Quantum Trans-Planckian Physics inside Black Holes and its Spectrum
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| Format: | Preprint |
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2024
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| _version_ | 1866916197495209984 |
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| author | Sanchez, Norma G. |
| author_facet | Sanchez, Norma G. |
| contents | We provide a quantum unifying picture for black holes of all masses and their main properties covering classical, semiclassical, Planckian and trans-Planckian gravity domains: Space-time, size, mass, vacuum ("zero point") energy, temperature, partition function, density of states and entropy. Novel results of this paper are: Black hole {\bf interiors} are always {\bf quantum}, trans-Planckian and of constant curvature: This is so for {\it all} black holes, including the most macroscopic and astrophysical ones. The black hole interior trans-Planckian vacuum is similar to the earliest cosmological vacuum which classical gravity dual is the low energy gravity vaccum: today dark energy. There is {\it no} singularity boundary at $r = 0$, not at any other place: The quantum space-time is
{\bf totally regular}. The {\it quantum} Penrose diagram of the Schwarschild-Kruskal black hole is displayed. The complete black hole {\it instanton} (imaginary time) covers the known classical Gibbons-Hawking instanton plus a {\it new} central highly dense {\it quantum core} of Planck length radius and {\it constant curvature}. The complete partition function, entropy, temperature, decay rate, discrete levels and density of states {\it all} include the trans-Planckian domaine. The semiclassical black hole entropy (the Bekenstein-Hawking entropy)$ (\sqrt{n})^2$ "interpolates" between the quantum point particle (QFT) entropy $(n)$ and the quantum string entropy $\sqrt{n}$, while the quantum trans-Planckian entropy is $1/(\sqrt{n})^2$. Black hole evaporation ends as {\it a pure (non mixed)} quantum state of particles, gravitons and radiation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_05077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Trans-Planckian Physics inside Black Holes and its Spectrum Sanchez, Norma G. High Energy Physics - Theory We provide a quantum unifying picture for black holes of all masses and their main properties covering classical, semiclassical, Planckian and trans-Planckian gravity domains: Space-time, size, mass, vacuum ("zero point") energy, temperature, partition function, density of states and entropy. Novel results of this paper are: Black hole {\bf interiors} are always {\bf quantum}, trans-Planckian and of constant curvature: This is so for {\it all} black holes, including the most macroscopic and astrophysical ones. The black hole interior trans-Planckian vacuum is similar to the earliest cosmological vacuum which classical gravity dual is the low energy gravity vaccum: today dark energy. There is {\it no} singularity boundary at $r = 0$, not at any other place: The quantum space-time is {\bf totally regular}. The {\it quantum} Penrose diagram of the Schwarschild-Kruskal black hole is displayed. The complete black hole {\it instanton} (imaginary time) covers the known classical Gibbons-Hawking instanton plus a {\it new} central highly dense {\it quantum core} of Planck length radius and {\it constant curvature}. The complete partition function, entropy, temperature, decay rate, discrete levels and density of states {\it all} include the trans-Planckian domaine. The semiclassical black hole entropy (the Bekenstein-Hawking entropy)$ (\sqrt{n})^2$ "interpolates" between the quantum point particle (QFT) entropy $(n)$ and the quantum string entropy $\sqrt{n}$, while the quantum trans-Planckian entropy is $1/(\sqrt{n})^2$. Black hole evaporation ends as {\it a pure (non mixed)} quantum state of particles, gravitons and radiation. |
| title | Quantum Trans-Planckian Physics inside Black Holes and its Spectrum |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.05077 |