PP-104 / Purple / Review draft

Circular outlet radius lower bound

Terminology revised · evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2419-2419. 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-104
Circular outlet radius lower bound
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-104
module MJ.PBMEF.Blue.BP-ALG-104 {
reference F-109;
expression "F-109 = r_out>=sqrt(A_out/pi)";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-109: r_out>=sqrt(A_out/pi)
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-006 presents the
normalized blueprint; Teal TP-104 expresses IF/HOW/THEN; Brown BR-104 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-109); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-104.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
104

Publication is pending owner review. White papers are excluded.