teal papers / BarTide collection

Conservation residual

TR-PINK-F-042

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
63
TEAL-RERUN-02-B003 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-042 / Conservation residual
IF
Invoke F-042 with exactly these inputs: incoming: Real, outgoing: Real, stored: Real, loss: Real. Real values
use finite decimal text; null remains unknown.
HOW
Source expression: r_q=q_in-q_out-Deltaq-q_loss. Current Bangel expression: incoming - outgoing - stored -
loss. 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 {"incoming": "100", "outgoing": "60", "stored": "30", "loss": "10"}; expected 0. Result matched
through Bangel, admitted JP, the Bangel API, with validated receipt outputs. 4 missing-input cases and 0
supplied domain cases passed.
SOURCE DIMENSION
quantity
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. 99,100; D011 pp. 89,90
Evidence: evidence/rerun/pink/F-042.json

Original references: F-042