Proximal–Distal Claim, Alternative, and Falsification Atlas
This atlas is a compact reading aid for the full Proximal-to-Distal Energy Transfer technical monograph. It does not replace the monograph, adjudicate scientific consensus, or turn a model result into a statement about golfers. Each source claim, reported status, model domain, uncertainty boundary, and source-stated falsifier below is projected verbatim from the pinned claim authority. The explanations here and the fields labeled Editorial interpret the questions and comparison designs; they do not change the imported adjudication.
The atlas supports critical review. It is not coaching, clinical, equipment, participant-validation, or causal authority. Unavailable means no qualified workflow is registered for this atlas card. It does not mean no relevant software or study exists elsewhere. A later provider publication needs an explicitly verified registration before the atlas can present it as available.
This page maps claims about proximal-to-distal motion. For each claim it lists rival explanations, ways to compare them, and tests that could prove the claim wrong.
Tests That Could Fail
A falsifier is a result that would count against a claim. The atlas lists them. It does not report results that prove a claim, and it does not settle the science.
Status Differs by Source
A math identity, one computer run, and a hypothesis carry different weight. Matching one number, such as clubhead speed, can hide very different force histories.
Not Advice
One model result is not a statement about golfers. The page is not coaching, clinical, or equipment advice. Reading a stored result checks the number. It does not rerun the study.
Read the Statuses Separately
Source-Reported Claim Status belongs to the imported monograph’s adjudication. A mathematical identity, one numerical program, and a hypothesis have different evidential scopes even when their cards look similar. The source revision identifies that monograph snapshot. Critique Ledger Disposition and Readiness Record come from their separately maintained records; a readiness entry based on manufactured data is not a human experiment. Registered Validation Release and Registered Workflow report what this atlas has qualified for use, not whether the source proposition is true.
For example, the timing card reports differences from one 30 ms model branch: continuing rather than removing the selected torso, bilateral-arm, or bilateral-wrist command changes the model’s delivery-speed endpoint by approximately \(+1.223\), \(-1.364\), and \(+1.818\,\mathrm{m/s}\), respectively. These are three separate branch comparisons. These rounded values match the registered artifact at the imported revision. Reading that artifact verifies the reported values; it does not rerun the simulation or validate a golfer. In the wrist-command comparison, delivery-speed and contact-work differences even have opposite signs, so an increase in one selected endpoint is not a complete account of energy transfer.
Match the Question to the Comparison
A Common Endpoint Does Not Specify an Internal History
Matching one scalar, such as clubhead speed, leaves other terminal-state components and earlier forces unconstrained. This allows different histories to have the same selected outcome; it does not prove that every proposed history is dynamically or physiologically feasible. Declare the endpoint map, event and tolerance, then compare internal states, boundary work, loads and robustness under the same definitions.
A same-state intervention asks a different question. It changes a specified input after the model reaches a shared complete state. Activation, deformation, and other memory variables must be included if the model has them. Removing a command is not generally the same as instantly removing muscle or contact force. Subsequent feedback responses belong to the declared intervention policy; they must not be mistaken for independently held controls.
Equal Force and Equal Wrench Are Different Conditions
For ideal point-force vectors \(F_1,F_2\) applied at position vectors \(r_1,r_2\) relative to one reference point, the total force and moment vectors are
\[ \begin{aligned} F&=F_1+F_2,\\ M&=r_1\times F_1+r_2\times F_2. \end{aligned} \]
Adding \(d\) to one force and subtracting it from the other keeps \(F\) fixed but changes the moment by \((r_1-r_2)\times d\). The complete wrench is unchanged only if that moment increment also vanishes, for example when \(d\) lies along the contact-separation line. Intrinsic contact moments, friction, unilateral contact and force limits change the admissible family; they must be specified.
For the unrestricted point-force example with contacts at \(\pm0.2\,\mathrm{m}\) on the \(x\) axis, opposite \(7\,\mathrm{N}\) increments along \(x\) preserve the wrench. The same increments along \(y\) change its \(z\) moment by \(-2.8\,\mathrm{N\cdot m}\) when applied positively at the negative-\(x\) contact. This is a model identity, not a measured hand-force distribution.
An internal force pair can have zero total power on an ideal rigid club while the hands still carry different loads. Zero rigid-body work does not establish zero muscle effort, tissue deformation, or metabolic cost. Bilateral wrench sensors constrain contact allocation, but do not by themselves identify muscle coordination. Wrench and velocity quantities must use compatible reference points, frames and signs; the virtual-power derivation in Modern Robotics explains their dual mapping.
Coordinate Changes Preserve Physical Pairings, Not Arbitrary Fits
Write a force-only endpoint fit as \(\tau=J^TF+r\), retaining the generalized residual \(r\). For an invertible coordinate change \(q=S z\),
\[ \begin{aligned} \tau_z&=S^T\tau_q,\\ J_z&=J_qS,\\ \tau_q^T\dot q&=\tau_z^T\dot z. \end{aligned} \]
The power pairing is unchanged. Unweighted least squares in the two coordinate systems need not choose the same fitted \(F\): scaling a generalized coordinate changes the implicit residual weighting. In a nondimensionalized example with two generalized coordinates and a scalar fitted force, set \(J^T=(1,1)^T\) and \(\tau=(1,0)^T\). The least-squares force is \(0.5\). With \(S=\operatorname{diag}(2,1)\) it becomes \(0.8\) if the new residual is again unweighted; transforming the residual metric to \(\operatorname{diag}(1/4,1)\) restores \(0.5\).
Thus coordinate comparison needs the same physical trajectory, consistent covector and Jacobian transformations, and declared metrics. If the force fit has multiple minimizers, an additional minimum-norm choice selects among them; that choice is an allocation rule, not evidence that a biological system uses it. Reconstruction closure alone does not identify the physical wrench. Power and work also depend on the observer: compare them in the same observer frame; do not confuse coordinate invariance with observer independence. Likewise, projecting along a path tangent \(v/\|v\|\) requires nonzero velocity; at zero speed a separate convention is needed.
Support and Shaft Conditions Belong Inside the Energy Account
A stationary ideal support can exchange momentum while doing no work at its fixed contact. A prescribed moving base can exchange energy through its reaction force and velocity. Replacing either with a finite-mass dynamic base changes the equations and admissible states. A fair comparison maps compatible initial conditions and accounts for all boundary power; it does not assume that changing the base automatically eliminates a negative club couple.
Internal storage matters as well as boundary power. For a linear spring with displacement \(y\) in metres and stiffness \(k>0\) in \(\mathrm{N/m}\), \(U=ky^2/2\) and \(\dot U=ky\dot y\). The same nonzero deformation can be storing or releasing energy depending on the sign of \(y\dot y\). Peak stored energy therefore does not specify the timing, destination or usefulness of returned energy. Damping, actuation, contact, inertia and the selected endpoint all enter the comparison.
Use a fixed-command comparison to ask how outcomes change, or a matched-delivery comparison to ask how required inputs and losses differ. Keep the endpoint definition and event rule consistent. Imposing both identical commands and identical outcomes may leave no feasible matched pair; forcing an endpoint by an external constraint also changes the energy account. A rigid reference model must state which masses, inertias and other properties were preserved when compliance was removed.
Interpret the Source-Stated Falsifiers Carefully
The source uses falsifier for several kinds of tests. Reconstruction or convergence failures challenge a derivation or calculation. Different same-state branch results challenge a registered numerical result. A sentence that prescribes coaching breaches an editorial boundary. These are useful checks with different meanings; passing them is not empirical confirmation.
Some imported wording needs further operational definition. In PD-CLAIM-131, a successful simpler policy in a particular human study would challenge the scope of the modeling guidance, not prove that all internal mechanisms are identifiable from one endpoint. In PD-CLAIM-068, collecting extra contact measurements does not refute underdetermination from the net wrench alone. Unique identification requires assumptions or measurements that remove the admissible nullspace. In PD-CLAIM-144, “reject the relationship” is not a complete experiment: specify the relationship, comparison, measurable effect, uncertainty and rejection criterion before collecting data.
The cards retain those source statements for traceability. The editorial comparisons clarify what a useful test would need; they do not silently upgrade the imported claims or imply that a proposed experiment has occurred. Evidence artifact identifiers name the provider’s files or external references and may require inspection at the linked source revision.
Similar Endpoints Can Hide Different Internal Pathways
- Source Claim
- PD-CLAIM-131: Across the ladder, no single joint force, clock delay, or torque sign defines useful transfer; model optimization should report event-window force, couple, power, work, constraint, endpoint, and robustness diagnostics together, without promoting this conditional framework to coaching advice.
- Source-Reported Claim Status
- supported
- Source-Declared Model Domain
- Research design implications from the declared reduced models.
- Source Uncertainty Boundary
- No universal human control strategy is identified.
- Editorial Alternative
- Different admissible command and contact histories can produce the same selected endpoint observable. Matching speed alone does not match the full terminal state or internal history.
- Editorial Discriminating Comparison
- Declare the endpoint map, event and matching tolerance; compare full state, work, loads, constraints and robustness among matched outcomes. Separately test model interventions from the same complete dynamical state.
- Source-Reported Falsifier
- A robust governed human study establishes a simpler sufficient strategy or current text prescribes technique.
- Editorial Review Question
- Does selecting only endpoint speed make distinct internal mechanisms appear equivalent by construction?
- Critique Ledger Disposition
- crit-simulation-tautology: open
- Readiness Record
- ad-protocol-model-ladder-001: simulation-ready (modeled)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
docs/research/proximal_distal_energy_transfer/data/mechanism_ladder_study.json -
docs/research/proximal_distal_energy_transfer/data/mechanism_ladder_traces.npz -
scripts/research/proximal_distal_energy/run_mechanism_ladder_study.py -
scripts/research/proximal_distal_energy/mechanism_ladder.py -
tests/research/test_mechanism_ladder_evidence.py -
tests/research/test_mechanism_ladder.py
A Timing Change Is Not Automatically Beneficial Transfer
- Source Claim
- PD-CLAIM-237: Exact 30 ms same-state killswitches give nonmonotonic channel effects: continued torso and wrist commands add 1.223 and 1.818 m/s, whereas continued bilateral-arm commands reduce delivery speed by 1.364 m/s in the registered program.
- Source-Reported Claim Status
- supported
- Source-Declared Model Domain
- One exact same-state branch within the declared rotating-base mechanism.
- Source Uncertainty Boundary
- A channel continuation effect is conditional on state, commands, model, and endpoint; it is not an anatomical or coaching effect.
- Editorial Alternative
- Continuing a specified command channel can change both timing and the delivery objective. That conditional intervention effect does not identify a universal benefit of the observed sequence.
- Editorial Discriminating Comparison
- Branch the registered model at the same event and complete state, including any activation or compliance states. Declare the command-removal operation, other command histories or feedback policies, endpoint rule and uncertainty; compare objective, work and loads together.
- Source-Reported Falsifier
- Pre-branch states differ or branch recomputation reverses the recorded channel differences.
- Editorial Review Question
- Is an observed timing change being treated as beneficial without a matched objective and intervention?
- Critique Ledger Disposition
- crit-sequencing-lie-bracket-fallacy: open
- Readiness Record
- ad-protocol-neural-timing-001: simulation-ready (manufactured-synthetic)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
docs/research/proximal_distal_energy_transfer/data/rotating_base_torso_velocity_study.json -
docs/research/proximal_distal_energy_transfer/data/claim_numeric_reported_values.json
Attribution Depends on Coordinates and Endpoint Mapping
- Source Claim
- PD-CLAIM-306: Virtual-work least squares reports a minimum-norm force-only endpoint equivalent together with rank and unreconstructed generalized residual; signed/absolute tangent impulse, power, and work remain distinct observables.
- Source-Reported Claim Status
- supported
- Source-Declared Model Domain
- Exact planar double-pendulum generalized coordinates with a frozen bounded torque-program grid and an impact-truncated endpoint mapping.
- Source Uncertainty Boundary
- A rank-deficient force-only equivalent is not a complete grip wrench, and generalized component work is not automatically subsystem transfer.
- Editorial Alternative
- Coordinate partitions and unweighted least-squares metrics can change attributed components and the fitted force. The reconstructed generalized drive includes the retained residual; a force-only fit need not identify the complete physical wrench.
- Editorial Discriminating Comparison
- Transform the same physical trajectory, generalized covectors, Jacobian and residual metric consistently. Check total virtual power and reconstruction in one observer frame; report rank, residual and fitted-force sensitivity separately. Do not demand invariance of arbitrary component allocations.
- Source-Reported Falsifier
- The mapped force and retained residual do not reconstruct the generalized drive, or undefined zero-speed tangent intervals contribute to integration.
- Editorial Review Question
- Does a named generalized component survive a change of coordinates and physical endpoint representation?
- Critique Ledger Disposition
- crit-control-causality-mechanical: responded
- Readiness Record
- ad-protocol-model-ladder-001: simulation-ready (modeled)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
docs/research/proximal_distal_energy_transfer/data/force_source_optimization.json -
docs/research/proximal_distal_energy_transfer/figures/fig_force_source_optimization.pdf -
scripts/research/proximal_distal_energy/force_source_optimization.py -
scripts/research/proximal_distal_energy/run_force_source_optimization.py -
src/shared/python/biomechanics/force_source_attribution.py -
tests/research/test_force_source_optimization.py -
tests/unit/biomechanics/test_force_source_attribution.py
One Net Club Wrench Does Not Identify Two Hand Loads
- Source Claim
- PD-CLAIM-068: Two-hand common and differential modes are mechanically distinct: opposing contact forces can cancel in the resultant while generating a couple or internal squeeze, and equal club action does not identify joint loading, co-contraction, robustness, or effort strategy.
- Source-Reported Claim Status
- supported
- Source-Declared Model Domain
- Declared planar two-contact wrench geometry; external context is multifinger prehension and one instructed fast two-hand grasp task.
- Source Uncertainty Boundary
- The external studies are not golf, do not rank golf strategies, and do not validate the model's quantitative force allocation.
- Editorial Alternative
- Equal-and-opposite force increments preserve resultant force but generally change its moment. Increments along the line joining ideal point contacts can preserve the complete wrench while changing individual contact loads, subject to admissibility constraints.
- Editorial Discriminating Comparison
- Express synchronized bilateral force-and-moment measurements about one reference point and frame, with calibration and uncertainty. Check net-wrench closure and admissible nullspace changes. These measurements constrain contact allocation, not unique muscle effort or co-contraction.
- Source-Reported Falsifier
- Common/differential reconstruction fails or measured golf contact forces uniquely identify effort from net wrench alone.
- Editorial Review Question
- Is a net club wrench being used to infer individual-hand loading, effort, or muscle coordination?
- Critique Ledger Disposition
- crit-ztcf-identifiability: open
- Readiness Record
- ad-protocol-bilateral-hand-wrench-001: simulation-ready (manufactured-synthetic)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
https://doi.org/10.3200/JMBR.40.5.446-476 -
https://doi.org/10.1007/BF00198762 -
tests/research/test_hand_path_attribution_study.py
Base Constraints Change the Modeled Coupling
- Source Claim
- PD-CLAIM-159: Within this coupled tier, separated force moment arms can create a late negative club couple, the couple can persist after same-state command removal, and endogenous base motion and shaft flex do not automatically remove it; explicit sign, branch, geometry, closure, and convergence failures would contradict the result.
- Source-Reported Claim Status
- supported
- Source-Declared Model Domain
- Synthesis of registered reference, intervention, geometric control, and convergence evidence.
- Source Uncertainty Boundary
- The synthesis establishes mechanical possibility only, not prevalence, benefit, optimality, or human causation.
- Editorial Alternative
- A fixed ideal support can exchange momentum while doing zero work at its stationary contact. A prescribed moving base can supply or remove mechanical energy. A finite-mass dynamic base changes the coupled response; none of these facts alone disproves a late negative couple.
- Editorial Discriminating Comparison
- Map compatible physical initial states and event rules across fixed, prescribed and dynamic-base models. Include support reactions and prescribed-base power in the chosen system boundary; test sign, reconstruction, convergence and geometry controls without treating unlike models as the same experiment.
- Source-Reported Falsifier
- Any enumerated falsification condition occurs under the registered executable study without correction.
- Editorial Review Question
- Would the apparent mechanism persist when base motion is endogenous rather than prescribed or fixed?
- Critique Ledger Disposition
- crit-effective-plant-fallacy: open
- Readiness Record
- ad-protocol-model-ladder-001: simulation-ready (modeled)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
docs/research/proximal_distal_energy_transfer/data/moving_base_flexible_study.json -
docs/research/proximal_distal_energy_transfer/data/moving_base_flexible_study.npz -
scripts/research/proximal_distal_energy/moving_base_flexible_club.py -
scripts/research/proximal_distal_energy/run_moving_base_flexible_study.py -
tests/research/test_moving_base_flexible_club.py -
tests/research/test_moving_base_flexible_evidence.py
Shaft Recoil, Actuation, Damping, and Contact Are Confounded
- Source Claim
- PD-CLAIM-144: The model motivates only the hypothesis that elastic storage changes timing and configuration, while matched endpoint performance depends on actuation, damping, and endpoint rather than peak strain alone.
- Source-Reported Claim Status
- untested
- Source-Declared Model Domain
- One torsional coordinate over a broad grid.
- Source Uncertainty Boundary
- No general recoil benefit or negligibility is shown.
- Editorial Alternative
- Shaft deformation stores energy, but the sign and timing of its release, damping, contact and continuing actuation determine delivery. Equal peak deformation does not specify endpoint speed or an energetic benefit.
- Editorial Discriminating Comparison
- Declare either a fixed-command comparison of endpoint outcomes or a matched-delivery comparison of required inputs and losses. Keep the endpoint definition and event rule fixed, account for changed inertia and contact, and measure deformation and boundary power. Do not silently impose both identical commands and identical outcomes.
- Source-Reported Falsifier
- Calibrated paired tests reject the relationship.
- Editorial Review Question
- Is peak shaft strain being credited as beneficial recoil without matching actuation, damping, contact, and endpoint?
- Critique Ledger Disposition
- crit-stiffness-pulse-paradox: open
- Readiness Record
- ad-protocol-equipment-response-001: simulation-ready (manufactured-synthetic)
- Registered Validation Release
- unavailable: Obtain an immutable verified #4042 release reference.
- Registered Workflow
- unavailable: No qualified provider workflow record is registered for this atlas card. This is a limitation of the atlas registration, not a claim that no software or measurements exist elsewhere.
Read the exact monograph section · Open the governed critique · Inspect exact readiness record · Inspect exact source revision
Evidence artifacts
-
docs/research/proximal_distal_energy_transfer/data/shaft_contribution_study.json -
docs/research/proximal_distal_energy_transfer/data/shaft_contribution_traces.npz -
scripts/research/proximal_distal_energy/flexible_shaft_study.py -
scripts/research/proximal_distal_energy/run_shaft_contribution_study.py -
tests/research/test_flexible_shaft_study.py -
tests/research/test_shaft_contribution_evidence.py
Citation
@online{olson,
author = {Olson, Dieter},
title = {Proximal–Distal {Claim,} {Alternative,} and {Falsification}
{Atlas}},
date = {},
url = {https://affinedrift.com/articles/proximal-distal-falsification-atlas.html},
langid = {en}
}