@article{thespectrallifecycleoftransformertrainin,
  title = {The Spectral Lifecycle of Transformer Training: Transient Compression Waves, Persistent Spectral Gradients, and the Q/K--V Asymmetry},
  author = {Yi Liu},
  year = {2026},
  eprint = {2604.22778},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.22778},
}