The atmospheric models used (1D parametric) struggle to perfectly fit the observed JWST spectra, resulting in high reduced chi-squared values (~300). This indicates limitations in the models or data processing, implying that some atmospheric details might not be accurately captured despite the data's precision.
Indirect Evidence for Aurora
While auroral heating is a strong hypothesis for the stratospheric inversion, direct observational evidence (like UV or IR aurora emission) is still lacking. The estimated energy input from electron precipitation also appears insufficient to fully explain the observed heating, suggesting other mechanisms or distinct auroral processes are at play.
1D Approximation for 3D System
The study relies on 1D atmospheric retrievals for a dynamically complex, rotating 3D object. This means it assumes each observed spectrum is independent, while in reality, JWST observes a full hemisphere, leading to correlated emissions that 1D models cannot fully resolve.
The paper notes an inconsistency (the "small radius problem") when determining the brown dwarf's radius from atmospheric and evolutionary models, suggesting that current cloud treatments or other aspects of the models might be incomplete.
Limited Chemical Species Data
Not all important chemical species (e.g., N2, which is expected to be a dominant nitrogen carrier) were directly measured, which introduces uncertainty in the calculated elemental abundance ratios.
Computational Limitations
Some advanced statistical analyses (e.g., reliably measuring Bayesian evidence for detection significances for each species) were limited by computational costs, meaning some inferences were not as robust as they could be with more extensive computation.