PPA Biot-Savart-v3 Ordered-Wire Review

PPA Biot-Savart-v3 Ordered-Wire Public Review

Scope: This is a method-audit appendix candidate for geometry-derived PPA/g-like conditioning diagnostics. It is not EM simulation, not clinical validation, not measured noise covariance, not tissue loading, not coupling/matching/preamp validation, and not product ranking.

Contract: ok=True, ordered_wire_source_used=True, pca_ellipse_fallback_used=False, npz_count=32, failure_count=0, workers_used=3.

Interpretation Short Version

R2 and R3 are evaluated separately. Sagittal H-F R2 and R3 both support Mammaria_18Ch over BI_7 in the majority of inner/central/alias-valid ROI checks. Transversal R-L is mixed: R2 central/deep does not show a Mammaria_18Ch advantage, while R3 central/deep does.

Hypothesis Summary

Hypothesis	Condition	ROI	Supported	Interpretation
H1	sagittal_hf_r2	inner60_central_alias_valid_majority	True	Majority of inner/central/alias-valid ROI checks favors Mammaria_18Ch.
H2	sagittal_hf_r3	inner60_central_alias_valid_majority	True	Majority of inner/central/alias-valid ROI checks favors Mammaria_18Ch.
H4	transversal_rl_r2	central_band	False	Transversal Mammaria_18Ch advantage is absent in this ROI; screened drivers if it were considered: smin, valid_mask, channel_distribution.
H4	transversal_rl_r2	deep_band	False	Transversal Mammaria_18Ch advantage is absent in this ROI; screened drivers if it were considered: valid_mask, channel_distribution.
H4	transversal_rl_r3	central_band	True	Transversal Mammaria_18Ch advantage is present; screened drivers: alias_column_correlation, valid_mask, channel_distribution.
H4	transversal_rl_r3	deep_band	True	Transversal Mammaria_18Ch advantage is present; screened drivers: alias_column_correlation, valid_mask, channel_distribution.
H3	transversal_rl_r2_r3	central_deep_all_checks	False	Ordered-wire v3 favors Mammaria_18Ch in 2/4 transversal central/deep checks.
H6	sagittal_hf_r2_r3	external_pi_positive_control_context	True	At least one sagittal H-F Biot-Savart-v3 condition moves toward the External PI positive-control intuition.

Hypothesis

Condition

ROI

Supported

Interpretation

sagittal_hf_r2

inner60_central_alias_valid_majority

True

Majority of inner/central/alias-valid ROI checks favors Mammaria_18Ch.

sagittal_hf_r3

inner60_central_alias_valid_majority

True

Majority of inner/central/alias-valid ROI checks favors Mammaria_18Ch.

transversal_rl_r2

central_band

False

Transversal Mammaria_18Ch advantage is absent in this ROI; screened drivers if it were considered: smin, valid_mask, channel_distribution.

transversal_rl_r2

deep_band

False

Transversal Mammaria_18Ch advantage is absent in this ROI; screened drivers if it were considered: valid_mask, channel_distribution.

transversal_rl_r3

central_band

True

Transversal Mammaria_18Ch advantage is present; screened drivers: alias_column_correlation, valid_mask, channel_distribution.

transversal_rl_r3

deep_band

True

Transversal Mammaria_18Ch advantage is present; screened drivers: alias_column_correlation, valid_mask, channel_distribution.

transversal_rl_r2_r3

central_deep_all_checks

False

Ordered-wire v3 favors Mammaria_18Ch in 2/4 transversal central/deep checks.

sagittal_hf_r2_r3

external_pi_positive_control_context

True

At least one sagittal H-F Biot-Savart-v3 condition moves toward the External PI positive-control intuition.

Key Metrics: BI_7 vs Mammaria_18Ch

condition	roi	BI_7 local_g p95	Mammaria_18Ch local_g p95	BI_7 PMR p95	Mammaria_18Ch PMR p95	BI_7 alias corr p95	Mammaria_18Ch alias corr p95
sagittal_hf_r2	inner60	3.42	1.658	3.462	1.791	0.6985	0.7479
sagittal_hf_r2	central_band	1.599	1.597	1.701	1.747	0.6094	0.7358
sagittal_hf_r2	deep_band	2.925	1.886	3.149	2.014	0.6961	0.8111
sagittal_hf_r2	alias_valid_only	3.056	1.756	3.257	1.838	0.694	0.7678
sagittal_hf_r3	inner60	6.739	3.793	7.599	3.972	0.8445	0.9126
sagittal_hf_r3	central_band	6.761	3.744	7.737	3.95	0.8454	0.9344
sagittal_hf_r3	deep_band	5.802	3.596	5.973	3.791	0.8286	0.8929
sagittal_hf_r3	alias_valid_only	5.979	3.794	6.082	3.846	0.8374	0.9198
transversal_rl_r2	inner60	1.02	1.049	1.198	1.217	0.1975	0.2944
transversal_rl_r2	central_band	1.017	1.039	1.202	1.195	0.1812	0.2653
transversal_rl_r2	deep_band	1.023	1.183	1.225	1.301	0.2104	0.5074
transversal_rl_r2	alias_valid_only	1.022	1.138	1.216	1.24	0.2068	0.4432
transversal_rl_r3	inner60	1.417	1.413	1.511	1.582	0.6747	0.6908
transversal_rl_r3	central_band	1.97	1.39	1.96	1.483	0.8143	0.6869
transversal_rl_r3	deep_band	1.947	1.445	2.035	1.577	0.8127	0.716
transversal_rl_r3	alias_valid_only	1.929	1.397	1.943	1.51	0.8109	0.7024

condition

roi

BI_7 local_g p95

Mammaria_18Ch local_g p95

BI_7 PMR p95

Mammaria_18Ch PMR p95

BI_7 alias corr p95

Mammaria_18Ch alias corr p95

sagittal_hf_r2

inner60

3.42

1.658

3.462

1.791

0.6985

0.7479

sagittal_hf_r2

central_band

1.599

1.597

1.701

1.747

0.6094

0.7358

sagittal_hf_r2

deep_band

2.925

1.886

3.149

2.014

0.6961

0.8111

sagittal_hf_r2

alias_valid_only

3.056

1.756

3.257

1.838

0.694

0.7678

sagittal_hf_r3

inner60

6.739

3.793

7.599

3.972

0.8445

0.9126

sagittal_hf_r3

central_band

6.761

3.744

7.737

3.95

0.8454

0.9344

sagittal_hf_r3

deep_band

5.802

3.596

5.973

3.791

0.8286

0.8929

sagittal_hf_r3

alias_valid_only

5.979

3.794

6.082

3.846

0.8374

0.9198

transversal_rl_r2

inner60

1.02

1.049

1.198

1.217

0.1975

0.2944

transversal_rl_r2

central_band

1.017

1.039

1.202

1.195

0.1812

0.2653

transversal_rl_r2

deep_band

1.023

1.183

1.225

1.301

0.2104

0.5074

transversal_rl_r2

alias_valid_only

1.022

1.138

1.216

1.24

0.2068

0.4432

transversal_rl_r3

inner60

1.417

1.413

1.511

1.582

0.6747

0.6908

transversal_rl_r3

central_band

1.97

1.39

1.96

1.483

0.8143

0.6869

transversal_rl_r3

deep_band

1.947

1.445

2.035

1.577

0.8127

0.716

transversal_rl_r3

alias_valid_only

1.929

1.397

1.943

1.51

0.8109

0.7024

PPA Biot-Savart-v3 Ordered-Wire Public Review

Interpretation Short Version

Hypothesis Summary

Key Metrics: BI_7 vs Mammaria_18Ch

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