L1 ⚛ L1-287 ⊙ Testnet

Glacial Isostatic Adjustment (GIA) — post-glacial rebound

Geophysics · Viscoelastic Earth + ice-load history

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⬇ L1-287.md

# ⚛ L1 Principle — Glacial Isostatic Adjustment (GIA) — post-glacial rebound **ID:** `L1-287` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Viscoelastic Earth + ice-load history* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** vertical uplift and viscosity > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554065 --- ## 🧠 1. Introduction **Glacial Isostatic Adjustment (GIA) — post-glacial rebound** is a **nonlinear inverse problem** whose unknown lives in **vertical uplift and viscosity** space, within the **Viscoelastic Earth + ice-load history** sub-domain of **Geophysics**. Measurements consist of mechanical vibrations or strain signals via a **gps sea level** sensing mechanism. The forward operator applies, in order: L · load history operator; L · viscoelastic response operator; L · sea level eqn operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · load history → L · viscoelastic response → L · sea level eqn → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.sea_level_eqn` `L.viscoelastic_response` `L.load_history` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.load_history` | L · load history operator | | `L.viscoelastic_response` | L · viscoelastic response operator | | `L.sea_level_eqn` | L · sea level eqn operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Viscoelastic Earth + ice-load history | | Carrier | mechanical | | Problem class | nonlinear_inverse | | Solution space | vertical_uplift_and_viscosity | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | uplift_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `gia` · **Forward operator:** `gia_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N gps | — | 100 | | Snr db | dB | 25 | | N layers | — | 20 | | N load history | — | 10000 | | Ice history error | — | 0.1 | | Mantle viscosity error | — | 0.1 | | Lithosphere thickness error | — | 0.1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N gps | — | 10 – 10000 | | Snr db | dB | 0 – 40 | | N layers | — | 5 – 1000 | | N load history | — | 100 – 1000000 | | Ice history error | — | 0.0 – 0.3 | | Mantle viscosity error | — | 0.0 – 0.5 | | Lithosphere thickness error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 2.0 | Metric | Range | |---|---| | Uplift rel | 0.2 – 20.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **uplift_rel_error_percent**, with κ = `560` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x863057f22fae9ae7cb15c4def70a498df0d05d5d144f09d1310bb3dc61251aed` - **Chain tx hash:** `0x30d68e14816d0e3f12c9d56afe03ae38d38062c2ffc32ad05b3d46061ac6ba92` - **Chain block:** `41554065` --- ## File Mapping This bundle consists of: `L1-287.md`, `L1-287.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-287.md` | Source of truth — edit this | Human or LLM | | `L1-287.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-287`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-287-001 Glacial Isostatic Adjustment (GIA) — post-glacial rebound Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-287",
  "chain_block": 41554065,
  "chain_hash": "0x863057f22fae9ae7cb15c4def70a498df0d05d5d144f09d1310bb3dc61251aed",
  "chain_tx_hash": "0x30d68e14816d0e3f12c9d56afe03ae38d38062c2ffc32ad05b3d46061ac6ba92",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 560,
    "metric": "uplift_rel_error_percent",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "uplift_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "mechanical",
    "difficulty_delta": 5,
    "domain": "Geophysics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.load_history",
      "L.viscoelastic_response",
      "L.sea_level_eqn",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "gps_sea_level",
    "solution_space": "vertical_uplift_and_viscosity",
    "sub_domain": "Viscoelastic Earth + ice-load history",
    "title": "Glacial Isostatic Adjustment (GIA) \u2014 post-glacial rebound"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "gia_forward"
    ],
    "allowed_omega_dimensions": [
      "N_load_history",
      "N_layers",
      "N_gps",
      "SNR_dB",
      "ice_history_error",
      "mantle_viscosity_error",
      "lithosphere_thickness_error",
      "ice_history_error",
      "mantle_viscosity_error",
      "lithosphere_thickness_error"
    ],
    "allowed_problem_classes": [
      "gia"
    ],
    "center_spec": {
      "epsilon_fn_center": "2.0",
      "forward_operator": "gia_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_gps": 100,
        "N_layers": 20,
        "N_load_history": 10000,
        "SNR_dB": 25,
        "ice_history_error": 0.1,
        "lithosphere_thickness_error": 0.1,
        "mantle_viscosity_error": 0.1
      },
      "problem_class": "gia"
    },
    "epsilon_bounds": {
      "uplift_rel": [
        0.2,
        20.0
      ]
    },
    "omega_bounds": {
      "N_gps": [
        10,
        10000
      ],
      "N_layers": [
        5,
        1000
      ],
      "N_load_history": [
        100,
        1000000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "ice_history_error": [
        0.0,
        0.3
      ],
      "lithosphere_thickness_error": [
        0.0,
        0.3
      ],
      "mantle_viscosity_error": [
        0.0,
        0.5
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Viscoelastic Earth + ice-load history",
  "title": "Glacial Isostatic Adjustment (GIA) \u2014 post-glacial rebound"
}

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