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The Imaginary Universe
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How to cite: Łukaszyk, S. The Imaginary Universe. Preprints 2022, 2022120045. https://doi.org/10.20944/preprints202212.0045.v7 Łukaszyk, S. The Imaginary Universe. Preprints 2022, 2022120045. https://doi.org/10.20944/preprints202212.0045.v7
Abstract
Imaginary dimensions in physics require an imaginary set of base Planck units and some negative parameter $c_n$ corresponding to the speed of light in vacuum $c$. Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene introduce the second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$ as a fundamental constant of nature and this constant introduces these imaginary base Planck units along with this negative parameter $c_n \approx -3.06 \times 10^8~\text{[m/s]}$. Neutron stars and white dwarfs, considered as \emph{objects} emitting perfect black-body radiation, are conjectured to possess energy exceeding their mass-energy equivalence ratios, wherein the imaginary parts of two complex energies inaccessible for direct observation make storing excess of these energies possible. With this assumption, black holes are fundamentally uncharged; charged micro neutron stars and white dwarfs with masses lower than $5.7275 \times 10^{-10}~[\text{kg}]$ cannot be observed; and the radii of white dwarfs' cores are limited to $R_{WD} < 6.7933~G M_{WD}/c^2$, where $M_{WD}$ is a white dwarf mass. This sets the bounds on charged blackbody objects' minimum masses and maximum radii.
Keywords
Planck units; the fine-structure constant; speed of light in vacuum; emergent dimensionality
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Szymon Łukaszyk
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2. Novel conjectures concerning energies, charges, and radii of perfect black-body objects (black holes, neutron stars, white dwarfs).
3. Two forms of complex energies employing in real and imaginary dimensions.