Differential Forms (Open Mathematics Knowledge Base)

[knowledge base]

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We present a list of mathematical results about differential forms for future implementation in a digital Open Mathematics Knowledge Base.

https://doi.org/10.31219/osf.io/g7uqb

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 122, 2020 [ES]

The Warp Drive: search for a pure mathematical approach

[microresearch]

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The purpose of this microarticle is to issue an open invitation in order to collaboratively devise the connection between the warp drive and its corresponding pure mathematical formulation (definitions, theorems, prerequisites). By this approach, I believe one can fully understand the mechanisms underlying this process, and we could finally move toward its application.

https://doi.org/10.31219/osf.io/ht246

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 87, 2020 [DJ]

Route one to quantum gravity

[original idea]

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These are the first steps, I believe, that can contribute to the understanding of the most fundamental nature of spacetime.

https://doi.org/10.31219/osf.io/4mbxq

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 16, 2019 [AP]

Tangent Vectors on Tangent Euclidean Spaces

[microreview]

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This is an article on differential geometry that connects tangent vectors and tangent Euclidean spaces.

https://doi.org/10.31219/osf.io/vpz9x

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 3, 2019 [AC]

The metric tensor pullback

[microreview]

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This article connects metric tensor with its pullback.

https://doi.org/10.31219/osf.io/puhzw

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 2, 2019 [AB]