TensoriaCalc: A User-Friendly Tensor Calculus Package for the Wolfram Language

Fuente: arXiv
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Autores principales: Chen, Wei-Hao, Chu, Yi-Zen, Varma, Vaidehi
Formato: Preprint
Publicado: 2025
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author Chen, Wei-Hao
Chu, Yi-Zen
Varma, Vaidehi
author_facet Chen, Wei-Hao
Chu, Yi-Zen
Varma, Vaidehi
contents We describe TensoriaCalc, a tensor calculus package written to be smoothly consistent with the Wolfram Language, so as to ensure ease of usage. It allows multiple metrics to be defined in a given session; and, once a metric is computed, associated standard differential geometry operations to be carried out - covariant derivatives, Hodge duals, index raising and lowering, derivation of geodesic equations, etc. Other non-metric operations, such as the Lie and exterior derivatives, coordinate transformation on tensors, etc. are also part of its built-in functionality.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18796
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle TensoriaCalc: A User-Friendly Tensor Calculus Package for the Wolfram Language
Chen, Wei-Hao
Chu, Yi-Zen
Varma, Vaidehi
General Relativity and Quantum Cosmology
We describe TensoriaCalc, a tensor calculus package written to be smoothly consistent with the Wolfram Language, so as to ensure ease of usage. It allows multiple metrics to be defined in a given session; and, once a metric is computed, associated standard differential geometry operations to be carried out - covariant derivatives, Hodge duals, index raising and lowering, derivation of geodesic equations, etc. Other non-metric operations, such as the Lie and exterior derivatives, coordinate transformation on tensors, etc. are also part of its built-in functionality.
title TensoriaCalc: A User-Friendly Tensor Calculus Package for the Wolfram Language
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.18796