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Hyperuniformity of Quasicrystals
Erdal C. Oğuz, Joshua E. S. Socolar, Paul J. Steinhardt +1
Hyperuniform systems, which include crystals, quasicrystals and special disordered systems, have attracted considerable recent attention, but rigorous analyses of the hyperuniformi…
Fully stable cosmological solutions with a non-singular classical bounce
Anna Ijjas, Paul J. Steinhardt
We recently showed how it is possible to use a cubic Galileon action to construct classical cosmological solutions that enter a contracting null energy condition (NEC) violating ph…
Self-Similar One-Dimensional Quasilattices
Latham Boyle, Paul J. Steinhardt
We study 1D quasilattices, especially self-similar ones that can be used to generate two-, three- and higher-dimensional quasicrystalline tessellations that have matching rules and…
Coxeter Pairs, Ammann Patterns and Penrose-like Tilings
Latham Boyle, Paul J. Steinhardt
We identify a precise geometric relationship between: (i) certain natural pairs of irreducible reflection groups (``Coxeter pairs"); (ii) self-similar quasicrystalline patterns for…
Classically stable non-singular cosmological bounces
Anna Ijjas, Paul J. Steinhardt
One of the fundamental questions of theoretical cosmology is whether the universe can undergo a non-singular bounce, i.e., smoothly transit from a period of contraction to a period…
NEC violation in mimetic cosmology revisited
Anna Ijjas, Justin Ripley, Paul J. Steinhardt
In the context of Einstein gravity, if the null energy condition (NEC) is satisfied, the energy density in expanding space-times always decreases while in contracting space-times t…