Holography from quantum cosmology

Abstract

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to the closed Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological model. We show that the phase space average for the surface of the apparent horizon is quantized in units of the Planck's surface, and that the total entropy of the universe is also quantized. Taking into account these two concepts, it is shown that 't Hooft conjecture on the cosmological holographic principle (CHP) in radiation and dust dominated quantum universes is satisfied as a manifestation of quantization. This suggests that the entire universe (not only inside the apparent horizon) can be seen as a two-dimensional information structure encoded on the apparent horizon.

7 pages, 1 figure, to appear in Phys. Rev. D

References in corpus (18)

• The World as a Hologram
• Operads and Motives in Deformation Quantization
• Cosmic Holography
• Features of Time-independent Wigner Functions
• Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space
• Holography, Cosmology and the Second Law of Thermodynamics
• Pre-bangian origin of our entropy and time arrow
• Deformation quantization in the teaching of quantum mechanics
• Generating All Wigner Functions
• What is the entropy of the universe?
• Wigner quasi-distribution function for charged particles in classical electromagnetic fields
• D-branes and Cosmology
• Holography and the large number hypothesis
• Deformation quantization of cosmological models
• Holographic Principle during Inflation and a Lower Bound on Density Fluctuations
• Dirac observables and boundary proposals in quantum cosmology
• Entropy of gravitationally collapsing matter in FRW universe models
• The Holography Hypothesis and Pre-Big Bang Cosmology

Cited by in corpus (20)

• Tsallis Holographic Dark Energy
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Cosmological perturbations in the Tsallis holographic dark energy scenarios
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Tsallis holographic dark energy for inflation
• Estimated Age of the Universe in Fractional Cosmology
• Note on Tsallis holographic dark energy in Brans-Dicke cosmology
• Modified cosmology from quantum deformed entropy
• Classical Universe emerging from quantum cosmology without horizon and flatness problems
• The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• On the thermodynamics of reconciling quantum and gravity
• Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications
• On the Hydrogen Atom in the Holographic Universe
• Classical Universe Arising from Quantum Cosmology
• Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
• Probing dynamical embeddings in a five-dimensional spacetime in light of DESI BAO
• Bianchi type-III THDE quintessence model with hybrid expansion law