@article{aunifiedgeometricfieldtheoryframeworkfor, title = {A Unified Geometric Field Theory Framework for Transformers: From Manifold Embeddings to Kernel Modulation}, author = {Xianshuai Shi and Jianfeng Zhu and Leibo Liu}, year = {2025}, eprint = {2511.08243}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2511.08243}, }