutory rules of the Poinçon de Genève, TIMELAB 168-hour robotic certification, and manual zero-radius internal angle anglage (angles rentrants).

1. The Calibre Architect: Dimensioning gear tooth cycloidal profiles, power reserve budgets, and CAD volumetric envelopes.
2. The Master Watchmaker: Explicit numeric workshop tolerances (axial and radial ébat), lubrication viscosity schedules, and Witschi multi-positional rate diagnosis.
3. The High Complications Specialist: Kinetic resets, all-or-nothing striking pieces, and multi-axis tourbillon kinematics.
4. The Advanced Metrologist: Environmental shock elastodynamics, laser chronometry, and compliant micro-mechanisms.

Uncompromising in mathematical density and devoid of superficial marketing prose, this volume establishes the modern international reference standard for the science of mechanical timekeeping.