Minzu Normal University of Xingyi

A Field-Theoretic Reading of Transformer Probing Structure: QKV Three-Channel Division × q Two-Layer × Final-Layer Immunity

The query-key-value (QKV) three-channel architecture is the core of the attention mechanism, yet a unified reading of the functional division among these channels within the probing structure remains lacking. Using a field-theoretic framework (materials as density-clustering fiel...

Density Clustering Matrix: Standard Matrix as the δ-Aligned Subspace Special Case

Field Domain Mathematics posits that numbers are density clusterings in space. This paper defines the Density Clustering Matrix with elements as density clustering points, addition as Merge and multiplication as Resonance. Key finding: standard matrix is an exact special case on...