Lyapunov exponents for the Lorentz transformations

[microresearch]

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We calculate the Lyapunov exponents of the complex stretch factor $f^-(z)=(1-z^2)^{-1/2}$ from the Lorentz transformations and of its reciprocal $f^+(z)=(1-z^2)^{+1/2}$ as well.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 239, 2021 [JJ]

The logistics of quantum spacetime

[conjecture]

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We conjecture that quantum superposition is the result of the existence of different orbits in the logistic equation due to quantum interactions in spacetime.

https://doi.org/10.31219/osf.io/s2dnt

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 236, 2021 [JG]

Scientific Autobiography

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I present the references of my scientific publications divided into categories.

https://doi.org/10.31219/osf.io/zdxh3

Matheus Pereira Lobo, PhD

Op. J. Math. Phys.
Volume 3, Article 203, 2021 [ML]

Roads to the Planck scale

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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 Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 138, 2020 [FI]

The multiverse equation: a toy model

[conjecture]

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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

Op. J. Math. Phys.
Volume 2, Article 136, 2020 [FG]

The Big Bang Firewall

[original idea]

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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 Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 135, 2020 [FF]

Do extra dimensions explain entanglement?

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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 Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 134, 2020 [FE]

Higher-order acceleration

[question]

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Several questions about higher-order accelerations are presented.

https://doi.org/10.31219/osf.io/p3k24

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 133, 2020 [FD]

Is it possible to transfer quantum information non-locally?

[original insight]

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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 Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 130, 2020 [FA]

Superposition of field oscillations

[microreview]

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We present a discussion on the superposition of oscillating fields.

https://doi.org/10.31219/osf.io/fuhd9

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 129, 2020 [EZ]

Non-local oscillating fields in quantum superposition of space

[original insight]

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A field in superposition of space can oscillate non-locally.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 128, 2020 [EY]

Entanglement of the Uncertainty Principle

[original insight]

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We propose that position and momentum in the uncertainty principle are quantum entangled states.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 127, 2020 [EX]

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 Mathematics Collaboration

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

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

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 Mathematics Collaboration

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

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 Mathematics Collaboration

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

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 Mathematics Collaboration

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

The singularity of the universe

[microresearch]

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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 Mathematics Collaboration

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

Philosophical questions

[microresearch]

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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]

Electromagnetic mass as a superposition of Planck masses

[microresearch]

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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

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

Fields as quantum entanglement

[original insight]

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Quantum entanglement is a more fundamental resource than quantum fields. It is shown here, heuristically, that it not only creates the field itself, but also guides its very transmission.

https://doi.org/10.31219/osf.io/vtu46

Open Collaboration

Op. J. Math. Phys.
Volume 2, Article 82, 2020 [DE]