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Cited by 13

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Vacuum fluctuations and topological Casimir effect in Friedmann–Robertson–Walker cosmologies with compact dimensions

Saharian, A. A., Mkhitaryan, A. L.·2010·The European Physical Journal C
DOI 10.1140/epjc/s10052-010-1247-0
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  • For a free scalar field of arbitrary mass with non-minimal Rφ^2 coupling, the tunneling condition uniquely specifies the full quantum state.

    “Refs.[28][29][30][31][32] collectively show that for a free scalar field of arbitrary mass, with a non-minimal Rϕ 2 coupling to gravity, the tunneling condition uniquely specifies the full quantum state.”

    From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [31]

    Section 2 (Wightman function; page unavailable) gives the field equation with mass and curvature coupling, but its vacuum-state analysis proceeds for a massless field. It says different mode coefficients give different vacuum states and selects the Bunch–Davies vacuum; it does not say that a tunneling condition uniquely specifies the full quantum state. The same section notes a zero-mode contribution that depends on the choice of quantum state. (LLM, conf=0.85)

    Experimental — accuracy not yet measured

  • In Refs.[31] and [32] it was shown, for a massive non-minimally coupled field in a de Sitter minisuperspace model, that the regularity condition is satisfied in the entire classical range if it is satisfied at any one point in this range.

    “In Refs.[31] and [32] it was shown, for a massive non-minimally coupled field in a de Sitter minisuperspace model, that the regularity condition is satisfied in the entire classical range if it is satisfied at any one point in this range.”

    From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [31]

    The Conclusion (page unavailable) says this paper studies vacuum effects for a massless scalar field in FRW cosmologies with compact dimensions; it does not state the claimed regularity result. Searches for the regularity condition, the entire classical range, and a de Sitter minisuperspace model found no passage addressing that result. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

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Citations

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Research works printed but not linked: 56

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Metadata

Authors
Saharian, A. A., & Mkhitaryan, A. L.
Venue
The European Physical Journal C
Publisher
Springer Science and Business Media LLC
Published
2010-01-29
Volume
66
Issue
1-2
Pages
295-306
ISSN
  • 1434-6044
  • 1434-6052
DOI
10.1140/epjc/s10052-010-1247-0
Cited by
13
References
1
Language
en
Licence
www.springer.com/tdm (tdm)

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