Work

Mathematical Formalization of Non-Commutative Tensor Fields and Neural Manifold Evolution

Year: 2025

Type: article

Abstract: This paper formalizes non-commutative tensor calculus applied to evolving neuro-semantic fields. We introduce a novel computational framework where quantum-inspired synaptic operators drive the evolution of fractal cognition patterns. Weextend classical commutator structures into neural space using geometric alge-bra, yielding new insights into phase-encoded neural structures. Implementationis computationally achieved through PyTorch, deriving effective field equations vianeuro-geometric programming. Applications encompass advanced artificial-intelligence cognition, quantum computing, and non-commutative gravity.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15070141

Authors: Emmerson, Parker, Yeshuason, Pig, Rooter - Lulu

Language: English

Topic: Cognitive Computing and Networks

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6930861178

FWCI:

Cites:

Cited by:

Related to: