Ambient-Noise Tomography — Green-function retrieval L1-277

GeophysicsCross-correlation of ambient seismic noiseδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

C_{A} B (t a u) = in t u_{A} (t) u_{B} (t + t a u) d t = d / d t a u G_{A} B + G_{B} A (G r ee n - f u n c t i o n r e t r i e v a l)

Ambient-Noise Tomography — Green-function retrieval forward model.

L-DAG

L.cross_correlate -> L.green_retrieve -> L.tomographic_invert -> int.temporal

L.cross_correlateL.green_retrieveL.tomographic_invertint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 500

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: Stack-CC, EGF-invert, ANT-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.