Article Index

Catalog of AffineDrift textbooks, article series, standalone notes, reference articles, and reviews

This page inventories the article and textbook material currently rendered from the AffineDrift repository. Labels such as canonical, reference, and exploratory describe editorial status on the site; they do not imply peer-review status.

How to Use This Catalog

Start with Overview if you want the site’s scope and evidence standards.

Use The Physics of Golf, The Geometry of Motion, and Proximal-to-Distal Energy Transfer in the Golf Swing as the two textbooks and the governed technical monograph. The monograph is a computational publication rather than a completed or peer-reviewed textbook.

Treat the tangent-space series as the canonical rendered reading path. The older Tangent Hyperplane Contraction workspace and draft packages now redirect into that seven-part path rather than rendering as parallel article sets.

Textbooks

Core Textbook Entries

The Physics of Golf: golf-specific textbook treatment of mechanics, control, and biomechanical modeling.
The Geometry of Motion: broader mathematical series covering rigid-body dynamics, control, biomechanics, neural control, and simulation.
Proximal-to-Distal Energy Transfer (Technical Monograph): full 37-chapter mathematical monograph on distal handoff timing, multi-station Coulomb friction, interface power ledgers, and Latin Hypercube parameter sweeps.

Book Series Volumes

All Books and Textbooks: navigation page for core textbooks and working book-series volumes.
Volume I: Tangent-Space Methods for Nonlinear Control: foundations of tangent-space exactness, contraction, local optimal control, and counterfactual decomposition.
Volume II: Control Is Motion: trajectory-centric nonlinear control and geometric mechanics framing for high-dimensional motion.
Volume III: Biomechanics - Biology to Systems: biomechanical modeling, experimental pipelines, and inference workflows.
Volume IV: Human Motor Control: neural architecture, dimensionality reduction, internal models, and movement intelligence.

The Physics of Golf Chapters

The Geometry of Motion Chapters

Canonical AffineDrift Series

Drifter Manifesto overview: primary AffineDrift series on the control-affine description of the golf swing.
Drifter Manifesto (Single-File Edition): comprehensive single-file edition of the foundational control-affine golf swing manifesto.
Theory Part 1: state definition, modeling assumptions, and derivation of the control-affine form.
Theory Part 2: drift/input separation and the zero-torque and zero-velocity counterfactual constructions.
Theory Part 3: taxonomy, invariants, and scope conditions for the framework.
Theory Part 4: derivations, wrench-based views, and supporting pendulum examples.
Theory Part 5: implementation notes and Simulink-oriented technical documentation.

Tangent-Space and Contraction Work

Tangent-Space Series landing page: editorial overview, provenance note, and reading order for the tangent-space material.
Compact Part I: Geometry: short orientation page on tangent-space geometry and finite-step residuals.
Compact Part II: Dynamics: short orientation page on variational dynamics along a reference trajectory.
Compact Part III: Control: short orientation page on LQR, iLQR, and DDP as local methods.
Compact Part IV: Residuals and Curvature: short orientation page on residual scaling and limits of linearized predictions.
Compact Part V: Contraction: contraction certificates as tangent-space stability statements.
Compact Part VI: Hybrid Systems: saltation maps, mode changes, and the limits of smooth tangent reasoning.
Compact Part VII: Residual-Aware Control: residuals as trust-region, controller-switching, and validation signals.

Biomechanical and Energy Transfer Studies

Proximal-to-Distal Energy Transfer in the Golf Swing: counterfactual dynamics analysis of distal handoff timing, segment work budgets, and parametric energy transfer.
How a Golf Swing Carries Energy: a visual, book-like route through the same mechanics, with plain-language explanations, model boundaries, and direct paths into the open evidence.
Proximal–Distal Claim, Alternative, and Falsification Atlas: six governed questions linking prominent claims to alternative mechanisms, discriminating measurements, uncertainty, exact falsifiers, critiques, and provider-workflow availability.
Why an Optimized Double Pendulum Stops Its Hands: an exact impact-optimality result showing that a point-mass-clubhead model’s speed-optimal swing stops the hands, and the structural limit that exposes.
Explore the Proximal–Distal Models (Workbench): interactive model exploration workbench for proximal-to-distal dynamics.
Multibody Dynamics: Drift, Control, and the Geometry of Physical Law: comparative article linking several dynamics formalisms to the same drift/control split.
Intentional Constraint Collapse at Impact: exploratory note on impact-time constraint structure.
Interpretation of Inverse Dynamics: limits of inverse-dynamics inference and force-attribution claims.
Constraint Torques at the Wrist: wrist/grip torque transmission with an interactive visualization.
Superposition in Affine Control Systems: superposition with respect to inputs in control-affine mechanics.
Controllability and Drift-Control Ratio: controllability analysis framed around drift/control balance.
Natural vs Active Forces and Torques in Affine Mechanical Systems: passive versus applied contributions in a double-pendulum example.
On the Limits of Strokes-Gained Inference for Individual Golfers: constraints on what strokes-gained style statistics can support.
Secondary Axis Stability in Golf Clubs: mechanical note on rotational stability and club behavior.
Degrees of Freedom and the Curse of Dimensionality: coordination complexity in high-dimensional movement systems.
Ideomotor Theory and the Predictive Brain Model: conceptual article linking motor-control theory and prediction-based views of action.
Passive Distributed Control: Frans Bosch Framework: commentary on Bosch’s framework in relation to passive dynamics.
Zero-Torque Counterfactual: short note on the zero-torque counterfactual construction used throughout the site.

Technology, Measurement & Simulation

Impact Mechanics and Ball Flight: A Reference Treatment: comprehensive reference treatment of rigid-body collision, gear effect, ball flight laws, and closure rate.
Club Fitting Simulation and Parameter Identification: forward multibody dynamics, spatial screw theory, and watertight mesh inertia identification for deterministic club fitting.
Multibody Impact Coupling and the Heavy Hit Hypothesis: contact time scales, elastic wave transit, and the tau-squared decoupling law refuting the heavy hit.
Force Measurement Technology: Plates, Pressure, and the Ground Reaction Wrench: force plates, pressure mapping, and ground reaction wrench measurement.
Launch Monitor Technology: Measurement and Inference: optical, radar, and hybrid tracking systems, state reconstruction, and uncertainty.
Markerless Mocap Camera Selection: source-bounded industrial camera candidates, selection calculations, licensing boundaries, and a fail-closed two-camera shop pilot.
Motion Capture Technology: Reconstruction, Artefact, and the Rotation Problem: optical marker sets, skin movement artefact, and 3D rotational kinematics.
Launch Monitor Vendor Reference: comparative reference of commercial launch monitor hardware, coordinate systems, and specifications.
Simulating the Green: Surface Mechanics and Trajectory Modeling: ball-turf contact dynamics, grain modeling, and rolling mechanics.
The Physics of the Rolling Putt: true-roll transitions, skid phases, and surface friction models.
The Reference-Point Problem in Club Delivery Data: coordinate frame alignment and measurement ambiguity in club delivery metrics.
Rotation-Induced Spin: Gear Effect Without an Off-Centre Strike: mathematical derivation of closing-rotation spin generation through the contact patch.

Reference and Companion Articles

Affine Control Interpretation of the Golf Swing: alternate long-form manuscript covering the same central framework from a different editorial path.
Applications of the Control-Affine Framework in Golf Swing Biomechanics: application-focused companion article.
Inverse Dynamics Inference: extended note on inference limits in inverse-dynamics settings.
Nonlinear Control Theory Insights: conceptual companion note on causal interpretation and open questions.
Force and Mobility Ellipsoids in the Golf Swing: Jacobian-based force/mobility interpretation.
The Null Space of the Constraint Jacobian: constrained versus unconstrained motion in multibody systems.
Classic Sources of Nonlinearity in Mechanical Systems: catalog of nonlinear effects relevant to modeling assumptions.
Lagrangian Reference for Control-Affine Multibody Dynamics: energy-based derivation of the drift/input split.
Screw Theory Reference for Control-Affine Multibody Dynamics: coordinate-free reference treatment using twists and wrenches.