Molecular construction in the relational quantum vacuum

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We conjecture that the quantum vacuum fluctuations operate through abstract mathematical relations of relations. Then we show how to construct a number of molecules from simple rules. Although this is an application of the Wolfram model, the conjecture itself is more general and therefore does not restrict to its rules.

https://doi.org/10.31219/osf.io/n5rzy

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 271, 2022 [KQ]

The qubit permutation semigroup

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We propose the equivalence between one Wolfram model and the qubit permutation semigroup.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 270, 2022 [KP]

The inner structure of time

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Based on the idea that time is computation, we discuss one interpretation regarding the inner structure of time that explains quantum superposition.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 269, 2022 [KO]

LJ calculus with stoup: A pedagogical approach

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We prove a theorem in calculus LJ and in LJT (LJ with stoup) as well. We show that while there are many proofs to one single theorem in LJ, there is exactly one proof in LJT.

https://doi.org/10.31219/osf.io/z6h4q

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 268, 2022 [KN]

Proofs of Theorems in Topology

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We prove some theorems in topology using the fewest number of symbols at each step. Our purpose is pedagogical.

https://doi.org/10.31219/osf.io/wn24y

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 267, 2022 [KM]

Theorems in Topology

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This is an introductory collection of theorems in topology.

https://doi.org/10.31219/osf.io/zm56w

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 4, Article 260, 2022 [KE]