MJos Predictive Model | First manifestation of the Bangel Language

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

TR-PINK-F-226 / Teal / Review draft

Generic separation-work lower bound

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
247
TEAL-RERUN-02-B010 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-226 / Generic separation-work lower bound
IF
Invoke F-226 with exactly these inputs: separation_work: Real, free_energy_change: Real. Real values use
finite decimal text; null remains unknown.
HOW
Source expression: W_sep >= Delta G_sep. Current Bangel expression: separation_work >=
free_energy_change. Require every input to be known. No additional domain predicates are declared by this
scalar profile.
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 {"separation_work": "12", "free_energy_change": "10"}; expected true. Result matched through
Bangel, admitted JP, the Bangel API, with validated receipt outputs. 2 missing-input cases and 0 supplied
domain cases passed.
SOURCE DIMENSION
energy
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
D002 pp. 2,3; D016 pp. 2,4
Evidence: evidence/rerun/pink/F-226.json

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