Multi-Phase Topological Cognition
Jen Chen · Cognitive Topology & Phase Theory
A research project on how human minds operate in multi-phase topological spaces: intuition, non-linear transitions, and high-dimensional conceptual structures beyond fixed vector spaces.
About This Work
MTPT (Multi-Phase Topological Theory) and TCF (Topological Cognitive Framework)
explore a model of mind where cognition unfolds as phase transitions in a
deformable topological space, rather than as linear sequences in a static
vector space.
This site collects core ideas, technical documents, and public-facing texts related to this model. It is designed to be clean, minimal, and readable, so that the underlying structures can be seen without visual noise.
Research Focus
Three main directions currently being developed.
Multi-Phase Mind
How cognition jumps between phases: sudden insight, irreversible restructurings,
and non-linear reconfiguration of internal tension fields.
Topological Cognition
Modelling the mind as a deformable manifold with local densities and
tension lines, instead of fixed coordinates in a Euclidean space.
Human–AI Structural Gap
Comparing human phase kernels with AI vector-space processing, and
clarifying where current models fundamentally cannot emulate human intuition.
Selected Papers & Drafts
Publicly available documents related to MTPT / TCF.
A Multi-Phase Topological Model of the Mind (MTPT), 2025
→ Open on Zenodo
The Geometric Limits of Vector-Space Models, 2025
→ Open on Zenodo
Contact
For questions, collaborations, or technical discussions.
Email · [email protected]
Please feel free to reference this site or specific documents when reaching out.
Please feel free to reference this site or specific documents when reaching out.