teal papers / BarTide collection

Recovered energy ceiling

TR-PINK-F-179

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
200
TEAL-RERUN-02-B008 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-179 / Recovered energy ceiling
IF
Invoke F-179 with exactly these inputs: recovered: Real, recovery_efficiency: Real, available_loss: Real. Real
values use finite decimal text; null remains unknown.
HOW
Source expression: E_recovered <= eta_recovery * E_available_loss. Current Bangel expression: recovered
<= recovery_efficiency * available_loss. Require every input to be known. Require recovered >= 0.0 and
recovery_efficiency >= 0.0 and recovery_efficiency <= 1.0 and available_loss >= 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 {"recovered": "4", "recovery_efficiency": "0.5", "available_loss": "10"}; expected true. Result
matched through Bangel, admitted JP, the Bangel API, with validated receipt outputs. 3 missing-input cases
and 1 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
D018 pp. 5,12
Evidence: evidence/rerun/pink/F-179.json

Original references: F-179