Roads to the Planck scale

[white paper]

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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 Quantum Collaboration

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

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 Quantum Collaboration

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

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 Quantum Collaboration

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

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

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Op. J. Math. Phys.
Volume 2, Article 78, 2020 [DA]

The curvature of space due to one photon is inaccessible

[microresearch]

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We show that the curvature of space due to a single photon with λ > lp is less than the Planck length (lp). Only a photon with precisely λ = lp curves space by Δlg.

https://doi.org/10.31219/osf.io/wru6z

Open Physics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 44, 2019 [BR]

Minimum space length

[original insight]

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We follow some logical principles to conclude there is a minimal length.

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

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 1, Article 18, 2019 [AR]