Claim Ledger

critique
Every registered AffineDrift scientific claim in one place: its plain-language statement, its formal statement, its evidence rung, its falsifiers, its open critiques, and the pages that make it.

The rest of the site states scientific claims inline, in running prose, on the page that needs them. This page instead collects every claim registered in the governed claim registry in one readable ledger: what it says in plain language, what it says formally, which evidence rung it currently occupies, what would falsify it, which critiques target it and their disposition, and which pages make the claim. It replaces reading the raw registry JSON to answer “what does AffineDrift actually claim, and how solid is it?”

WarningScientific Authority Boundary

Presentation cannot promote a claim or infer human, coaching, clinical, equipment, design, causal, or population authority. A claim’s evidence rung describes what its declared model and evidence class currently support — not that the claim is true of any golfer, population, or real-world outcome.

How to Read a Claim Card

Each card below carries a human-readable anchor (for example #claim-ad-dcr-001) so it can be linked to directly. The plain-language statement is a non-amplifying summary; the formal statement is the exact governed claim text and its modal strength (hypothesis, bounded, supported, or established); the evidence rung places the claim on the same nine-level tier ladder (from Mathematical Identity to Superseded / Revoked) that src/affine_control/evidence_presentation derives for every governed claim; falsifiers are the declared conditions that would refute or materially narrow the claim; critiques lists every entry in the critique ledger whose related_claim_ids names this claim, with its current disposition; and pages making this claim lists every page that authors or cites it.

NoteDCR Is Not a Reachability Certificate

Mathematical Identity (Adjudicated)

Claim ID: ad-dcr-001

Plain-language statement: A large DCR may flag a modeled acceleration imbalance worth investigating. It does not prove that a golfer is locked-in or that a future correction is unavailable.

Formal statement (Bounded): Within a declared model, DCR compares the magnitudes of modeled drift acceleration and the largest modeled input acceleration in chosen coordinates. DCR alone does not prove or determine finite-horizon reachability, path-correction authority, an impact outcome, or a locked-in golfer state.

Falsifiers:

  • For the scalar system x_dot = d + u with constant d, fixed horizon T, fixed bound |u(t)| <= U and no state constraints, changing d changes the reachable-interval width 2 U T.
  • A scalar DCR value alone uniquely determines a finite-horizon reachable set across admissible systems.

Critiques:

Pages making this claim:

Next validation gate: Run preregistered finite-horizon, three-dimensional golfer-club perturbation studies with declared controls, uncertainty, and impact outcomes.

NoteDrift-Control Ratio Trends and Their Dependence on the Chosen Kinetic-Energy Metric

Mathematical Identity (Not Reviewed)

Claim ID: ad-dcr-002

Plain-language statement: In the declared swing model, the ratio of drift to control often grows late in the downswing, but how much it grows, and whether it crosses a given threshold, depends on which weighting or energy measure is used to compute it. This trend does not show that a real golfer or club loses the ability to correct the swing at that moment.

Formal statement (Bounded): Within a declared model, the Drift-Control Ratio (DCR) evaluated across a simulated downswing trajectory can trend toward drift-dominant values (DCR greater than 1) during the late downswing interval under the declared coordinates, input set, and norm. This trend, and its magnitude, are sensitive to the choice of weighting or kinetic-energy metric used to compare drift and input accelerations; changing the metric can change whether and when drift dominance appears. The trend does not establish that path-correction authority is actually lost at that instant for any physical golfer or golf-club system.

Falsifiers:

  • A declared downswing trajectory and admissible input set for which DCR does not vary with the choice of weighting or kinetic-energy metric.
  • A single scalar DCR threshold that reproduces the same drift-dominance timing across every declared metric choice for the same trajectory.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered multi-metric sensitivity sweeps across declared downswing trajectories, reporting DCR trends under at least three independent weighting choices.

NoteControl-Affine Decomposition Is an Exact Equation-of-Motion Identity

Qualified Simulation (Not Reviewed)

Claim ID: ad-decomp-001

Plain-language statement: The swing's equations of motion can be rearranged into a drift part (what the body does under its own inertia and gravity) and a control part (what applied joint torques add). This split is a bookkeeping identity of the declared equations, not a measurement of effort or an independent discovery about the body.

Formal statement (Bounded): For a declared rigid-body or multibody system with generalized coordinates x and admissible generalized forces u, the equation of motion can be written in the control-affine form x_dot = f(x) + G(x) u, where f(x) collects the uncontrolled drift dynamics (inertial, Coriolis, centrifugal, and gravitational terms) and G(x) is the input-mapping matrix for u. This split is an algebraic identity of the declared Newton-Euler or Lagrangian equations, not an independent physical hypothesis, a causal attribution of effort, or a claim about which segment of a human swing drives another.

Falsifiers:

  • A declared rigid-body equation of motion that cannot be rearranged into x_dot = f(x) + G(x) u for any admissible choice of f and G.
  • The control-affine split alone determines the physiological source of torque, a coaching cue, or a causal ordering between swing segments.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered multibody simulation studies that compare the declared f(x), G(x) split against an independently derived equation-of-motion model for the same mechanical system.

NoteIntentional Constraint Collapse Describes a Declared Schedule of Relaxing Modeled Constraints Toward Delivery

Qualified Simulation (Not Reviewed)

Claim ID: ad-icc-001

Plain-language statement: In the declared model, constraint collapse means a planned, timed loosening of modeled restrictions, like fixed joint relationships, as the swing nears delivery, which changes what motions the model allows at that point. This describes a scheduled change in the model, not a measurement of what a golfer intends or decides to do.

Formal statement (Bounded): In a declared multibody swing model, intentional constraint collapse refers to a specified, time-indexed schedule by which modeled holonomic or control constraints, for example fixed joint relationships or torque limits, are relaxed or removed approaching the declared delivery horizon, producing a corresponding change in the system's reachable or admissible motion set under that model. This is a property of the declared constraint schedule and model, not a claim about the neuromuscular intent, timing, or strategy of any human golfer.

Falsifiers:

  • A declared constraint-relaxation schedule for which the modeled reachable or admissible motion set does not change as constraints are relaxed.
  • The reported change in admissible motion is not reproducible under independent re-evaluation of the same declared schedule and model.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered sweeps across declared constraint-relaxation schedules, reporting the sensitivity of the resulting admissible motion set to timing choices.

NoteFinite-Duration Impact-Interval Energy and Momentum Accounting Is Fail-Closed Without Declared Contact Parameters

Qualified Simulation (Not Reviewed)

Claim ID: ad-impact-001

Plain-language statement: Over the short time the clubhead and ball are in contact, how momentum and energy change is worked out from the declared contact model, meaning how springy the contact is, how long it lasts, and the force profile. If that contact model is not fully specified, the result is treated as unverified rather than assumed to follow any one simple collision rule.

Formal statement (Bounded): For a declared finite impact interval from t0 to t1 with a specified contact force or impulse model, the change in system momentum and kinetic energy over the interval is determined by the declared contact model and boundary conditions, and is reproducible from those declarations by direct integration or impulse-momentum accounting. In the absence of a fully declared contact model, including coefficient of restitution, contact duration, and force profile, the energy or momentum accounting for the interval is treated as unqualified and does not default to an idealized, for example perfectly elastic or inelastic, assumption.

Falsifiers:

  • A declared contact model and interval for which the computed momentum or energy change does not reproduce under independent re-integration of the same declared force or impulse profile.
  • A reported impact outcome that is produced without a fully declared contact model yet is treated as verified rather than unqualified.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered instrumented-impact studies that compare declared contact-model momentum and energy predictions against independently measured launch-monitor or force-plate impact data.

NoteProximal-to-Distal Sequencing Is an Energy-Transfer Property of Declared Coriolis and Centripetal Coupling Terms

Qualified Simulation (Not Reviewed)

Claim ID: ad-pds-001

Plain-language statement: In the declared chain model, the way segments are coupled through Coriolis and centripetal terms lets kinetic energy move from inner segments toward outer segments as the model is simulated, producing a speed-up ordering along the chain. This describes a property of the declared model and its equations, not a claim that every golfer's body moves this way or that this is the only contributor to clubhead speed.

Formal statement (Bounded): In a declared multibody chain model, the Coriolis and centripetal terms that couple proximal and distal segment states can transfer kinetic energy between segments along the chain during a simulated motion, producing a proximal-to-distal ordering of peak angular speed consistent with the declared model's coupling structure. This is a property of the declared equations of motion and initial or boundary conditions, not a claim that every human swing exhibits this exact ordering or that the transfer is the sole or dominant cause of distal-segment speed.

Falsifiers:

  • A declared chain model and parameter set for which the simulated peak-speed ordering does not follow the proximal-to-distal direction predicted by its Coriolis and centripetal coupling.
  • The reported energy-transfer ordering is not reproducible under independent re-integration of the same declared equations and conditions.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered perturbation studies across declared chain topologies and parameters, reporting the stability of the proximal-to-distal ordering.

NoteSecondary-Axis Stability Bounds Are Sensitive to Declared Torsional and Inertial Parameters Near Impact

Qualified Simulation (Not Reviewed)

Claim ID: ad-sas-001

Plain-language statement: In the declared clubhead model, whether the clubface twists in a stable or unstable way around its secondary axis near impact depends on modeling choices like stiffness and inertia distribution, and small changes in those choices can change the predicted outcome. This describes sensitivity within the declared model, not a measurement of a specific real club or golfer's impact.

Formal statement (Bounded): In a declared rigid-body clubhead model near impact, the stability of rotation about the secondary, non-grip axis depends on the declared torsional stiffness, moment of inertia distribution, and impact impulse parameters; small declared changes in these parameters can change whether the modeled secondary-axis rotation remains bounded or grows within the simulated impact interval. This sensitivity is a property of the declared rigid-body and impact model, not a measured clubface behavior for any specific club or golfer.

Falsifiers:

  • A declared clubhead and impact model for which secondary-axis rotation stability does not change under any tested variation of torsional stiffness or inertia distribution.
  • The reported sensitivity is not reproducible under independent re-simulation of the same declared parameters and impact interval.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered parameter sweeps across declared torsional stiffness and inertia values, reporting the resulting secondary-axis stability boundary.

NoteLinear Superposition Does Not Hold for Coupled Multibody Swing Dynamics

Mathematical Identity (Not Reviewed)

Claim ID: ad-superpos-001

Plain-language statement: Because the swing's parts are coupled and the equations are nonlinear, adding up the separate effects of two inputs does not generally give the same result as applying both together in the declared model. A reproducible example trajectory shows this breakdown directly. This does not say which specific mechanical coupling caused a particular mismatch.

Formal statement (Bounded): For a declared coupled multibody swing model with configuration-dependent mass, Coriolis, and centrifugal terms, the response to a sum of two generalized-force inputs is not, in general, equal to the sum of the responses to each input applied separately; an explicit counterexample trajectory exhibiting this nonadditivity is reproducible from the declared equations. This failure of superposition is a structural property of the nonlinear coupled dynamics and does not by itself identify which physical coupling mechanism is responsible for a given discrepancy.

Falsifiers:

  • A declared coupled multibody model for which the summed response to two inputs equals the sum of the separate responses to within numerical tolerance for all tested input pairs.
  • The reported nonadditivity vanishes under independent re-integration of the same declared equations and initial conditions.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered input-pair sweeps across declared multibody trajectories, reporting the distribution of superposition-error magnitudes.

NoteTangent-Space Contraction Describes Local Linearized Sensitivity Along a Declared Nominal Trajectory

Qualified Simulation (Not Reviewed)

Claim ID: ad-tsc-001

Plain-language statement: Near the declared idealized downswing path, small deviations from that path can shrink over certain stretches, according to the model's local linear approximation. This only describes behavior close to one declared path and does not show that the full nonlinear swing is stable everywhere or that a real golfer's swing resists all disturbances.

Formal statement (Bounded): For a declared nominal downswing trajectory and its linearized, tangent-space dynamics, the evolution of small declared perturbations can exhibit contraction, decreasing perturbation magnitude, over specified sub-intervals, as determined by the eigenstructure or singular values of the declared linearization. This is a local, linearization-dependent property evaluated along one declared nominal trajectory; it does not establish global stability of the nonlinear system or robustness of any specific golfer's swing to arbitrary perturbations.

Falsifiers:

  • A declared nominal trajectory and linearization for which the reported contraction over a stated sub-interval does not reproduce under independent recomputation of the same eigenstructure or singular values.
  • A declared perturbation within the stated small-perturbation regime that grows where contraction was reported, under the same linearization and norm.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered finite-perturbation studies comparing linearized contraction predictions against full nonlinear re-simulation across declared sub-intervals.

NoteThe Wrist Universal-Joint Model Transmits Torque Through Two Declared Rotational Degrees of Freedom

Qualified Simulation (Not Reviewed)

Claim ID: ad-wuj-001

Plain-language statement: The model treats the wrist as a joint with two independent rotation directions, similar to a mechanical two-axis joint, and how torque passes through each direction depends on the current joint angles in the declared model. This is a simplified mechanical model, not a full account of the wrist's ligaments, tendons, or soft tissue.

Formal statement (Bounded): In a declared universal-joint representation of the wrist, applied torque is transmitted through exactly two declared rotational degrees of freedom, for example flexion-extension and radial-ulnar deviation, and the resulting output torque or motion about each axis depends on the declared joint-angle configuration, consistent with standard universal-joint kinematics. This is a property of the declared idealized joint model, not a complete anatomical account of human wrist ligament, tendon, or soft-tissue mechanics.

Falsifiers:

  • A declared universal-joint configuration for which the computed output torque or motion about either axis does not match standard universal-joint kinematics.
  • The transmission relationship changes under independent re-evaluation of the same declared joint-angle configuration.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered comparisons between the declared two-degree-of-freedom model and a higher-fidelity wrist model that includes soft-tissue compliance.

NoteThe Zero-Torque Counterfactual Isolates Passive-Release Dynamics Within a Declared Model

Qualified Simulation (Not Reviewed)

Claim ID: ad-ztcf-001

Plain-language statement: The pointwise ZTCF family asks what would happen if the muscles stopped pushing right now, inside the model. It shows how much of the motion is carried by momentum, gravity, and linkage geometry alone, within the declared model. It does not show what a golfer's muscles were actually doing or prove that one release mechanism exists.

Formal statement (Bounded): For a declared multibody swing model, the pointwise Zero-Torque Counterfactual (ZTCF) evaluates the forward dynamics at a given state with all joint torque inputs set to zero, and the stitched ZTCF trajectory re-integrates this zero-torque condition forward from a sequence of such states. Both quantify the passive (inertial, Coriolis, centrifugal, and gravitational) contribution to acceleration or trajectory evolution within the declared model and parameters. ZTCF values do not establish what a human golfer's neuromuscular system actually contributed at that instant, nor do they identify a unique physiological release mechanism.

Falsifiers:

  • A declared forward-dynamics model and parameter set for which the zero-torque forward simulation cannot be reproduced from the stated initial conditions.
  • The stitched ZTCF trajectory for a fixed model and parameter set is not reproducible across independent re-integrations of the same equations.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered sensitivity studies comparing pointwise and stitched ZTCF trajectories against independently measured passive-release benchmarks under declared controls.

NoteThe Zero-Velocity Counterfactual Isolates a Static Gravitational and Postural Baseline Within a Declared Model

Qualified Simulation (Not Reviewed)

Claim ID: ad-zvcf-001

Plain-language statement: ZVCF asks what torque would be needed just to hold a position still, with no motion at all. It isolates gravity and posture from momentum and swing-specific forces, within the declared model. It does not measure the torque present during the real, moving swing.

Formal statement (Bounded): For a declared multibody model at a fixed configuration, the Zero-Velocity Counterfactual (ZVCF) evaluates the generalized forces or joint torques required to hold that configuration with all generalized velocities set to zero, isolating the gravitational and postural contribution at that configuration from inertial and Coriolis effects. ZVCF values are a property of the declared static configuration and model parameters; they do not establish the torque present during actual motion, nor a causal account of how a golfer reaches that configuration.

Falsifiers:

  • A declared static configuration and parameter set for which the required holding torque cannot be reproduced from the stated inertial and gravitational model.
  • The ZVCF baseline for a fixed configuration changes under re-evaluation of the same declared model and parameters.

Critiques:

  • No critiques are currently linked to this claim.

Pages making this claim:

Next validation gate: Run preregistered static-posture studies that compare declared ZVCF holding-torque predictions against independently measured postural force-plate or load-cell baselines.

Add or Revise a Claim

Claims are governed data, not prose. Add or revise an entry in data/trust/claim_registry.json against its strict schema, link any critique that concerns it in data/trust/claim_critique_ledger.json, then regenerate this page and its per-page links:

python -m scripts.generate_claims_ledger
python -m scripts.generate_claims_ledger --check
python -m pytest tests/test_claims_ledger.py

Citation

BibTeX citation: Download .bib
@online{untitled,
  author = {},
  title = {Claim {Ledger}},
  url = {https://affinedrift.com/evidence/claims.html},
  langid = {en}
}
For attribution, please cite this work as:
“Claim Ledger.” n.d. https://affinedrift.com/evidence/claims.html.