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arXiv:gr-qc/9801112 · General Relativity and Gravitation

The Causal Interpretation of Conformally Coupled Scalar Field Quantum Cosmology

J. Acacio de Barros, Nelson Pinto-Neto, M. A. Sagioro-Leal

Published Jan 1, 2000• 6 citations
arXivHTMLPDF
DOI
10.1023/a:1001892315360

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•Mar 5, 2020•0 citations
We investigate the interplay between genuine entanglement harvesting and communication mediated correlations for local particle detectors in expanding cosmological spacetimes. Focusing on a conformally coupled scalar field in de Sitter spacetime, we analyze how spacetime expansion induces interference between these two sources of entanglement when the detectors are in causal contact. We compare two physically distinct detector models: detectors whose spatial profile expands with the Universe, and detectors whose proper size remains fixed despite cosmological expansion. We find that the lack of time-reversal symmetry in cosmological settings generically leads to constructive or destructive interference between communication mediated correlations and harvested field correlations, dramatically affecting the entanglement that detectors can acquire. In particular, rapid expansion can suppress entanglement entirely for expanding detectors through destructive interference, even when both communication and field correlations are individually large, whereas detectors that maintain a fixed proper size remain capable of acquiring significant entanglement. Our results show that cosmological expansion qualitatively reshapes the balance between communication and harvesting, and that the detector internal cohesion (whether it expands with the Universe or not) plays a crucial role in determining whether detectors' entanglement can survive in rapidly expanding universes.
In this work, we both review and apply the formalism of Bohm-de Broglie interpretation of quantum mechanics to study two cosmological theories which modify Einstein’s general relativity through the introduction of a scalar field: the minimal and the non-minimal derivative couplings. We address some issues related to the quantization process in those theories, namely the ordering ambiguity and the problem of the quantization of Hamiltonians with non-integer powers in the momenta, in which case we apply a fractional derivative technique. We discuss how the Bohm-de Broglie interpretation provides us physical criteria to analyse the obtained results, specially with respect to the search for nonsingular solutions. With the help of those criteria, we discuss how the applied techniques are able to provide answers to the singularity problem, through bounces and cyclic universes.