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Quantum thermodynamics in a static de Sitter space-time and initial state of the universe
- Source :
- European Physical Journal, CONICET Digital (CONICET), Consejo Nacional de Investigaciones Científicas y Técnicas, instacron:CONICET, European Physical Journal C: Particles and Fields, Vol 79, Iss 11, Pp 1-6 (2019)
- Publication Year :
- 2019
- Publisher :
- Springer, 2019.
-
Abstract
- Using Relativistic Quantum Geometry we study back-reaction effects of space-time inside the causal horizon of a static de Sitter metric, in order to make a quantum thermodynamical description of space-time. We found a finite number of discrete energy levels for a scalar field from a polynomial condition of the confluent hypergeometric functions expanded around $r=0$. As in the previous work, we obtain that the uncertainty principle is valid for each energy level on sub-horizon scales of space-time. We found that temperature and entropy are dependent on the number of sub-states on each energy's level and the Bekenstein-Hawking temperature of each energy level is recovered when the number of sub-states of a given level tends to infinity. We propose that the primordial state of the universe could be described by a de Sitter metric with Planck energy $E_p=m_p\,c^2$, and a B-H temperature: $T_{BH}=\left(\frac{\hbar\,c}{2\pi\,l_p\,K_B}\right)$.<br />Comment: Version accepted in EPJC. arXiv admin note: text overlap with arXiv:1904.11599
- Subjects :
- High Energy Physics - Theory
Uncertainty principle
QUANTUM THERMODYNAMICS
Physics and Astronomy (miscellaneous)
De Sitter space
Ciencias Físicas
FOS: Physical sciences
lcsh:Astrophysics
General Relativity and Quantum Cosmology (gr-qc)
General Relativity and Quantum Cosmology
purl.org/becyt/ford/1 [https]
symbols.namesake
De Sitter universe
lcsh:QB460-466
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Quantum thermodynamics
Engineering (miscellaneous)
Entropy (arrow of time)
Mathematical Physics
Mathematical physics
Physics
Quantum geometry
Planck energy
Mathematical Physics (math-ph)
purl.org/becyt/ford/1.3 [https]
Astronomía
High Energy Physics - Theory (hep-th)
symbols
lcsh:QC770-798
DE SITTER SPACE-TIME
Scalar field
CIENCIAS NATURALES Y EXACTAS
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- European Physical Journal
- Accession number :
- edsair.doi.dedup.....131445dbf2bb5224fb92d59332af332a