TR-PINK-F-103 / Teal / Review draft

Outward-tangential outlet direction

Terminology revised · 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
124
TEAL-RERUN-02-B005 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-103 / Outward-tangential outlet direction
IF
Invoke F-103 (Outward-tangential outlet direction) only with the source-defined inputs, scope, evidence and
result dimension (dimensionless vector). A complete executable parameter schema has not been bound to
this ID.
HOW
Preserve the source relation exactly: d_out=cos(alpha_out)t+sin(alpha_out)n_out; 0<alpha_out<pi/2.
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
dimensionless vector
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
D006 pp. 224,233,234; D013 pp. 2,11,12
Evidence: evidence/rerun/pending/F-103.json

Publication is pending owner review. White papers are excluded.