Research ideas

Every idea extracted from recent arXiv mathematics papers — verified and unverified. Click an idea to open its full card; badges show the empirical verdict.

Unverified 2026

Zeno-Free Minkowski Routing

Represent adaptive computation or MoE routing as a continuous latent trajectory that crosses convex mode walls, with a Minkowski norm defining computational speed. At a wall, choose the outgoing latent velocity by the same constrained variational rule as billiard reflection, and use the local path-length certificate to detect or prevent pathological accumulation of infinitely many routing events in finite depth.

Useful6/10
Difficulty7/10
Novelty8/10
Paper: Local finiteness of the number of reflections in semi-dispersing Minkowski billiards arXiv:2608.12618