Binding-Motivated Contextuality: A Cross-Domain Cyclic Test in Perception and Judgment

arXiv:2609.23977 · q-bio.NC · Submitted 2026-09-21 · Read on arXiv

q-bio.NC

Submitted: 2026-09-21

Updated: 2026-09-29

Comments: 72 pages, 10 figures. v2 corrects the central claim of v1: the two arenas share one convex global-assignment geometry, not a cohomology class. Code and data: https://doi.org/10.17605/OSF.IO/5NPT4

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Frustration — 22× in this paper · explained in 2 episodes
• Calibration — 10× in this paper · explained in 7 episodes
• Consistency — 10× in this paper · explained in 3 episodes
• Residualization — 8× in this paper · explained in 2 episodes
• Holonomy — 5× in this paper · explained in 2 episodes
• Robustness — 5× in this paper · explained in 5 episodes
• Degeneracy — 4× in this paper · explained in 3 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Generalization — 2× in this paper · explained in 13 episodes
• Predictive Coding — 2× in this paper · explained in 2 episodes
• Anisotropy — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Selection Bias — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• The contextual fraction as a measure of contextuality
• On the Cohomology of Contextuality
• A note on the relation between the Contextual Fraction and CNT2
• Exploration of Contextuality in a Psychophysical Double-Detection Experiment
• Contextuality Analysis of Impossible Figures
• Epistemic Odds of Contextuality in Cyclic Systems
• Is there contextuality in behavioral and social systems?
• Obstructions to Reality: Torsors & Visual Paradox
• Impossible by Degrees: Cohomology & Bistable Visual Paradox
• On Brain as a Mathematical Manifold: Neural Manifolds, Sheaf Semantics, and Leibnizian Harmony
• Sheaf Cohomology of Linear Predictive Coding Networks

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