AdS/CFT and quantum-corrected brane entropy
Shin'ichi Nojiri, Sergei D. Odintsov
TL;DR
This paper explores how quantum effects in a 5D AdS black hole bulk influence the entropy and cosmological dynamics of a brane universe, linking AdS/CFT correspondence with quantum-corrected cosmological parameters.
Contribution
It demonstrates the emergence of a quantum-induced inflationary brane universe within AdS/CFT, deriving quantum-corrected cosmological quantities and relating entropy bounds to quantum gravity.
Findings
Quantum-induced brane universe occurs in 5D AdS black hole
Quantum-corrected Hubble constant, temperature, and entropy are derived
Similarity between CFT entropy and FRW equations is extended quantum mechanically
Abstract
It is shown that quantum-induced (inflationary) brane Universe occurs in the bulk 5d AdS black hole in accordance with AdS/CFT correspondence. Brane stress tensor is induced by quantum effects of dual CFT and brane crosses the horizon of AdS black hole. Quantum-corrected Hubble constant, Hawking temperature and entropy are found on the brane (and at the horizon). The similarity between CFT entropy at the horizon and FRW equations is extended on the quantum level. This suggests the way to understand cosmological entropy bounds in quantum gravity.
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