[microreview]
We prove the Banach-Tarski decomposition paradox applied to a circle.
https://doi.org/10.31219/osf.io/mh5gx
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 142, 2020 [FN]
Tag: geometry
Differential Forms (Open Mathematics Knowledge Base)
[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]
Dark matter and bubbles of void
[original insight]
This is a thought experiment with the following conjecture: bubbles of spacetime void alter the gravitational field of the galaxy and might explain the dark matter phenomenon.
https://doi.org/10.31219/osf.io/w7m3q
Open Physics Collaboration
Op. J. Math. Phys.
Volume 1, Article 33, 2019 [BG]
Axioms of space?
[original idea]
Here, we propose the discussion of which axioms nature really follow in the very quantum realm of spacetime.
https://doi.org/10.31219/osf.io/kx35m
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 9, 2019 [AI]
Tangent Vectors on Tangent Euclidean Spaces
[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]
The metric tensor pullback
[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 