BarTide

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DRO quantity count / DRO remainder

TR-TP-168

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 ยท September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
169
TEAL-RERUN-01-B007 | DOCUMENTARY_IDENTITY_VERIFIED
TR-TP-168 / DRO quantity count / DRO remainder
IF
If the Blue Page identity is invoked with declared inputs, scope, units, and evidence state.
HOW
Result dimensions: count, quantity. Primary manifestations: DRO, JO, JP, MJ, MK, PEARL. 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.
CURRENT EVIDENCE
The individual TP-168 reference profile was executed and its identity, title and REFERENCE_ONLY ceiling
matched. This is a documentary identity check, not execution of the full model. Explicit source links resolve to
2 Pink formula IDs: 0 have checked numeric profiles and 2 remain open.
INDIVIDUAL FORMULA LINKS
F-202, F-203
REMAINING REQUIREMENT
Bind model-specific inputs, operations and measured evidence before interpreting the paper as an executable implementation.
SOURCE REFERENCES
TP-168; BP-ALG-168
Evidence: evidence/rerun/teal/TP-168.json

Original references: TP-168, F-202, F-203, BP-ALG-168