teal papers / BarTide collection

Opportunity lower bound

TR-PINK-F-036

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
57
TEAL-RERUN-02-B003 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-036 / Opportunity lower bound
IF
Invoke F-036 with exactly these inputs: return_low: Real, friction: Real, risk: Real, liquidity: Real, regulatory:
Real. Real values use finite decimal text; null remains unknown.
HOW
Source expression: O_L = Return_L-F_capital_H-RiskPenalty_H-LiquidityPenalty_H-RegulatoryUncertainty_H.
Current Bangel expression: return_low - friction - risk - liquidity - regulatory. 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 {"return_low": "100", "friction": "5", "risk": "10", "liquidity": "20", "regulatory": "2"}; expected
63. Result matched through Bangel, admitted JP, the Bangel API, with validated receipt outputs. 5
missing-input cases and 0 supplied domain cases passed.
SOURCE DIMENSION
currency
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. 87,88; D011 pp. 77,78
Evidence: evidence/rerun/pink/F-036.json

Original references: F-036