The Architecture of Implicit Knowledge: Computational Models of Intuition from Quantum Probability to High-Dimensional Manifolds Article Swipe
This work develops a unified computational theory of intuition, reframing intuitive judgment as a mathematically tractable class of information-processing strategies rather than a mystical or heuristic residue. Integrating predictive processing, manifold geometry, sparse coding, quantum cognition, bounded rationality, and modern deep learning, the paper formalizes intuition as rapid uncertainty minimization via high-dimensional shortcutting. Intuitive inference is modeled through geodesic traversal on low-dimensional manifolds, interference-based belief updates in non-commutative Hilbert spaces, sparse feature activation, and resource-constrained policy selection. The analysis contrasts these parametric, System-1-like mechanisms with explicit, retrieval-based System-2 architectures such as RAG, Counterfactual RAG, and Oracle-Augmented Generation. The resulting framework explains both the power and fragility of intuition—its efficiency, creativity, hallucination modes, and order effects—and proposes architectural principles for hybrid systems that combine intuitive generalization with verifiable grounding
Related Topics
Concepts
Computer science
Theoretical computer science
Inference
Artificial intelligence
Mathematics
Bounded function
Verifiable secret sharing
Algorithm
Finitary
Counterfactual thinking
Axiom
Computational complexity theory
Heuristics
Leverage (statistics)
Counterexample
Computational resource
Cognitive architecture
Class (philosophy)
Minification
Imperfect
Machine learning
Quantization (signal processing)
Generalization
Quantum
Categorical variable
Heuristic
Computational model
Infinitesimal
Theory of computation
Generator (circuit theory)
Turing machine
Dynamical systems theory
Sketch
Algebra over a field
Robustness (evolution)
Approximate inference
Fragility
Equivalence (formal languages)
Metadata
- Type
- preprint
- Landing Page
- https://doi.org/10.5281/zenodo.17811206
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7108635743
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W7108635743Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.5281/zenodo.17811206Digital Object Identifier
- Title
-
The Architecture of Implicit Knowledge: Computational Models of Intuition from Quantum Probability to High-Dimensional ManifoldsWork title
- Type
-
preprintOpenAlex work type
- Publication year
-
2025Year of publication
- Publication date
-
2025-12-04Full publication date if available
- Authors
-
Slade, TrentList of authors in order
- Landing page
-
https://doi.org/10.5281/zenodo.17811206Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.5281/zenodo.17811206Direct OA link when available
- Concepts
-
Computer science, Theoretical computer science, Inference, Artificial intelligence, Mathematics, Bounded function, Verifiable secret sharing, Algorithm, Finitary, Counterfactual thinking, Axiom, Computational complexity theory, Heuristics, Leverage (statistics), Counterexample, Computational resource, Cognitive architecture, Class (philosophy), Minification, Imperfect, Machine learning, Quantization (signal processing), Generalization, Quantum, Categorical variable, Heuristic, Computational model, Infinitesimal, Theory of computation, Generator (circuit theory), Turing machine, Dynamical systems theory, Sketch, Algebra over a field, Robustness (evolution), Approximate inference, Fragility, Equivalence (formal languages)Top concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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| abstract_inverted_index.grounding | 127 |
| abstract_inverted_index.heuristic | 25 |
| abstract_inverted_index.inference | 54 |
| abstract_inverted_index.intuition | 45 |
| abstract_inverted_index.intuitive | 10, 123 |
| abstract_inverted_index.learning, | 41 |
| abstract_inverted_index.reframing | 9 |
| abstract_inverted_index.resulting | 98 |
| abstract_inverted_index.tractable | 15 |
| abstract_inverted_index.traversal | 59 |
| abstract_inverted_index.cognition, | 35 |
| abstract_inverted_index.formalizes | 44 |
| abstract_inverted_index.intuition, | 8 |
| abstract_inverted_index.manifolds, | 62 |
| abstract_inverted_index.mechanisms | 83 |
| abstract_inverted_index.predictive | 28 |
| abstract_inverted_index.principles | 117 |
| abstract_inverted_index.selection. | 76 |
| abstract_inverted_index.strategies | 19 |
| abstract_inverted_index.verifiable | 126 |
| abstract_inverted_index.Generation. | 96 |
| abstract_inverted_index.Integrating | 27 |
| abstract_inverted_index.activation, | 72 |
| abstract_inverted_index.creativity, | 109 |
| abstract_inverted_index.efficiency, | 108 |
| abstract_inverted_index.parametric, | 81 |
| abstract_inverted_index.processing, | 29 |
| abstract_inverted_index.uncertainty | 48 |
| abstract_inverted_index.minimization | 49 |
| abstract_inverted_index.rationality, | 37 |
| abstract_inverted_index.System-1-like | 82 |
| abstract_inverted_index.architectural | 116 |
| abstract_inverted_index.architectures | 88 |
| abstract_inverted_index.computational | 5 |
| abstract_inverted_index.effects—and | 114 |
| abstract_inverted_index.hallucination | 110 |
| abstract_inverted_index.shortcutting. | 52 |
| abstract_inverted_index.Counterfactual | 92 |
| abstract_inverted_index.generalization | 124 |
| abstract_inverted_index.mathematically | 14 |
| abstract_inverted_index.intuition—its | 107 |
| abstract_inverted_index.low-dimensional | 61 |
| abstract_inverted_index.non-commutative | 67 |
| abstract_inverted_index.retrieval-based | 86 |
| abstract_inverted_index.Oracle-Augmented | 95 |
| abstract_inverted_index.high-dimensional | 51 |
| abstract_inverted_index.interference-based | 63 |
| abstract_inverted_index.resource-constrained | 74 |
| abstract_inverted_index.information-processing | 18 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| citation_normalized_percentile |