MJos Predictive Model | First manifestation of the Bangel Language

MJ Physics Engineering | Owned and operated by Michael Bangel | Clearwater, Florida

TR-PINK-F-082 / Teal / Review draft

Reference gas density

Terminology revised ยท September 12 evidence

Later individual Teal rerun. The reported execution status is historical and is not a new test result.

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
103
TEAL-RERUN-02-B005 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-082 / Reference gas density
IF
Invoke F-082 with exactly these inputs: pressure: Real, molar_mass: Real, compressibility: Real, gas_constant:
Real, temperature: Real. Real values use finite decimal text; null remains unknown.
HOW
Source expression: rho_g=P*M/(Z*R*T). Current Bangel expression: pressure * molar_mass / (compressibility *
gas_constant * temperature). Require every input to be known. Require pressure > 0.0 and molar_mass > 0.0
and compressibility > 0.0 and gas_constant > 0.0 and temperature > 0.0.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"pressure": "100", "molar_mass": "2", "compressibility": "1", "gas_constant": "4",
"temperature": "5"}; expected 10. Result matched through Bangel, admitted JP, the Bangel API, with validated
receipt outputs. 5 missing-input cases and 1 supplied domain cases passed.
SOURCE DIMENSION
mass/volume
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 185,186; D012 pp. 69,70
Evidence: evidence/rerun/pink/F-082.json

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