MJos Predictive Model | First manifestation of the Bangel Language

MJ Physics Engineering | Owned and operated by Michael Bangel | Clearwater, Florida

TR-PINK-F-200 / Teal / Review draft

DRO spherical reference volume

Terminology revised ยท September 12 evidence

Later individual Teal rerun. The reported execution status is historical and is not a new test result.

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
221
TEAL-RERUN-02-B009 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-200 / DRO spherical reference volume
IF
Invoke F-200 (DRO spherical reference volume) only with the source-defined inputs, scope, evidence and
result dimension (volume). A complete executable parameter schema has not been bound to this ID.
HOW
Preserve the source relation exactly: V_DRO = 4*pi*r_DRO^3/3. Implement the source-defined vector/matrix,
integer-count, geometric or numerical operator through Bangel and native C#. Specify dimensions, decimal
precision, bounds and negative/unknown cases; do not replace vectors with an unmarked scalar.
THEN
Keep this formula OPEN. The current paper host rejects this ID with PAPER_PROFILE_UNIMPLEMENTED. The
Teal assertion gate holds when method/proof is false. This expected refusal is not a completed
implementation.
CURRENT EVIDENCE
Fresh refusal and hold evidence is recorded individually; no scalar result, transition, permit or physical effect
is fabricated.
SOURCE DIMENSION
volume
REMAINING REQUIREMENT
Implement the source-defined vector/matrix, integer-count, geometric or numerical operator through Bangel and native C#. Specify
dimensions, decimal precision, bounds and negative/unknown cases; do not replace vectors with an unmarked scalar.
SOURCE REFERENCES
D004 pp. 3,7
Evidence: evidence/rerun/pending/F-200.json

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