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Singular instantons and creation of open universes

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Singular instantons of the type introduced by Hawking and Turok (hep-th/9802030) lead to unacceptable physical consequences and cannot, therefore, be used to describe the creation of open universes.

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On quantum creation of a toroidal universe

gr-qc · 2025-08-12 · accept · novelty 7.0

Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.

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  • On quantum creation of a toroidal universe gr-qc · 2025-08-12 · accept · none · ref 42 · internal anchor

    Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.