PP-077 / Purple / Review draft

Spreadsheet capacity gate

Terminology revised · evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2392-2392. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained. Paper notation is a reference profile; the repository reports unresolved Purple/Yellow relationships, so this is not an approved bangel 1.0 program.

PP-077
Spreadsheet capacity gate
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-077
module MJ.PBMEF.Blue.BP-ALG-077 {
reference F-080;
expression "F-080 = lambda_total<=rho_max*sum_p(mu_p) AND memory_required<=memory_available AND cross_partition_edges<=cut_limit";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-080: lambda_total<=rho_max*sum_p(mu_p) AND memory_required<=memory_available AND cross_partition_edges<=cut_limit
CODE -> MATH -> IMAGE -> PROCESS FLOW
Syntax is parsed as a reference candidate; formula or identity resolves to JP; MK classifies physics applicability; JO verifies; visual reference YP-097 presents the
normalized blueprint; Teal TP-077 expresses IF/HOW/THEN; Brown BR-077 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-080); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-077.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
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Publication is pending owner review. White papers are excluded.