[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 123, 2020 [ET]
Tag: microresearch
Reinventing Scientific Journals
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 107, 2020 [ED]
The singularity of the universe
[microresearch]
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 Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 102, 2020 [DY]
Philosophical questions
[microresearch]
We present a list of important philosophical questions.
https://doi.org/10.31219/osf.io/9sjub
Open Collaboration
Op. J. Math. Phys.
Volume 2, Article 96, 2020 [DS]
Subtraction of Transfinite Ordinals
[microresearch]
We present the subtraction of transfinite ordinal numbers.
https://doi.org/10.31219/osf.io/yvrf3
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 91, 2020 [DN]
A multivalued infinity
[microresearch]
We define 0/0 as the complex function f(z) = z.
https://doi.org/10.31219/osf.io/vtjy7
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 89, 2020 [DL]
The Warp Drive: search for a pure mathematical approach
[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]
Dirac delta regularization
[microresearch]
I present a finite result for the Dirac delta “function.”
https://doi.org/10.31219/osf.io/5vfth
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 86, 2020 [DI]
Quadratic convergence of a multivalued series (S+)
[microresearch]
We use the Infinity Theorem to find two possible values for S+.
https://doi.org/10.31219/osf.io/rx79h
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 85, 2020 [DH]
Electromagnetic mass as a superposition of Planck masses
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 84, 2020 [DG]
Sum of all natural numbers
[microresearch]
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + … = ?
https://doi.org/10.31219/osf.io/yx28b
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 83, 2020 [DF]
Universal Scientific Database
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 80, 2020 [DC]
An open essay on open science
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 79, 2020 [DB]
A hole in the black hole
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 78, 2020 [DA]
The infinity theorem
[microresearch]
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
Op. J. Math. Phys.
Volume 2, Article 75, 2020 [CX]
The opposite effect of infinitesimal molecule dilutions due to quantum information conservation
[microresearch]
Two axioms explain the contrary effect produced in infinitesimal dillutions.
https://doi.org/10.31219/osf.io/cwvt9
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 72, 2020 [CT]
The convergence of Grandi’s series
[microresearch]
The infinite series 1 – 1 + 1 – 1 + … converges to 1/2.
https://doi.org/10.31219/osf.io/aq5xz
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 70, 2020 [CR]
The logic of entanglement in gravity
[microresearch]
We explore the relation between gravity and entanglement using mathematical logic (Modus Ponens).
https://doi.org/10.31219/osf.io/m2dca
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 58, 2019 [CF]
A pedagogical proof for cos(sin x) > sin(cos x)
[microresearch]
A pedagogical proof for cos(sin x) > sin(cos x) is presented.
https://doi.org/10.31219/osf.io/mrv8t
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 51, 2019 [BY]
Generalized Pierce law
[microresearch]
An extension of the Pierce law is presented, considering n “if then” connectives.
https://doi.org/10.31219/osf.io/6fbgp
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 50, 2019 [BX]
Mathematics beyond axioms
[microresearch]
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
Op. J. Math. Phys.
Volume 1, Article 46, 2019 [BT]
Open Journal of Mathematics and Physics 