What question did this study set out to answer?

The aim is to develop a cognitive substrate using PMCA that overcomes limitations of existing LLMs, focusing on enhanced mathematical reasoning and transformation.

August 2, 2026Open Access

Pure Mathematical Conal Architecture (PMCA): A Ground-Up Framework for Non-Anthropomorphic Cognitive Substrates, 3D Metric Conal Pathways, and Zero-Reprocessing Traversal

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Authors

JFJONATHAN WAYNE FLEURENPublic Works and Government Services Canada

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Implication

This framework demonstrates zero-reprocessing traversal in cognitive architectures, highlighting efficient mathematical reasoning and transformation.

Key Points

The aim is to develop a cognitive substrate using PMCA that overcomes limitations of existing LLMs, focusing on enhanced mathematical reasoning and transformation.
Introduced PMCA incorporating mathematical geometry for cognitive processing.
Utilized pre-trained transformer embeddings and character N-gram projections to map inputs.
Demonstrated 100,000 spatial particle transformations with JAX/XLA acceleration.
Achieved computational flow through a gradient potential drive, enabling rapid processing.
Presented empirical benchmarks with 100,000 transformations completed in 69.52 ms.
Established a 25-phase master execution pipeline for efficient cognitive operations.

Cite This Study

JONATHAN WAYNE FLEUREN (2026) studied this question.

synapsesocial.com/papers/6a6eeae61b0468a7eeab392d https://doi.org/10.5281/zenodo.21712969

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Implication

This framework demonstrates zero-reprocessing traversal in cognitive architectures, highlighting efficient mathematical reasoning and transformation.

Pure Mathematical Conal Architecture (PMCA): A Ground-Up Framework for Non-Anthropomorphic Cognitive Substrates, 3D Metric Conal Pathways, and Zero-Reprocessing Traversal

Discussion

Member takes

Implication

Key Points

Cite This Study

Pure Mathematical Conal Architecture (PMCA): A Ground-Up Framework for Non-Anthropomorphic Cognitive Substrates, 3D Metric Conal Pathways, and Zero-Reprocessing Traversal

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Member takes

Implication

Key Points

Cite This Study

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