teal papers / BarTide collection

Pearl simulation capacity slack

TR-PINK-F-046

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
67
TEAL-RERUN-02-B003 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-046 / Pearl simulation capacity slack
IF
Invoke F-046 with exactly these inputs: headroom: Real, capacity: Real, load: Real. Real values use finite
decimal text; null remains unknown.
HOW
Source expression: S_Pk=(1-h_Pk)*C_Pk-L_Pk. Current Bangel expression: (1.0 - headroom) * capacity - load.
Require every input to be known. Require headroom >= 0.0 and headroom < 1.0 and capacity > 0.0 and load
>= 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 {"headroom": "0.1", "capacity": "100", "load": "60"}; expected 30. Result matched through
Bangel, admitted JP, the Bangel API, with validated receipt outputs. 3 missing-input cases and 0 supplied
domain cases passed.
SOURCE DIMENSION
quantity_k
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. 107,108; D011 pp. 97,98
Evidence: evidence/rerun/pink/F-046.json

Original references: F-046