Numerical analysis demonstrates high negative vacuum energy density in zeolites, indicating potential for advanced material applications.
The Gies-Klingmüller subtracted worldline numerical method [4, 5] is applied to the sphere-in-cylinder Casimir geometry of White, Vera, Han et al. (2021) [2]. With shared loop libraries across the three subtraction terms, the toroidal negative-energy annulus reported in [2] is reproduced under proper two-body subtraction: 1220 of 1220 sampled points in the annulus (R_sph = 1, R_cyl = 4, L = 10, all in arbitrary length units) are negative, and 41 of 41 z-rows have a negative ring minimum. The same topology is then evaluated at molecular scale on a single C₆₀ fullerene encapsulated in a (10,10) single- wall carbon nanotube — the C₆₀@SWCNT peapod first imaged by Smith, Monthioux, and Luzzi (1998) [8]. All 422 of 422 sampled annulus points are negative; the toroidal topol- ogy is preserved at the molecular scale. A Lifshitz screen of 10 zeolite frameworks (LTA, CHA, BEA, MOR, EMT, SOD, RHO, AEI, MFI, FAU) under a single-Drude aluminosilicate dielectric proxy (ω_p = 12 eV, γ = 3 eV) identifies Cu-SSZ-13 chabazite (CHA topology) as the highest physically realizable negative vacuum energy density candidate, at |ρ_neg| = 8.67×10⁷ J/m³ (Drude proxy) / 1.10×10⁸ J/m³ (Cu Rakic upper bound). This is approximately 10¹⁰ times the nega- tive energy density of the White 2021 chip (|ρ_neg| ≈ 4.5×10⁻³ J/m³), and is realized in an industrial diesel selective-catalytic-reduction catalyst already produced at million- tonnes-per-annum scale. Sodalite (SOD) ranks first in raw |ρ_neg| but is topologically inaccessible: its 2.8 Å six-ring window admits no guest species without bond breaking. A curved-geometry calibration constant F_curved = 0.21 ± 0.003 is established across d/R ∈ {0.40, 0.67, 0.97}. Static negative Casimir energy density is not directly equivalent to the exotic matter T_μν of the Alcubierre [1] metric; the correspondence is suggestive but not proven, and the present paper does not claim otherwise.
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Bradley John Hart (2026) studied this question.
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