A Complete Correspondence Analysis between QKV Tensor Mechanisms and CTPT Architecture (V2.2)

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Abstract

This work presents a correspondence analysis between the QKV tensor mechanisms of Transformer-based large language models and the Cognitive Topological Phase Transition (CTPT) framework. Rather than proposing a new computational model, this study focuses on structural and topological alignment, mapping attention dynamics, spectral properties, and topological invariants to CTPT phases. The objective is to clarify conceptual boundaries and provide a stable analytical bridge between modern LLM architectures and CTPT as a meta-theoretical framework.

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Topics & keywords

Keywords
  • Tensor (intrinsic definition)
  • Topological data analysis
  • Topology (electrical circuits)
  • Correspondence problem
  • Bridge (graph theory)
  • Correspondence analysis
  • Algebra over a field
  • Work (physics)
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