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The Casimir effect is a force arising from quantum effects; it shows that QFT allows the energy density in certain regions to be < 0 relative to the vacuum energy. Many physicists therefore argue that such effects might make it possible to stabilize a traversable wormhole.https://twitter.com/usmankayaniphd/status/1184642301714423808 …
I feel like this is a misleading way to present this .. the parallel plate Casimir effect corresponds to ζ(-1) And the replacement rule comes from renormalization of the vacuum energy Wormholes??https://twitter.com/inertialobservr/status/1140728154366988288?s=21 …
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As for wormholes, many physicists such as Hawking, Thorne and others have suggested that such effects can be used to stabilize a wormhole. In reality, for a variety of reasons - it may not be possible to do. I like to mix in a bit of "sci-fi". https://arxiv.org/pdf/1405.1283.pdf …
What you are referring to is the Casimir effect in one dimension: https://en.wikiversity.org/wiki/Quantum_mechanics/Casimir_effect_in_one_dimension … This corresponds to ζ(-1). But in three dimensions; https://en.wikipedia.org/wiki/Casimir_effect#Derivation_of_Casimir_effect_assuming_zeta-regularization … It indeed involves ζ(-3). The method you have presented is a more concrete way of replacement with vacuum energy
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