LLM Multi-Step Reasoning Collapse Beyond ~8 Hops

Fibers on X

What the data actually shows: Current approaches to llm multi-step reasoning collapse beyond ~8 hops fail to account for the deeper structural patterns revealed by cross-disciplinary analysis.
Why this is necessary: The only stable configuration that allows both maximum informational richness and long-term stability requires llm multi-step reasoning collapse beyond ~8 hops.
What current approaches miss: The information-polarity framework was never applied at this scale, leaving the field with fragmented and often contradictory explanations.
If this is right: Enables practical applications in AI alignment, institutional design, and personal transformation by showing how to intentionally shift along the polarity spectrum.

Series vertex. No documented primary-theorem join — Art.67 stays in the Idea Series.

Idea Series on X — Introduction · Index · Atlas

Outside instrument

Crux

Stake a prior. Name the disagreement. Not a theorem.

Outside the corpus

LLM depth limits. A paper can support a concept. It cannot support a necessity claim. Art.67 remains unproved by every card below.

Support · living source

Tight papers that bear on concepts inside Art.67. A DOI is not a join.

Liu, N. F. et al. (2024). Lost in the middle: How language models use long contexts. TACL 12, 157.
Long-context use is U-shaped; middle tokens drop — a depth/attention limit.
Does not support the necessity claim
Open originalNamed on Art.26, 27, 66, 67
Dziri, N. et al. (2023). Faith and fate: Limits of transformers on compositionality. NeurIPS 2023.
Multi-hop composition collapses as graphs grow — a hard reasoning wall.
Does not support the necessity claim
Open originalNamed on Art.67
Vaswani, A. et al. (2017). Attention is all you need. NeurIPS 2017.
The architecture whose dilution Art.27 names.
Does not support the necessity claim
Open originalNamed on Art.27
Press, O. et al. (2023). Measuring and narrowing the compositionality gap in language models. Findings of EMNLP 2023.
Named on Art.26. Multi-hop composition fails as graphs grow.
Does not support the necessity claim
Open originalNamed on Art.26, 27, 66

Counter-arguments · refusing pole

One domain counter per cluster, not a repeating method quartet. The mirror reads these as enough to refuse necessity.

Wei, J. et al. (2022). Chain-of-thought prompting elicits reasoning in large language models. NeurIPS 2022.
Counter: explicit intermediate tokens raise hop-depth without a new stabilizer.
Does not support the necessity claim
Open originalNamed on Art.26, 27, 66, 67