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Thirty Micrometres: The Plate Separation at Which the Casimir Energy Density Equals the Cosmic Vacuum Density

Year: 2026
Type: article
Abstract: The Casimir effect shows that vacuum energy differences are real and measurable, but its densities are usually quoted at nanometre-to-micrometre separations where they vastly exceed the cosmic vacuum density. This paper inverts the standard parallel-plate formula to find the separation at which the Casimir energy density equals the observed cosmic density of 5.25 x 10^-10 joules per cubic metre. The equality separation is 30.1 micrometres, verified by substitution in the accompanying script. A table from ten nanometres to one millimetre shows the density crossing the cosmic value at that row, and a sensitivity scan shows the crossing moves by less than twenty percent if the cosmic density changes by a factor of two. The calculation uses stated idealisations and reports no measurement.
Language: English
Open Access status: green
OpenAlex ID: W7225784298
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