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

Coherent-Fluctuating Amplitude Units

Represent selected hidden features as z = sqrt(N) exp(i theta), with a persistent phase and an explicitly stochastic amplitude. Regularize the ratio between coherent power |E[z]|^2 and total power E[|z|^2] toward the condensate prediction pi/4, while optionally matching higher amplitude moments.

Useful4/10
Difficulty5/10
Novelty8/10
Paper: Coherent Bose-Einstein condensation with fluctuating density arXiv:2607.12926