NPL
All Claims Passing

Validation Results

28 independent claims validated across 4 experimental domains

28/28
Claims Validated
0
Domains
0
Drugs Tested
0
Enzymes Tested
0
Sleep Stages
0
Epochs Analyzed

Domain Breakdown

Every claim verified against independent data. Click through to each domain for full methodology and figures.

Sleep

coherentcascade
6/ 6
✓
R ordering monotonic across stages
✓
N3 highest R of all stages
✓
REM lowest R
✓
N3–REM well separated
✓
W > N1 > N2
✓
REM < 0.5

Pharmacology

turbulentcoherent
7/ 7
✓
Aperture taxonomy accuracy > 60%(63.6%)
✓
Breadth ordering TCA > SNRI > SSRI
✓
Response convergence ~60%(mean 61.6%)
✓
Low cross-class variance(σ = 0.005)
✓
Turbulent baseline(R = 0.073)
✓
Coherent treatment(R = 0.925)
✓
Onset error < 2 weeks(1.96 wk)

Enzyme

aperture
4/ 4
✓
Efficiency anti-correlation with d_cat
✓
Diffusion limit at low d_cat
✓
Family clustering
✓
Triple equivalence

NPL

turbulentaperturecascadecoherentPhase-Locked
10/ 10
✓
C(n) = 2n² for all n = 1–7
✓
Triangle inequality (0 violations)
✓
S bounded in [0, 1]³
✓
Complete regime classification
✓
Monotonic regime ordering
✓
Valid operator composition
✓
Drug sync (R increases)
✓
Onset at K_c
✓
Bounded structural factor
✓
σ² ∝ K⁻¹ (slope = −1.0)
Total Validation Progress28 / 28
Sleep (6)Pharmacology (7)Enzyme (4)NPL (10)

New Predictions from the Lagrangian

Three testable predictions derived from the Euler-Lagrange equations that have not yet been experimentally verified.

Pending

Fluctuation-Dissipation Relation

Spontaneous neural fluctuations and stimulus responses must satisfy a single temperature-like parameter linking noise power to linear response.

Pending

Critical Slowing at Regime Boundaries

Near phase transitions between regimes, the autocorrelation time must diverge as a power law, measurable via EEG spectral exponents.

Pending

Kramers Escape Rates

Transition rates between regimes must follow Arrhenius scaling with the barrier heights computed from the NPL potential landscape.

Methodology

All validations use publicly available data and reproducible pipelines.

Sleep-EDF

PhysioNet polysomnography recordings. 500 30-second epochs scored by human experts across W, N1, N2, N3, and REM stages.

NIMH PDSP Kᵢ Values

Receptor binding affinities for 11 antidepressants across serotonin, norepinephrine, and dopamine transporters.

BRENDA Database

Enzyme kinetic parameters (k_cat, K_M) for 12 enzymes spanning oxidoreductases, transferases, and hydrolases.

Synthetic NPL

Computationally generated partition coordinates for n = 1–7, verifying C(n), triangle inequality, and operator composition algebraically.

Explore Each Domain

Dive into full derivations, interactive figures, and raw data for every validated claim.

Regime ClassificationGeometric AperturesOperator TrajectoriesThe Lagrangian