Virtual extra dimensions in quantum superposition generate spacetime

[conjecture]

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We discuss about the range of the principle of quantum superposition and whether it is applied to both our spacetime and the extra dimensions as well.

https://doi.org/10.31219/osf.io/n9ytd

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 126, 2020 [EW]

Special Edition (OJMP)

[microreview]

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We present an overview of a few articles published in the Special Edition [1] of the Open Journal of Mathematics and Physics [2].

https://doi.org/10.31219/osf.io/96xe2

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 125, 2020 [EV]

Test functions and Distributions (Open Mathematics Knowledge Base)

[knowledge base]

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In this work, we present a list of mathematical results about test functions and distributions theory for future implementation in a digital Open Mathematics Knowledge Base.

https://doi.org/10.31219/osf.io/xne52

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 124, 2020 [EU]

Logical Loop

[microresearch]

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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]

Differential Forms (Open Mathematics Knowledge Base)

[knowledge base]

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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

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Op. J. Math. Phys.
Volume 2, Article 122, 2020 [ES]

Entanglement of Superposition and Superposition of Entanglement

[conjecture]

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We consider that the superposition of space is given by the Bell states and that those states are in superposition themselves.

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

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 121, 2020 [ER]

A semigroup is a rectangular band if and only if it is nowhere commutative

[microreview]

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We prove the proposition addressed in the title of this paper.

https://doi.org/10.31219/osf.io/98khs

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 120, 2020 [EQ]

Using prime numbers for automatic theorem proving

[original idea]

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We apply an analogous setting from Gödel’s numbering system to automatic theorem proving.

https://doi.org/10.31219/osf.io/g7usc

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 119, 2020 [EP]

An element of a finite monoid is right invertible if and only if it is left invertible

[microreview]

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We prove the proposition addressed in the title of this paper.

https://doi.org/10.31219/osf.io/7vm92

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 118, 2020 [EO]

A finite cancellative semigroup is a group

[microreview]

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We prove the proposition addressed in the title of this paper.

https://doi.org/10.31219/osf.io/34vbp

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 117, 2020 [EN]

A right zero semigroup is left-cancellative

[microreview]

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We prove the proposition addressed in the title of this paper.

https://doi.org/10.31219/osf.io/g6snd

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 116, 2020 [EM]

A semigroup with a right zero equal to a right identity is trivial

[microreview]

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We prove the proposition addressed in the title of this paper.

https://doi.org/10.31219/osf.io/zpwb5

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 115, 2020 [EL]

A simple group of order 168 is isomorphic to PGL(2,7)

[question]

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We present a sketch on a problem related to the isomorphism between the simple group of order 168 and the projective general linear group.

https://doi.org/10.31219/osf.io/ydex4

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 114, 2020 [EK]

A simple group of order 60 is isomorphic to a subgroup of S6

[microreview]

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We show that the permutation of six Sylow 5-subgroups by conjugation is a faithful action, so that G is isomorphic to a subgroup of S6.

https://doi.org/10.31219/osf.io/g43yj

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 113, 2020 [EJ]

Non-classical logic and undecidability

[conjecture]

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We elaborate a conjecture by applying the definition of Non-Axiomatic System [1] in Non-Classical Logic.

https://doi.org/10.31219/osf.io/h4f7p

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 112, 2020 [EI]

Spacetime is a quantum computer

[conjecture]

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If spacetime is a quantum computer, then all physical systems are equivalent to quantum computational algorithms.

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

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 111, 2020 [EH]

Universal Knowledge Base

[original insight]

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We present the STR simple rules to build a knowledge base with all scientific knowledge.

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

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 110, 2020 [EG]

Genes are quantum computers

[conjecture]

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A sequence of logical arguments is presented in order to conclude that if biological cells are governed by quantum computational algorithms, then it is indeed possible to (re)program the genes’ states in a quantum computer.

https://doi.org/10.31219/osf.io/a7tbu

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 109, 2020 [EF]

Self-Publishing Journal

[original idea]

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We propose a disruption between the publication of scientific articles and the quality control agency by the development of Self-Publication Journals.

https://doi.org/10.31219/osf.io/782da

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 108, 2020 [EE]

Reinventing Scientific Journals

[microresearch]

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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]

3-cycle commutator

[microreview]

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We show within the maximum number of steps that if only one point is moved by two permutations, the commutator is a 3-cycle.

https://doi.org/10.31219/osf.io/kxnt8

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 106, 2020 [EC]