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]

Fractal Space Dimensions

[original idea]

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I propose the discussion of virtual fractal extra dimensions. If they exist, then understanding them would approach the understanding of quantum gravity as well.

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

Open Physics Collaboration

Op. J. Math. Phys.
Volume 1, Article 39, 2019 [BM]

(x+y)/2 coupled logistic map

[microresearch]

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I propose the discussion of one type of coupled logistic map and compare it with the usual logistic map in each iteration.

https://doi.org/10.31219/osf.io/rf6az

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 1, Article 20, 2019 [AT]

Chaotic logistic map, parabola, and gravity

[original idea]

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I am trying to connect gravity with chaos via the parabola in the logistic map.

https://doi.org/10.31219/osf.io/g75we

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 1, Article 19, 2019 [AS]