Searching for new theorems in M: a pure mathematical programming language
[white paper]
We present a project to be deployed in Python to serve as a powerful auxiliar tool for theorem proving. In the future, it can be turned into a programming language in its own right.
https://doi.org/10.31219/osf.io/6gyq4
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 195, 2020 [HR]
Advanced ceramics: Intrinsic and extrinsic factors
[microreview]
The efficiency of devices based on advanced ceramics is related to the optimization of material properties. In this paper, we discuss the intrinsic and extrinsic factors that influence the properties of advanced ceramics.
https://doi.org/10.31219/osf.io/xt7h6
Open Engineering Collaboration
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Op. J. Math. Phys.
Volume 2, Article 186, 2020 [HH]
Is there a proof for the (non)existence of a formula for prime numbers?
[question]
We discuss about whether it is possible or not to prove or disprove the existence of a formula for the prime numbers.
https://doi.org/10.31219/osf.io/sb7td
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 167, 2020 [GO]
Transdenumerability of the reals
[white paper]
We show that the real numbers are transdenumerable by setting a one to one map with the set of the transfinite ordinals introduced by Cantor.
https://doi.org/10.31219/osf.io/fu7bx
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 156, 2020 [GD]
A unidimensional windmill in the plane with varying pivot points
[white paper]
We show that we can choose a point in the plane such that the resulting windmill process with varying pivot uses each point of the plane infinitely many times.
https://doi.org/10.31219/osf.io/mwkaf
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 148, 2020 [FT]
Generating finitely many circles from one circle using Banach-Tarski decomposition paradox
[microreview]
We prove the Banach-Tarski decomposition paradox applied to a circle.
https://doi.org/10.31219/osf.io/mh5gx
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 142, 2020 [FN]
Call for co-signing a paper: Increasing collaboration, fostering open science, and sharing the Article Processing Charge (APC)
[white paper]
We argue that sharing one’s research with citizens and other scientists is a win-win crowd science strategy.
https://doi.org/10.31219/osf.io/62x8h
Open Collaboration
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Op. J. Math. Phys.
Volume 2, Article 141, 2020 [FM]
Open Science done right
[white paper]
A chain of simultaneous actions to foster open science is proposed.
https://doi.org/10.31219/osf.io/sa28u
Open Collaboration
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Op. J. Math. Phys.
Volume 2, Article 140, 2020 [FL]
A billion dollar idea
[original idea]
A peer to peer open science app for crowd co-authorship is described. It would allow citizens to participate in the main steps of the scientific research.
https://doi.org/10.31219/osf.io/3ny8k
Open Collaboration
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Op. J. Math. Phys.
Volume 2, Article 139, 2020 [FJ]
Roads to the Planck scale
[white paper]
A summary of a few roads exploring the Planck scale is presented. We consider both Newtonian and relativistic systems.
https://doi.org/10.31219/osf.io/2cdwb
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 138, 2020 [FI]
A subgroup has equally many left and right cosets
[microreview]
We prove that a subgroup has the same number of left and right cosets.
https://doi.org/10.31219/osf.io/t4snh
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 137, 2020 [FH]
The multiverse equation: a toy model
[conjecture]
We present a toy model for the multiverse equation built upon a single cosmic variable encompassing information of all universes, all spaces, and all times.
https://doi.org/10.31219/osf.io/dg7b2
Open Physics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 136, 2020 [FG]
The Big Bang Firewall
[original idea]
A model for a cyclic big bang as the result of a giant cosmic firewall is conjectured in this white paper.
https://doi.org/10.31219/osf.io/3tmwx
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 135, 2020 [FF]
Do extra dimensions explain entanglement?
[white paper]
We invite collaborators to co-author this white paper in order to collect scientific evidence connecting extra dimensions and entanglement.
https://doi.org/10.31219/osf.io/uvgaj
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 134, 2020 [FE]
Higher-order acceleration
[question]
Several questions about higher-order accelerations are presented.
https://doi.org/10.31219/osf.io/p3k24
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 133, 2020 [FD]
On the arithmetic of automated theorem proving
[white paper]
We propose a model to assign prime numbers to axioms and theorems, then by comparing equivalent numbers, it results in new equivalent theorems.
https://doi.org/10.31219/osf.io/wbf85
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 132, 2020 [FC]
ISDN: International Standard Database Number (white paper)
[white paper]
We propose a new numeric identifier, dubbed International Standard Database Number (ISDN) to devise a new ecosystem of scientific publications based on databases and curated by specialists.
https://doi.org/10.31219/osf.io/3c6fe
Open Collaboration
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Op. J. Math. Phys.
Volume 2, Article 131, 2020 [FB]
Is it possible to transfer quantum information non-locally?
[original insight]
We discuss whether the quantum superposition of space, warp drive, and entanglement do transfer internal quantum information non-locally. In addition, the extra dimensions are conjectured to explain the aforementioned properties.
https://doi.org/10.31219/osf.io/ksjh9
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 130, 2020 [FA]
Superposition of field oscillations
[microreview]
We present a discussion on the superposition of oscillating fields.
https://doi.org/10.31219/osf.io/fuhd9
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 129, 2020 [EZ]
Non-local oscillating fields in quantum superposition of space
[original insight]
A field in superposition of space can oscillate non-locally.
https://doi.org/10.31219/osf.io/hryus
Open Quantum Collaboration
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Op. J. Math. Phys.
Volume 2, Article 128, 2020 [EY]
