Reachability Cones as Local Capacity Geometry in Noetic Diffusion Theory

Langell, Robin

doi:10.5281/zenodo.18527975

Published February 8, 2026 | Version v.0.1

Working paper Open

Reachability Cones as Local Capacity Geometry in Noetic Diffusion Theory

Langell, Robin (Researcher)¹

1. Langell Konsult AB

Reachability Cones introduces a local control-geometric capacity measure in Noetic Diffusion Theory: short-horizon reachability covariances propagated from locally linear MNPS dynamics and innovations. Across extreme EEG/iEEG/fMRI regimes, cone size, anisotropy, effective dimensionality, rotation, and persistence yield stable signatures in sleep staging, seizures, and stratified dementia blocks, with informative near-null results in other contrasts.

Notes (English)

Note on Collaborative Authorship

This manuscript was co-developed through iterative correspondence between human researcher Robin Langell and several large language models.
The primary drafting and theoretical scaffolding were conducted by GPT-5.N (OpenAI), with detailed critique and refinement provided by Claude 4.5 Sonnet (Anthropic), Gemini 3 Pro (Google).Their contributions included mathematical formalization, phenomenological integration, and editorial synthesis within the Noetic Diffusion Theory project.
All models were used as structured reasoning and writing assistants under the direction and final authorship of Robin Langell.

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