teal papers / BarTide collection

Outward angular-gap predicate

TR-TP-127

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 · September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
128
TEAL-RERUN-01-B006 | DOCUMENTARY_IDENTITY_VERIFIED
TR-TP-127 / Outward angular-gap predicate
IF
If the Blue Page identity is invoked with declared inputs, scope, units, and evidence state.
HOW
Result dimensions: logical. 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.
CURRENT EVIDENCE
The individual TP-127 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
1 Pink formula IDs: 0 have checked numeric profiles and 1 remain open.
INDIVIDUAL FORMULA LINKS
F-132
REMAINING REQUIREMENT
Bind model-specific inputs, operations and measured evidence before interpreting the paper as an executable implementation.
SOURCE REFERENCES
TP-127; BP-ALG-127
Evidence: evidence/rerun/teal/TP-127.json

Original references: TP-127, F-132, BP-ALG-127