{
  "checkpoint": "RMO94",
  "status": "CONDITIONAL_CENTRAL_FLOW_BRANCH_ESTABLISHED",
  "fixed_inputs": {
    "D_km_s": "600",
    "c1_km_s": "156",
    "compression": "39/25",
    "gamma": "5/3",
    "theta_degrees": 85,
    "density": "fixed arbitrary normalization; no new physical density inferred"
  },
  "search_v_km_s": [
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    444
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  "search_upper_endpoint_included": false,
  "angle_tan5_outward": [
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  "positive_field_upper_endpoint_included": false,
  "endpoint": {
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    "U_km_s": "216.049174730289919388841809703591012521997928570044690995741492345019487145626490143920010",
    "b_exact": "61/195",
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    "compression": "39/25",
    "field_zero": true,
    "field_angle_defined": false,
    "entropy_over_cv": "0.023180423592097498319344887684796096122968604816118035138871706433761558078821351073679613",
    "solar_request": {
      "schema_version": "rmo-local-discontinuity-0.1",
      "case_id": "gas_endpoint",
      "model": "ideal_mhd_single_planar_discontinuity",
      "units": "normalized_mu0_1",
      "frame": "common_inertial_local_basis",
      "gamma": 1.6666666666666667,
      "front_speed": 600.0,
      "basis": {
        "normal": [
          1,
          0,
          0
        ],
        "t1": [
          0,
          1,
          0
        ],
        "t2": [
          0,
          0,
          1
        ]
      },
      "left": {
        "rho": 1.56,
        "p": 31357.534426229508,
        "u": [
          461.5069392754552,
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          0.0
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        "B": [
          0.0,
          0.0,
          0.0
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      },
      "right": {
        "rho": 1.0,
        "p": 14601.6,
        "u": [
          383.9508252697101,
          -0.0,
          0.0
        ],
        "B": [
          0.0,
          0.0,
          0.0
        ]
      },
      "uncertainty": {
        "mode": "exact_synthetic"
      }
    },
    "diagnosis": {
      "case_id": "gas_endpoint",
      "status": "UNMAGNETIZED_LIMIT",
      "family": null,
      "scope": "one exact planar ideal-MHD discontinuity; Bn=0, Bt nonzero, 1<gamma<2",
      "candidates": {
        "fast_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "slow_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "rotational_discontinuity": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "contact": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        }
      },
      "coverage": {
        "intermediate_switch_limits": "NOT_IMPLEMENTED; never automatically excluded",
        "full_fan_and_compound": "NOT_TESTED by a two-state discontinuity check",
        "smooth_waves_and_image_alternatives": "NOT_TESTED; require their own spatial/observational model"
      },
      "global_uniqueness": false,
      "uncertainty_propagated": false,
      "checks": {
        "front_speed": 600.0,
        "evaluation_boost": [
          600.0,
          -0.0,
          0.0
        ],
        "rh_scaled_inf": 1.4406778970902572e-16,
        "rh_components": {
          "mass": 1.3155203886284183e-16,
          "normal_momentum": -1.1873522595158369e-16,
          "t1_momentum": 0.0,
          "t2_momentum": 0.0,
          "t1_induction": 0.0,
          "t2_induction": 0.0,
          "energy": 1.4406778970902572e-16
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        "characteristics": {
          "left": {
            "slow": 0.0,
            "alfven_n": 0.0,
            "fast": 183.0345304696966
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          "right": {
            "slow": 0.0,
            "alfven_n": 0.0,
            "fast": 156.0
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        },
        "front_relative_normal_velocity": {
          "left": -138.49306072454482,
          "right": -216.0491747302899
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      },
      "result_sentence": "The magnetic field is zero; this magnetic-shock extension does not assign a gas-shock class.",
      "next_action": "Inspect the stated limit or input failure; no full-fan or observational conclusion follows.",
      "diagnostic_extension": "RMO-exact-perpendicular-0.1",
      "geometry": "Bn=0 supplied; a field-to-normal angle requires a nonzero magnetic field",
      "baseline_status": "DEGENERATE_NOT_CLASSIFIED",
      "solar_identification": false,
      "stability_tested": false
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        "result_sentence": "For these supplied states and front speed, a fast shock passes the local ideal-MHD checks.",
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        "result_sentence": "For these supplied states and front speed, a fast shock passes the local ideal-MHD checks.",
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        "result_sentence": "For these supplied states and front speed, a fast shock passes the local ideal-MHD checks.",
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      "v_km_s": 383.9508252697101,
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      "upstream_fast_Mach": 1.3849306072454481,
      "downstream_fast_Mach": 0.7566499084579774,
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      "downstream_normal_solar_km_s": 461.5069392754552,
      "downstream_tangential_solar_km_s": 0.0,
      "entropy_over_cv": 0.023180423592097498,
      "endpoint": "unmagnetized gas shock; angle undefined"
    }
  ],
  "other_closure_root": {
    "at_v0_small_h": "0.00315711220315097870846722025837276572959895715967749868132231538051483456703773095655883104",
    "at_v0_second_h": "0.861331217111669477662952694353384267698005340756097435229816541415301195773079096510808080",
    "regular_boundary_h": "0.641025641025641025641025641025641025641025641025641025641025641025641025641025641025641026",
    "status": "NOT_ASSESSED_OUTSIDE_CONTINUED_BRANCH",
    "reason": "The other algebraic root is beyond h=1/r; no RH/admissibility or all-family exclusion claim is made for it."
  },
  "r93_b_domain_exit_v_km_s": "184.192903225806451612903225806451612903225806451612903225806451612903225806451612903225807",
  "falsification_controls": {
    "pressure": {
      "case_id": "v_0_solar",
      "status": "INCONSISTENT_SINGLE_DISCONTINUITY",
      "family": null,
      "scope": "one planar discontinuity, ideal MHD, exact supplied states",
      "candidates": {
        "fast_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "slow_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "rotational_discontinuity": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "contact": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        }
      },
      "coverage": {
        "intermediate_switch_limits": "NOT_IMPLEMENTED; never automatically excluded",
        "full_fan_and_compound": "NOT_TESTED by a two-state discontinuity check",
        "smooth_waves_and_image_alternatives": "NOT_TESTED; require their own spatial/observational model"
      },
      "global_uniqueness": false,
      "uncertainty_propagated": false,
      "checks": {
        "front_speed": 600.0,
        "evaluation_boost": [
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          -6.09244675738135,
          0.0
        ],
        "rh_scaled_inf": 0.0016104989822111582,
        "rh_components": {
          "mass": 1.8947806286936001e-16,
          "normal_momentum": -0.0008192267227113679,
          "t1_momentum": 0.0,
          "t2_momentum": 0.0,
          "t1_induction": 0.0,
          "t2_induction": 0.0,
          "energy": 0.0016104989822111582
        },
        "characteristics": {
          "left": {
            "slow": 10.292725915183993,
            "alfven_n": 26.991931286466016,
            "fast": 522.2512873124396
          },
          "right": {
            "slow": 12.615231622224584,
            "alfven_n": 33.71291137137747,
            "fast": 416.8939843062089
          }
        },
        "front_relative_normal_velocity": {
          "left": -384.61538461538464,
          "right": -600.0
        }
      },
      "result_sentence": "The supplied states and speed fail conservation for one stationary planar discontinuity; no wave family is assigned.",
      "next_action": "The supplied states and speed fail conservation for one stationary planar discontinuity; no wave family is assigned."
    },
    "upstream_only_velocity": {
      "case_id": "v_0_solar",
      "status": "INCONSISTENT_SINGLE_DISCONTINUITY",
      "family": null,
      "scope": "one planar discontinuity, ideal MHD, exact supplied states",
      "candidates": {
        "fast_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "slow_shock": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "rotational_discontinuity": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        },
        "contact": {
          "status": "NOT_ASSESSED",
          "reason": "Required checks not completed."
        }
      },
      "coverage": {
        "intermediate_switch_limits": "NOT_IMPLEMENTED; never automatically excluded",
        "full_fan_and_compound": "NOT_TESTED by a two-state discontinuity check",
        "smooth_waves_and_image_alternatives": "NOT_TESTED; require their own spatial/observational model"
      },
      "global_uniqueness": false,
      "uncertainty_propagated": false,
      "checks": {
        "front_speed": 600.0,
        "evaluation_boost": [
          600.0,
          -6.09244675738135,
          0.0
        ],
        "rh_scaled_inf": 0.2921285207885015,
        "rh_components": {
          "mass": 0.16666666666666682,
          "normal_momentum": -0.24538404245472126,
          "t1_momentum": 0.0365991570260085,
          "t2_momentum": 0.0,
          "t1_induction": 0.16651873696459837,
          "t2_induction": 0.0,
          "energy": 0.2921285207885015
        },
        "characteristics": {
          "left": {
            "slow": 10.24900858743672,
            "alfven_n": 26.991931286466016,
            "fast": 521.876070118496
          },
          "right": {
            "slow": 12.615231622224584,
            "alfven_n": 33.71291137137747,
            "fast": 416.8939843062089
          }
        },
        "front_relative_normal_velocity": {
          "left": -384.61538461538464,
          "right": -500.0
        }
      },
      "result_sentence": "The supplied states and speed fail conservation for one stationary planar discontinuity; no wave family is assigned.",
      "next_action": "The supplied states and speed fail conservation for one stationary planar discontinuity; no wave family is assigned."
    }
  },
  "reference_independence": "Different full-flux numerical formulation and arithmetic inside this project; no external solver or held-out benchmark.",
  "scope_limitations": [
    "one central state and chosen angle; not the joint R93 uncertainty box",
    "field amplitude is re-inferred as flow varies; not a fixed measured-field experiment",
    "zero-field endpoint is gas dynamic; field angle is undefined there",
    "other algebraic root and other families not classified or globally excluded",
    "v interval is a model domain, not observed flow limits or confidence probability",
    "radio/EUV/thermal association and emission alternatives remain open",
    "no native browser or backend acceptance performed"
  ],
  "source_sha256": {
    "upstream_flow/PROTOCOL.md": "089effaff8d24938c1143bce13001f64580908da41a96b5a33b7c344777cee4a",
    "joint_geometry_bounds/audit.py": "ae1449eeeccca2282346c729c469180a2641fcf25fa2c1d368141485b7181460",
    "local_diagnosis/diagnose.py": "d89a9402476765d9e923b000eeb69c9a431704d86e64abb52d8c819db4e90f3f",
    "perpendicular_diagnosis/diagnose.py": "2bb37081b42370b67e6cb552dd75e57d0cb8424a94a9250736232cc4d205fd85",
    "results/joint_geometry_bounds/RMO_joint_geometry_bounds.json": "9df238f3c87fe12c5d4e438ac05a7f681810a87ff2081d56721e1ad6c8376ace",
    "results/solar_speed_check/RMO_solar_speed_report.md": "48ea255f435692d0a762c3efc99ab6588a5294e1e5a54cffccf5c5549b57f498"
  },
  "primary_source": "https://farside.ph.utexas.edu/teaching/plasma/Plasma/node105.html",
  "novelty": "No historical novelty claim. Endpoint uses the standard gas Hugoniot inverse also used in R88; R94 establishes the fixed-angle coupled MHD continuation and its limit."
}