{
    "metadata": {
        "calculation_date": "2025-09-25T16:47:28.653861",
        "author": "Yoshiyuki Matsuyama",
        "article": "#001 Torus Verification",
        "version": "2.0 (corrected)"
    },
    "physical_constants": {
        "G": 6.6743e-11,
        "c": 299792458,
        "M_sun": 1.98847e+30
    },
    "target_parameters": {
        "object": "M87",
        "mass_solar": 6500000000,
        "mass_kg": 1.2925054999999999e+40
    },
    "results": {
        "schwarzschild_radius": {
            "formula": "Rs = 2GM\/c^2",
            "inputs": {
                "G": 6.6743e-11,
                "M": 1.2925054999999999e+40,
                "c": 299792458
            },
            "steps": [
                "2 * 6.6743e-11 * 1.293e+40",
                "= 1.725e+30",
                "\/ 299792458^2",
                "= 1.725e+30 \/ 8.988e+16",
                "= 1.920e+13 m"
            ],
            "result": 19196705983434.707,
            "result_scientific": "1.920e+13 m",
            "result_km": 19196705983.434708,
            "result_au": 128.3202271619967
        },
        "ratio_comparison": [
            {
                "R_over_r": 10,
                "v_over_c": 0.99498743710662,
                "gamma": 9.999999999999995,
                "decimal_places_to_c": 2.2999401651794344
            },
            {
                "R_over_r": 100,
                "v_over_c": 0.9999499987499375,
                "gamma": 100.00000000000551,
                "decimal_places_to_c": 4.301019137894859
            },
            {
                "R_over_r": 1000,
                "v_over_c": 0.999999499999875,
                "gamma": 1000.0000000411333,
                "decimal_places_to_c": 6.30102988711645
            },
            {
                "R_over_r": 10000,
                "v_over_c": 0.9999999949999999,
                "gamma": 9999.999919365053,
                "decimal_places_to_c": 8.301029988660119
            }
        ],
        "energy_analysis": {
            "potential_energy_accretion": -4489286607077011,
            "kinetic_energy_jet": 8.978564235950495e+19,
            "rest_mass_energy": 89875517873681764,
            "conversion_efficiency": 19999.980000823485,
            "note": "完全保存ではなく、放射損失を考慮した現実的な効率"
        }
    }
}