teal papers / BarTide collection

Solar/auxiliary/recovery input energy

TR-PINK-F-146

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
167
TEAL-RERUN-02-B007 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-146 / Solar/auxiliary/recovery input energy
IF
Invoke F-146 with exactly these inputs: solar: Real, auxiliary: Real, recovered: Real. Real values use finite
decimal text; null remains unknown.
HOW
Source expression: E_in = E_solar + E_aux + E_recovered. Current Bangel expression: solar + auxiliary +
recovered. Require every input to be known. Require solar >= 0.0 and auxiliary >= 0.0 and recovered >= 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 {"solar": "10", "auxiliary": "3", "recovered": "2"}; expected 15. 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
D017 pp. 3,11
Evidence: evidence/rerun/pink/F-146.json

Original references: F-146