{
  "schema": "SYNTAX-JACOB-PROVENANCE-1.2",
  "title": "Syntax Jacob — Propulsion Lab",
  "author": "Nicholas Shane Kouns, DO",
  "original_work": true,
  "created": "2026-09-18",
  "public_surface": "https://nicholaskouns-create.github.io/E47-Kartekeya/interfaces/syntax-jacob/",
  "runtime": {
    "ephemeris_primary": "https://gpkjvihkyectnenvnbng.supabase.co/functions/v1/city-app-host/syntax-jacob-ephemeris",
    "ephemeris_mirror": "https://gpkjvihkyectnenvnbng.supabase.co/functions/v1/syntax-jacob-ephemeris",
    "upstream": [
      "NASA/JPL Horizons API",
      "NASA/JPL Small-Body Database API"
    ],
    "graphics": "https://gpkjvihkyectnenvnbng.supabase.co/functions/v1/city-graphics-accelerator",
    "e47_witness": "https://gpkjvihkyectnenvnbng.supabase.co/functions/v1/matrix-cube-adapter",
    "receipt_bus": "AETHERIS receipt bridge via CITY CORE postMessage",
    "propulsion_lab": {
      "modes": [
        "inertial",
        "coherence",
        "coast"
      ],
      "controls": [
        "vector thrust",
        "throttle",
        "pulse thrust",
        "modeled velocity zero",
        "camera focus"
      ],
      "dynamics_space": "display-space simulation",
      "physical_claim": "none"
    },
    "stargate_invariants": {
      "module": "website/interfaces/shared/stargate-invariants.js",
      "validation": "STARGATE-CORRECTED-VALIDATION-1.1",
      "certificate": "MC-STARGATE-CORRECTED-20260919",
      "receipt_binding": "AETHERIS receipts include an E2 Stargate packet",
      "physical_promotion": false
    }
  },
  "astronomy_sources": [
    {
      "name": "NASA 3I/ATLAS",
      "url": "https://science.nasa.gov/solar-system/comets/3i-atlas/"
    },
    {
      "name": "JPL Horizons",
      "url": "https://ssd.jpl.nasa.gov/horizons/"
    },
    {
      "name": "JPL Small-Body Database",
      "url": "https://ssd.jpl.nasa.gov/tools/sbdb_lookup.html"
    },
    {
      "name": "NASA Blue Marble",
      "url": "https://visibleearth.nasa.gov/images/57723/the-blue-marble"
    }
  ],
  "notion": [
    {
      "title": "The Mathematical City — Recursive Intelligence, E47 & K47/125",
      "id": "0b778ea1-fbe0-4d20-b7b3-e998abd4ca76"
    },
    {
      "title": "EIDOLON — Scalar Flight Lab",
      "id": "3dd46094-fd30-817a-8bfa-dc322f33195c"
    },
    {
      "title": "City Interface Layer — Notion ↔ GitHub Pages",
      "id": "3de46094-fd30-81e7-b47d-d7316eac5f2d"
    },
    {
      "title": "THE MATRIX — Quantum Circuit Instrument",
      "id": "3dd46094-fd30-8072-b5c2-ef223460c15b"
    },
    {
      "title": "Syntax Jacob — 3I/ATLAS Scalar Coherence Copilot",
      "id": "3df46094-fd30-81ea-b61d-db514bf8805f"
    }
  ],
  "google_drive": [
    {
      "title": "Simple Math Links a Comet to Quantum and Biological Systems",
      "id": "1WtrRqDSjrayMIjvB29Sg_u4ATjGKZ44qFoiMRkFeDeE"
    },
    {
      "title": "Recursive Coherence Theory: A Unified Framework from Comet Syntax to Cosmological Field Theory",
      "id": "1jVxeq0sqpnMVRBppOgYB49AV8PtNJPiUu9htQwSeHtg"
    },
    {
      "title": "Eidolon-Class Scalar Propulsion—A Canonical First-Principles Derivation of Geometric Motion",
      "id": "1mjpHGVV2dEO3XQ_u6rNOizdPWbnFv8EssPru7AAoz1U"
    },
    {
      "title": "UFO Propulsion Lab",
      "id": "1vEKNZBm0qENr0XBAuCKz_aoZ0wxAPimo"
    }
  ],
  "e47": {
    "carrier": "V2^tensor3",
    "dimension": 125,
    "selector": "K=(C-6I)(C-30I)",
    "kernel": "E6 ⊕ E30",
    "kernel_dimension": 47,
    "omega_c": "47/125",
    "projector": "P47=P6+P30",
    "contraction": "Gamma=I-epsilon*K^2",
    "epsilon_star": "1/99144",
    "rho_star": "15/17"
  },
  "evidence_boundary": {
    "measured": "JPL Horizons state vectors and JPL SBDB orbit metadata",
    "rendered": "nucleus morphology, coma, tails, display scaling, spacecraft and visual effects",
    "model": "E47 coherence state, propulsion control law, scalar lock/copilot behavior, witness interpretation, and all spacecraft response dynamics",
    "stargate": "Corrected Stargate formulas/invariants are attached as conditional mathematics and E2 simulator state. E47 capture, scalar lock and propulsion response are not physical wormhole evidence."
  }
}