Statistical mechanics of gravitons in a box and the black hole entropy
This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is p...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Viaggiu, Stefano [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study - Dai, Jiamiao ELSEVIER, 2022, europhysics journal, Amsterdam |
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| Übergeordnetes Werk: |
volume:473 ; year:2017 ; day:1 ; month:05 ; pages:412-422 ; extent:11 |
| Links: |
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| DOI / URN: |
10.1016/j.physa.2017.01.052 |
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ELV020275978 |
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| 520 | |a This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . | ||
| 520 | |a This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . | ||
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10.1016/j.physa.2017.01.052 doi GBVA2017012000006.pica (DE-627)ELV020275978 (ELSEVIER)S0378-4371(17)30051-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Viaggiu, Stefano verfasserin aut Statistical mechanics of gravitons in a box and the black hole entropy 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . Black hole entropy Elsevier Gravitational waves Elsevier Statistical mechanics Elsevier Gravitons Elsevier Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:412-422 extent:11 https://doi.org/10.1016/j.physa.2017.01.052 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 412-422 11 045F 500 |
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10.1016/j.physa.2017.01.052 doi GBVA2017012000006.pica (DE-627)ELV020275978 (ELSEVIER)S0378-4371(17)30051-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Viaggiu, Stefano verfasserin aut Statistical mechanics of gravitons in a box and the black hole entropy 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . Black hole entropy Elsevier Gravitational waves Elsevier Statistical mechanics Elsevier Gravitons Elsevier Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:412-422 extent:11 https://doi.org/10.1016/j.physa.2017.01.052 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 412-422 11 045F 500 |
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10.1016/j.physa.2017.01.052 doi GBVA2017012000006.pica (DE-627)ELV020275978 (ELSEVIER)S0378-4371(17)30051-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Viaggiu, Stefano verfasserin aut Statistical mechanics of gravitons in a box and the black hole entropy 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . Black hole entropy Elsevier Gravitational waves Elsevier Statistical mechanics Elsevier Gravitons Elsevier Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:412-422 extent:11 https://doi.org/10.1016/j.physa.2017.01.052 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 412-422 11 045F 500 |
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10.1016/j.physa.2017.01.052 doi GBVA2017012000006.pica (DE-627)ELV020275978 (ELSEVIER)S0378-4371(17)30051-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Viaggiu, Stefano verfasserin aut Statistical mechanics of gravitons in a box and the black hole entropy 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . Black hole entropy Elsevier Gravitational waves Elsevier Statistical mechanics Elsevier Gravitons Elsevier Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:412-422 extent:11 https://doi.org/10.1016/j.physa.2017.01.052 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 412-422 11 045F 500 |
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10.1016/j.physa.2017.01.052 doi GBVA2017012000006.pica (DE-627)ELV020275978 (ELSEVIER)S0378-4371(17)30051-1 DE-627 ger DE-627 rakwb eng 500 500 DE-600 610 VZ 44.91 bkl Viaggiu, Stefano verfasserin aut Statistical mechanics of gravitons in a box and the black hole entropy 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . Black hole entropy Elsevier Gravitational waves Elsevier Statistical mechanics Elsevier Gravitons Elsevier Enthalten in North Holland Publ. Co Dai, Jiamiao ELSEVIER Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study 2022 europhysics journal Amsterdam (DE-627)ELV00892340X volume:473 year:2017 day:1 month:05 pages:412-422 extent:11 https://doi.org/10.1016/j.physa.2017.01.052 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.91 Psychiatrie Psychopathologie VZ AR 473 2017 1 0501 412-422 11 045F 500 |
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Statistical mechanics of gravitons in a box and the black hole entropy |
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Statistical mechanics of gravitons in a box and the black hole entropy |
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Viaggiu, Stefano |
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Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study |
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Effects of psychiatric disorders on ultrasound measurements and adverse perinatal outcomes in Chinese pregnant women: A ten-year retrospective cohort study |
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10.1016/j.physa.2017.01.052 |
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statistical mechanics of gravitons in a box and the black hole entropy |
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Statistical mechanics of gravitons in a box and the black hole entropy |
| abstract |
This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . |
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This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . |
| abstract_unstemmed |
This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by ‘trapping’ a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index ℓ similar to the harmonic oscillator one is obtained and a statistical study is performed. The mean energy 〈 E 〉 results as a sum of two discrete Planck distributions with different dependent frequencies. As an important application, we derive the semiclassical Bekenstein–Hawking entropy formula for a static Schwarzschild black hole by only requiring that the black hole internal energy U is provided by its ADM rest energy, without invoking particular quantum gravity theories. This seriously suggests that the interior of a black hole can be composed of trapped gravitons at a thermodynamical temperature proportional by a factor ≃ 2 to the horizon temperature T h . |
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Statistical mechanics of gravitons in a box and the black hole entropy |
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https://doi.org/10.1016/j.physa.2017.01.052 |
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