teal papers / BarTide collection

Pearl simulation surface-area approximation

TR-PINK-F-044

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
65
TEAL-RERUN-02-B003 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-044 / Pearl simulation surface-area approximation
IF
Invoke F-044 (Pearl simulation surface-area approximation) only with the source-defined inputs, scope,
evidence and result dimension (area). A complete executable parameter schema has not been bound to this
ID.
HOW
Preserve the source relation exactly: A_P~=4*pi*((a^p*b^p+a^p*c^p+b^p*c^p)/3)^(1/p), p=1.6075.
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
area
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. 103,104; D011 pp. 93,94
Evidence: evidence/rerun/pending/F-044.json

Original references: F-044