teal papers / BarTide collection

Spreadsheet capacity gate

TR-PINK-F-080

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
101
TEAL-RERUN-02-B004 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-080 / Spreadsheet capacity gate
IF
Invoke F-080 (Spreadsheet capacity gate) only with the source-defined inputs, scope, evidence and result
dimension (logical). A complete executable parameter schema has not been bound to this ID.
HOW
Preserve the source relation exactly: lambda_total<=rho_max*sum_p(mu_p) AND
memory_required<=memory_available AND cross_partition_edges<=cut_limit. 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
logical
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. 181,182; D012 pp. 65,66
Evidence: evidence/rerun/pending/F-080.json

Original references: F-080