TP-085 / Teal / Review draft

Full conical-frustum volume

Terminology revised · evidence inherited

TEAL PAGES Combined 500 Pages. Source pages 1496-1496. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained.

TP-085
Full conical-frustum volume
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
IF/HOW/THEN logic | source kind: BLUE_PAGE
IF
If the Blue Page identity is invoked with declared inputs, scope, units, and evidence state.
HOW
Result dimensions: volume. Primary manifestations: JO, JP, MK. The lifecycle is purpose declaration -> Bangel typing -> Elsa semantic recovery -> JP formula CAPO
-> MK applicability and dimensional review -> JO proof -> applicable safety/accounting receipts -> MJ decision -> JO evidence. JP carries the canonical
representation; MK classifies physics applicability, units, boundaries, conservation, scale, and uncertainty; JO verifies types, formulas, tests, and receipts; applicable
safety and accounting manifestations contribute evidence; MJ alone issues a bounded permit. Mathematical validity does not create physical or operational authority.
THEN
Then JO returns PASS_EVIDENCE, HOLD, FAIL_TECHNICAL, or DENY; MJ permission remains a separate gate.
LIMITATIONS AND EVIDENCE CEILING
Unknown is not zero. Inputs, units, scale, environment, uncertainty, and control volume must be explicit. No physical performance, certification, legal right, financial
outcome, or safety conclusion is established by this brief.
SOURCE REFERENCES
BP-ALG-085
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
85

Publication is pending owner review. White papers are excluded.