Vacuum Energy from Icosahedral Coherence

University of Southampton

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Abstract

We derive the vacuum energy density of the universe from icosahedral geometry and the Planck length, with no free parameters. In a companion paper (Keeble 2026a), we established that the Casimir effect encodes dimensional mode counting through ζ(−1) = −1/D(D+1), and that its natural scale is electromagnetic rather than gravitational. Here we identify the cosmological Casimir scale: the maximum coherent icosahedral domain in flat 3-space, limited by five-fold frustration to V^(V−1) = 12^11 lattice units, where V = 12 is the icosahedral vertex count. Combined with the lattice spacing e^(V+E) l_P = e^42 l_P matched to the strong force anchor (Keeble 2026c), this gives a coherence length of 20.9 μm and a…

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Topics & keywords

Keywords
  • Casimir effect
  • Icosahedral symmetry
  • Vacuum energy
  • Coherence (philosophical gambling strategy)
  • Quasicrystal
  • Vertex (graph theory)
  • Lattice (music)
  • Length scale
UN Sustainable Development Goals
  • Affordable and clean energy
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