[knowledge base]
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
Op. J. Math. Phys.
Volume 2, Article 122, 2020 [ES]
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 87, 2020 [DJ]
[original idea]
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
Op. J. Math. Phys.
Volume 1, Article 16, 2019 [AP]
[microreview]
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
Op. J. Math. Phys.
Volume 1, Article 3, 2019 [AC]
[microreview]
This article connects metric tensor with its pullback.
https://doi.org/10.31219/osf.io/puhzw
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 2, 2019 [AB]
Open Journal of Mathematics and Physics 