In light of the self-simulation hypothesis, a simple form implementation of the principle of efficient language is discussed in a self-referential geometric quasicrystalline state sum model in three dimensions. Emergence is discussed in context of geometric state sum models.
Geometric State Sum Models from Quasicrystals
Marcelo Amaral *
, Fang Fang
, Dugan Hammock
and Klee Irwin
Citation: Amaral, M.; Fang, F.;
Hammock, D.; Irwin, K. Geometric
State Sum Models from Quasicrystals.
Foundations 2021, 1, 155–168.
Academic Editor: Eugene Oks
Received: 9 September 2021
Accepted: 9 October 2021
Published: 13 October 2021
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Quantum Gravity Research, Los Angeles, CA 90290, USA; Fang@QuantumGravityResearch.org (F.F.);
Dugan@QuantumGravityResearch.org (D.H.); Klee@QuantumGravityResearch.org (K.I.)
* Correspondence: Marcelo@QuantumGravityResearch.org
Abstract: In light of the self-simulation hypothesis, a simple form of implementation of the principle
of efficient language is discussed in a self-referential geometric quasicrystalline state sum model in
three dimensions. Emergence is discussed in the context of geometric state sum models.
Keywords: self-simulation hypothesis; principle of efficient language; quasicrystals; empires; game
of life; emergence; state sum models
The self-simulation hypothesis (SSH)  posits that emergence is a core element in the
engine of reality, down to the underlying code—considering spacetime and particles as
secondary or emergent from this code. In 1938, Dirac  addressed the internal structure
of the electron and how it affects the spacetime structure itself. Feynman later evolved this
thinking to point out that a point of spacetime is like a computer, which lead Finkelstein
to propose that reality is a code in action in his 1969 spacetime code paper . Wheeler
later wrote an interesting synthesis of t