Papers · Preprint
Emergence IS the Needle Killer
Why some obstacles vanish when you climb one layer up.
In plain words
A needle is a sharp local failure that looks unavoidable at the level where you first see it. Many obstruction arguments rest on one.
The paper studies one audited way needles stop being obstacles: move to a higher layer where more probes are allowed. Under stated bounds on the native side, the residual side and transport, the dissolving currency stays bounded across all accepted stages. So no predictive needle survives.
A second theorem is about mirrors. Under a self duality with a separating odd readout, if a sequence of bounds has trace going to zero, visible mass is pinned to the fixed points of the mirror.
What it shows
- The layer dissolving endpoint theorem.
- The duality confinement membrane theorem.
- A taxonomy of transfer records used to control the passage between layers.
What it does not claim
These are framework bound results, not a universal way to remove singularities, and not a claim about any named external problem.
Cite
Tsiokos, I. (2026). Emergence IS the Needle Killer. Zenodo. https://doi.org/10.5281/zenodo.20713688