Logical Loop

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We discuss the dubbed term “logical loop” and it’s implication regarding provability in undecidable theorems.

https://doi.org/10.31219/osf.io/c5ezm

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 123, 2020 [ET]

Reinventing Scientific Journals

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We present what we believe are mandatory parameters for a robust Scientific Journal in order to preserve the health of our academic publishing system.

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

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 107, 2020 [ED]

The singularity of the universe

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We address a discussion on the finite nature of the initial singularity and proposes a justification for a more general principle of energy conservation.

https://doi.org/10.31219/osf.io/z7gc6

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 102, 2020 [DY]

Philosophical questions

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We present a list of important philosophical questions.

https://doi.org/10.31219/osf.io/9sjub

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 96, 2020 [DS]

Subtraction of Transfinite Ordinals

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We present the subtraction of transfinite ordinal numbers.

https://doi.org/10.31219/osf.io/yvrf3

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 91, 2020 [DN]

A multivalued infinity

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We define 0/0 as the complex function f(z) = z.

https://doi.org/10.31219/osf.io/vtjy7

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 89, 2020 [DL]

The Warp Drive: search for a pure mathematical approach

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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]

Dirac delta regularization

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I present a finite result for the Dirac delta “function.”

https://doi.org/10.31219/osf.io/5vfth

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 86, 2020 [DI]

Quadratic convergence of a multivalued series (S+)

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We use the Infinity Theorem to find two possible values for S+.

https://doi.org/10.31219/osf.io/rx79h

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 85, 2020 [DH]

Electromagnetic mass as a superposition of Planck masses

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At the Planck scale, the electromagnetic mass is composed by infinite negative Planck masses.

https://doi.org/10.31219/osf.io/cevm3

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 84, 2020 [DG]

Sum of all natural numbers

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1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + … = ?

https://doi.org/10.31219/osf.io/yx28b

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 83, 2020 [DF]

Universal Scientific Database

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Science is about connections. A very suitable application of mathematical graph theory can be accomplished for tracking all the human scientific knowledge.

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

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 80, 2020 [DC]

An open essay on open science

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This is an open microarticle. We are issuing an open invitation for new contributions to this article in order to join forces and strengthen the field of openness of science and to promote a worldwide culture that might lead to unprecedented growth of scientific discoveries, which may spark a permanent revolution in science and technology in the near future. The guidelines for participating in this open project by co-authoring this work are described herein. Open Science (in any field of knowledge) can succeed extraordinarily solely by virtue of two simple elements: people willing to collaborate and a suitable online platform. We believe that science would progress substantially if we unite open researchers worldwide using nowadays technology in a clever way so that the results meet the standards required for high-level publications demanded by our current society. We present a simple way to accomplish “Open Science in Open Access Forums.”

https://doi.org/10.31219/osf.io/42jsg

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 79, 2020 [DB]

A hole in the black hole

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Supposedly, matter falls inside the black hole whenever it reaches its event horizon. The Planck scale, however, imposes a limit on how much matter can occupy the center of a black hole. It is shown here that the density of matter exceeds Planck density in the singularity, and as a result, spacetime tears apart. After the black hole is formed, matter flows from its center to its border due to a topological force; namely, the increase on the tear of spacetime due to its limit, until it reaches back to the event horizon, generating the firewall phenomenon. We conclude that there is no spacetime inside black holes. We propose a solution to the black hole information paradox.

https://doi.org/10.31219/osf.io/js7rf

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 78, 2020 [DA]

The infinity theorem

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The infinity theorem is presented stating that there is at least one multivalued series that diverge to infinity and converge to infinite finite values.

https://doi.org/10.31219/osf.io/9zm6b

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 75, 2020 [CX]

The opposite effect of infinitesimal molecule dilutions due to quantum information conservation

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Two axioms explain the contrary effect produced in infinitesimal dillutions.

https://doi.org/10.31219/osf.io/cwvt9

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 72, 2020 [CT]

The convergence of Grandi’s series

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The infinite series 1 – 1 + 1 – 1 + … converges to 1/2.

https://doi.org/10.31219/osf.io/aq5xz

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 70, 2020 [CR]

The logic of entanglement in gravity

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We explore the relation between gravity and entanglement using mathematical logic (Modus Ponens).

https://doi.org/10.31219/osf.io/m2dca

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 58, 2019 [CF]

A pedagogical proof for cos(sin x) > sin(cos x)

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A pedagogical proof for cos(sin x) > sin(cos x) is presented.

https://doi.org/10.31219/osf.io/mrv8t

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 51, 2019 [BY]

Generalized Pierce law

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An extension of the Pierce law is presented, considering n “if then” connectives.

https://doi.org/10.31219/osf.io/6fbgp

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 50, 2019 [BX]

Mathematics beyond axioms

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We consider that if there is a Non-Axiomatic System, then by introducing the axiom of mathematical proof, the undecidable theorems are not in any Axiomatic System.

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

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 46, 2019 [BT]