Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2025
|
| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.15566601 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- <p>Este artículo presenta el tensor de deformación métrica, como una herramienta estructural para cuantificar transiciones entre métricas en espacios diferenciables. Se analizan sus propiedades algebraicas, se introduce una distancia logarítmica asociada y se propone una entropía métrica estructural. Se discuten aplicaciones en física teórica, elasticidad y redes neuronales. Este desarrollo forma parte del marco teórico de la Ingeniería Algebraica, detallado en <strong><a href="https://doi.org/10.5281/zenodo.15515821" target="_new" rel="noopener">https://doi.org/10.5281/zenodo.15580970</a></strong>. </p> <p><strong>This article presents the metric deformation tensor as a structural tool to quantify transitions between metrics in differentiable spaces. Its algebraic properties are analyzed, a related logarithmic distance is introduced, and a structural metric entropy is proposed. Applications in theoretical physics, elasticity, and neural networks are discussed. This development is part of the theoretical framework of Algebraic Engineering, detailed at </strong> <strong><a href="https://doi.org/10.5281/zenodo.15515821" target="_new" rel="noopener">https://doi.org/10.5281/zenodo.15580970</a></strong>. </p>