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Robust Reasoning as a Symmetry-Protected Topological Phase

8.02 2601.05240 · 2026-01-08

Authors

Ilmo Sung

Scores

10.0
Novelty
8.3
Technical
6.3
Transferability
5.7
Momentum
7.7
Evidence
9.0
Breakthrough

Rationale

This work introduces a radical paradigm shift by framing logical inference as a Symmetry-Protected Topological phase rather than geometric interpolation, theoretically addressing the fundamental fragility (hallucinations) of statistical models. The empirical demonstration of perfect 100x length extrapolation on symbolic tasks suggests a solution to the 'curse of dimensionality' in reasoning that currently limits Transformers. While the application to unstructured natural language requires further validation, the rigorous link between non-Abelian gauge symmetry and causal stability could define a new, robust universality class for neuro-symbolic AI.