Research · Updates
Open Problem Resolution Map Updates
Project Scope
This page tracks the maturation of the frontier program.
When a research direction becomes strong, it stops being a list of hopes and becomes a list of targets with outputs.
The updates here explain how the frontier layer was strengthened so that each target is tied to:
- a concrete artifact contract
- a witness format when the contract fails
- a clear relationship to region-level cover-or-atlas reporting
This page records what changed as the frontier program became precise enough to guide work by targets rather than by mood.
Why this page exists
The rigidity program has two kinds of outputs:
- certificate outputs (Doeblin witnesses, recurrence objects, rate packs, robustness radii)
- obstruction outputs (finite witnesses that localize why certificates cannot exist)
Frontier work is about identifying the boundary where one of these two outputs must occur.
What this update adds to the frontier layer
| Addition | What it gives you | Why it matters |
|---|---|---|
| A stable target naming scheme | A consistent list of questions that are testable by certificate-or-obstruction artifacts | It prevents the research program from fragmenting into one-off explorations |
| A witness-producing emphasis | A focus on frontiers where failure produces a finite obstruction witness, not only an existential argument | It turns open questions into things that can be falsified by a concrete object |
| A bridge into atlas reporting | A clear link between frontier targets and region-level cover-or-atlas artifacts | It connects local obstruction geometry to global parameter navigation |
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