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Spacetime Quasicrystals

a day ago
  • #theoretical physics
  • #spacetime
  • #quasicrystals
  • Self-similar quasicrystals exhibit long-range order, quasiperiodicity, non-crystallographic symmetry, and discrete scale invariance.
  • The paper generalizes quasicrystals from Euclidean space to Minkowski spacetime, constructing Lorentzian quasicrystals.
  • Novel features of Lorentzian quasicrystals compared to Euclidean ones are highlighted.
  • Speculative ideas suggest our (3+1)D universe could be embedded in a (9+1)D torus, T^{9,1}.
  • This embedding might explain the seesaw relationship between Planck, vacuum energy, and electroweak scales.