Superposition as a mathematical mapping between two distinct scales

[original idea]

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A toy model is presented connecting the Planck with the macroscopic scale through a mathematical mapping to explain quantum superposition at a more fundamental level.

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

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 67, 2019 [CO]

Quantum Superposition as Entanglement

[original insight]

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We propose as a hypothesis that quantum superposition can be described by mathematical relations of entanglement.

https://doi.org/10.31219/osf.io/m2ajq

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 66, 2019 [CN]

Golden Rules for Referees

[pedagogical]

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This manuscript serves as a pedagogical guideline for referees during the peer-reviewing process.

https://doi.org/10.31219/osf.io/grz9j

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 65, 2019 [CM]

Arbitrarily Large Sequences with no Prime Numbers

[mathematical insight]

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We present a discussion on the ingenious mathematical insight, x=(n+1)!+2, regarding the proof of the theorem “For every positive integer n, there is a sequence of n consecutive positive integers containing no primes.”

https://doi.org/10.31219/osf.io/3cr7b

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 64, 2019 [CL]

Greatest Common Divisors of the Fibonacci numbers and their indices

[microreview]

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A very interesting property of the Fibonacci numbers alongside with the steps involved in its proof are presented.

https://doi.org/10.31219/osf.io/3tqeg

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 63, 2019 [CK]

Ingenious Mathematical Insights

[original idea]

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The purpose of this paper is to introduce a new type of microarticle, considered for publishing in the Open Journal of Mathematics and Physics (OJMP), dubbed “Mathematical Insight.”

https://doi.org/10.31219/osf.io/vd2fp

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 62, 2019 [CJ]

Teacher as a Researcher in Pure Mathematics

[pedagogical]

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We propose, as an Idea Report, that a teacher well educated in research in pure mathematics can strengthen her/his teaching practice.

https://doi.org/10.31219/osf.io/849gh

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 61, 2019 [CI]

The exterior of the universe and the interior of a black hole

[original insight]

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We propose that “outside the universe = inside a black hole.”

https://doi.org/10.31219/osf.io/huam4

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 60, 2019 [CH]

Spacetime is entangled in a Bell state

[original idea]

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We propose a connection for the Minkowski’s invariant proper time and one of the Bell states.

https://doi.org/10.31219/osf.io/xc4ys

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 59, 2019 [CG]

The logic of entanglement in gravity

[microresearch]

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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]

Hilbert-style proof Calculus for Propositional Logic in ABC notation

[microreview]

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All nine axioms and a single inference rule of logic (Modus Ponens) within the Hilbert axiomatic system are presented using capital letters (ABC) in order to familiarize the beginner student in hers/his first contact with the topic.

https://doi.org/10.31219/osf.io/jd3gp

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 57, 2019 [CE]

Building a Solutions Manual as a Pedagogical Tool

[pedagogical]

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This is a theoretical proposal built upon some teaching and learning methodologies, and written as an Idea Report.

https://doi.org/10.31219/osf.io/7jzgx

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 56, 2019 [CD]

Peer Reviewer = Co-Author (in the OJMP)

[original insight]

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In order to value the peer-reviewing process, the Open Journal of Mathematics and Physics (OJMP) is publicly announcing in this article that peer reviewers are invited to co-author a paper, as a gold rule, as long as (s)he gives one single contribution to improve the manuscript. This is done in order to foster Open Science and Citizen Science.

https://doi.org/10.31219/osf.io/xv6kb

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 55, 2019 [CC]

Simple Guidelines for Authors: Open Journal of Mathematics and Physics

[original idea]

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Simple guidelines are presented for authors willing to publish their original work in the Open Journal of Mathematics and Physics (OJMP).

https://doi.org/10.31219/osf.io/fk836

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 54, 2019 [CB]

The Incorrectness Lemma

[original idea]

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We address two questions. Is there an Incorrectness Lemma? Is this system complete?

https://doi.org/10.31219/osf.io/f8p7k

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 53, 2019 [CA]

A pedagogical approach to convert “if and only if” to “if then”

[microreview]

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We show, using the equivalence of some formulas, that (A iff B) ~ ((A v B) => (A ^ B)).

https://doi.org/10.31219/osf.io/xhzc9

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 52, 2019 [BZ]

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

[microresearch]

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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

[microresearch]

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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]

Microarticles

[original idea]

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Microarticles are short versions of scientific articles without the need to add an introduction and context. Its most important feature is that it can be updated even after its publication. We believe this will foster the Open Science culture, attracting new collaborators in order to improve the article significantly.

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

Open Collaboration

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Op. J. Math. Phys.
Volume 1, Article 49, 2019 [BW]

A pedagogical approach to convert left into right-hand limit

[original insight]

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The title of this microarticle is self explanatory. One example is included.

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

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 48, 2019 [BV]

Pauli‚Äôs exclusion principle during gravitational collapse

[original insight]

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We propose a discussion of Pauli’s Principle of Exclusion during the gravitational collapse of a star in terms of its temperature.

https://doi.org/10.31219/osf.io/m5wz7

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 47, 2019 [BU]