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]

Time is a discrete dynamical system

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We conjecture that quantum vacuum operates its discrete dynamics in a superposition of a class of iterating functions such that each physical system operates within a distinct function.

https://doi.org/10.31219/osf.io/8f4yg

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 238, 2021 [JI]

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]

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]

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]

A hole in the black hole

[microresearch]

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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 limits of the light-speed limit

[original insight]

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We present two limits of the light-speed limit.

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

Open Physics Collaboration

Op. J. Math. Phys.
Volume 2, Article 76, 2020 [CY]