Quantum weak measurements and cosmology

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The indeterminism of quantum mechanics generally permits the independent specification of both an initial and a final condition on the state. Quantum preand post-selection of states opens up a new, experimentally testable, sector of quantum mechanics, when combined with statistical averages of identical weak measurements. In this paper I apply the theory of weak quantum measurements combined with pre- and post-selection to cosmology. Here, pre-selection means specifying the wave function of the universe or, in a popular semi-classical approximation, the initial quantum state of a subset of quantum fields propagating in a classical background spacetime. The novel feature is post-selection: the additional specification of a condition on the quantum state in the far future. I discuss “natural” final conditions, and show how they may lead to potentially large and observable effects at the present cosmological epoch. I also discuss how pre- and post-selected quantum fields couple to gravity via the DeWitt-Schwinger effective action prescription, in contrast to the expectation value of the stress-energy-momentum tensor, resolving a vigorous debate from the 1970s. The paper thus provides a framework for computing large-scale cosmological effects arising from this new sector of quantum mechanics. A simple experimental test is proposed. [Editors note: for a video of the talk given by Prof. Davies at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-13.]

Original languageEnglish (US)
Title of host publicationQuantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy
PublisherSpringer-Verlag Milan
Pages101-112
Number of pages12
ISBN (Print)9788847052178, 9788847052161
DOIs
StatePublished - Jan 1 2014

Fingerprint

cosmology
quantum mechanics
specifications
sectors
scale effect
set theory
universe
kinetic energy
time measurement
wave functions
tensors
gravitation
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Davies, P. (2014). Quantum weak measurements and cosmology. In Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy (pp. 101-112). Springer-Verlag Milan. https://doi.org/10.1007/978-88-470-5217-8_7

Quantum weak measurements and cosmology. / Davies, Paul.

Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan, 2014. p. 101-112.

Research output: Chapter in Book/Report/Conference proceedingChapter

Davies, P 2014, Quantum weak measurements and cosmology. in Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan, pp. 101-112. https://doi.org/10.1007/978-88-470-5217-8_7
Davies P. Quantum weak measurements and cosmology. In Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan. 2014. p. 101-112 https://doi.org/10.1007/978-88-470-5217-8_7
Davies, Paul. / Quantum weak measurements and cosmology. Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan, 2014. pp. 101-112
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