Industrial Monitoring Extensions (H2d-Industrial) PRELIMINARY

Summary: Mechanical systems (gears, bearings, biological: heart rhythm) exhibit structure metric degradation (S = λ₁/λ₂ eigenvalue ratio) preceding failure.

Key Observations:

UNSW gear dataset: S: 3.30 → 2.73 (-17% "softening") before acoustic energy release
MIT-BIH heart: S ≈ 725.65 ("time crystal" extreme order)
NASA IMS bearings: S ≈ 1.4-1.6 (near √2 chaos limit)

These results suggest resonance-driven instability extends to non-fluid mechanical systems.

Status

This work is unpublished and requires:

Preregistered holdout validation
Direct comparison to φ, 3:2, 2:1 hierarchy
Theoretical connection to KAM tori in mechanical phase space
Independent replication in external sensor datasets

Project Status: H2d-Industrial (active development)

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