TR-PINK-F-104 / Teal / Review draft

Outside-circle outlet path

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
125
TEAL-RERUN-02-B005 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-104 / Outside-circle outlet path
IF
Invoke F-104 (Outside-circle outlet path) only with the source-defined inputs, scope, evidence and result
dimension (length^2). A complete executable parameter schema has not been bound to this ID.
HOW
Preserve the source relation exactly: ||gamma(s)-c_P||^2=R_P^2+2R_P*s*sin(alpha_out)+s^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
length^2
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. 224,235,236; D013 pp. 2,13,14
Evidence: evidence/rerun/pending/F-104.json

Publication is pending owner review. White papers are excluded.