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R lifecycle, nodes and variance

TR-CORE-NODES

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
13
TEAL-RERUN-03-B001 | RELATED_EXECUTION_EVIDENCE_AVAILABLE
TR-CORE-NODES / R lifecycle, nodes and variance
IF
A model enters R/R1, prediction nodes and an R2/evidence stage.
HOW
Keep lifecycle order and source-specific node rules explicit. The language topology model, Pink node gain and
water-risk node decay are distinct equations; do not replace them with one generic damping rule.
THEN
Retain each model's bounded result, provenance and missingness. A traversal marker is not proof of physical
observation.
CURRENT EVIDENCE
Fresh related language/paper/water checks are in the evidence ledger. The test count is suite evidence, not
proof of every branch in this requirement.
REMAINING REQUIREMENT
Use the source and recorded case evidence to close remaining per-branch, native-host and full-contract coverage gaps.
SOURCE REFERENCES
bangel:language/python/src/bangel/topology.py; bangel:language/python/src/bangel/state.py;
associated-core:reference/src/bangel/topology.py; associated-core:reference/src/bangel/state.py

Original references: See paper text and source PDF.