PP-165 / Purple / Review draft

DRO conservative R threshold / DRO upper spherical reference

Terminology revised · evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2480-2480. 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-165
DRO conservative R threshold / DRO upper spherical reference
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-165
module MJ.PBMEF.Blue.BP-ALG-165 {
reference F-196, F-197;
expression "F-196 = d_R = max(d_A,d_B) = 3e-21 m ; F-197 = d_U = 0.15 nm = 1.5e-10 m";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-196: d_R = max(d_A,d_B) = 3e-21 m; F-197: d_U = 0.15 nm = 1.5e-10 m
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-003 presents the
normalized blueprint; Teal TP-165 expresses IF/HOW/THEN; Brown BR-165 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-196, F-197); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-165.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
165

Publication is pending owner review. White papers are excluded.