teal papers / BarTide collection

Flow continuity

TR-PINK-F-097

MJ Physics Engineering | Bangel Language | MJos Operating System
Owned and operated by Michael Bangel | Clearwater, Florida

Updated collection edition: BarTide branding and navigation added September 26, 2026. The original paper text below retains its historical scope. Inclusion does not claim its research is implemented in BarTide.

Terminology revised · September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
118
TEAL-RERUN-02-B005 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-097 / Flow continuity
IF
Invoke F-097 with exactly these inputs: area: Real, velocity: Real. Real values use finite decimal text; null
remains unknown.
HOW
Source expression: Q=A(z)*u(z). Current Bangel expression: area * velocity. Require every input to be known.
Require area > 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 {"area": "3", "velocity": "-2"}; expected -6. Result matched through Bangel, admitted JP, the
Bangel API, with validated receipt outputs. 2 missing-input cases and 1 supplied domain cases passed.
SOURCE DIMENSION
volume/time
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. 215,216; D012 pp. 99,100
Evidence: evidence/rerun/pink/F-097.json

Original references: F-097