The undecidable dynamics generate quantum probabilities

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We conjecture a new approach to quantum mechanics that, if confirmed, will explain the wave function from a fundamentally deeper level.

https://doi.org/10.31219/osf.io/hfc82

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 242, 2021 [JM]

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]

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]

The expansion of the universe and the Banach-Tarski paradox

[conjecture]

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The universe is mathematical and it might be expanding due to the Banach-Tarski paradox rules.

https://doi.org/10.31219/osf.io/46edc

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 88, 2020 [DK]

The Warp Drive: search for a pure mathematical approach

[microresearch]

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The purpose of this microarticle is to issue an open invitation in order to collaboratively devise the connection between the warp drive and its corresponding pure mathematical formulation (definitions, theorems, prerequisites). By this approach, I believe one can fully understand the mechanisms underlying this process, and we could finally move toward its application.

https://doi.org/10.31219/osf.io/ht246

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 87, 2020 [DJ]

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]

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]

Electromagnetic gravitational shielding to explain “dark matter”

[conjecture]

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There is only one of two possibilities: (i) either dark matter exists or dark matter does not exist. We consider one single conjecture, valid in both cases. If it doesn’t exist, then huge quantum electromagnetic interactions might account for the galaxy rotation curve. If it exists, then there might be a “dark charge” associated with dark matter. The dark charge would then be governed by an alternative “dark electromagnetic” theory, which can be totally independent or perhaps a generalization of the ordinary electromagnetism. This proposal is highly speculative and it needs both mathematical and experimental further investigation in order to be proved or disproved.

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

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 77, 2020 [CZ]

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]

Superposition as a mathematical mapping between two distinct scales

[original idea]

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A toy model is presented connecting the Planck with the macroscopic scale through a mathematical mapping to explain quantum superposition at a more fundamental level.

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

Open Physics Collaboration

Op. J. Math. Phys.
Volume 1, Article 67, 2019 [CO]