Measurement Science Deep Dive — groundSpring

Rendered from 05-measurement-science-deep-dive.ipynb — live notebook from the ABG shared workspace

Measurement Science Deep Dive — groundSpring

The gap between what models predict and what instruments measure. This notebook explores groundSpring's core domain: noise decomposition (bias vs variance), Anderson localization (signal propagation through disordered media), and the tolerance architecture that makes every comparison traceable to a mathematical bound.

Data sources: experiments/results/experiment_catalog.json, benchmark_timing.json, security_gaps.json


For other springs: This is your domain-specific showcase. Replace the science narrative with your most compelling discovery story.

groundSpring — The Dirty Differences
"How do things actually look, and why is it different from what we expected?"

Domains: 11 Tolerance tiers: 13 library + 5 epsilon + 25 validation Upstream contract pins: 6

The Five Pillars of Measurement Science

  1. Signal vs Noise — Sensor drift, calibration error, environmental interference
  2. Inverse Problems — From observations back to causes
  3. Sensing Systems — How instruments distort reality
  4. Temporal Dynamics — How systems drift over time
  5. Spatial Propagation — How signals travel through media
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Tolerance Architecture

Every floating-point comparison in groundSpring uses a named constant with documented provenance. 13 library tiers from DETERMINISM (1e-15) to EQUILIBRIUM (0.1), 5 epsilon guards, 6 upstream contract pins binding to barraCuda v0.3.12 API behavior.

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Anderson Localization: The Flagship Domain

Anderson localization — how disorder causes wave functions to exponentially localize — threads through 8 experiments across 4 scientific domains: pure math (Exp 008, 009, 012, 018), uncertainty bridging (Exp 015, 022), immunology (Exp 033), and hardware (Exp 028, NPU classification).

Anderson Localization Thread: 8 experiments, 4 domains

008: Anderson 1D 8/8 29.9x Lyapunov exponents 009: Almost-Mathieu 8/8 49.5x Aubry-Andre transition 012: Spin Chain 18/18 12.3x Wavepacket MSD, transport 015: Uncertainty Bridge 8/8 14.1x Sensor noise → xi 018: Band Edge 10/10 22.4x Spectral gap detection 022: ET0-Anderson 7/7 8.9x FAO-56 → localization 028: NPU Anderson 9/9 N/A BrainChip classification 033: Tissue Anderson 29/29 analytical Immunological signaling

Validation Summary

MetricValue
Scientific domains10
Five pillars mappedSignal, Inverse, Sensing, Temporal, Spatial
Tolerance tiers13 library + 5 epsilon + 6 upstream pins
Anderson thread8 experiments across 4 domains
Faculty connections7 researchers (MSU, Carleton)
Bare float literals0 (all named with provenance)

Provenance: All data from groundSpring V124 (April 27, 2026). See Spring Catalog on primals.eco.