Geometric State Sum Models from Quasicrystals
Abstract
:1. Introduction
2. Geometric Realism
- Ising models
- Lattice gauge theory (LGT):
- Spin foam
3. Kinematics: The 3D Quasicrystal, Empire and Hits
4. Dynamics: Geometric State Sum Model and the PEL
4.1. A New Kind of Game of Life in Quasicrystals
4.2. GSS Observables and Emergence
5. Discussions and Outlook
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviations
SSH | Self-simulation hypothesis |
PEL | Principle of Efficient Language |
3DPT | 3-Dimensional Penrose Tiling quasicrystal |
PEL | Geometrical State Sum (GSS) |
GR | General Relativity |
LQG | Loop Quantum Gravity |
3D | 3-dimensional |
LGT | Lattice Gauge Theory |
VT | Vertex Type |
PS | Possibility Space |
PRW | Possibility Random Walk |
GoL | Game of Life |
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Amaral, M.; Fang, F.; Hammock, D.; Irwin, K. Geometric State Sum Models from Quasicrystals. Foundations 2021, 1, 155-168. https://doi.org/10.3390/foundations1020011
Amaral M, Fang F, Hammock D, Irwin K. Geometric State Sum Models from Quasicrystals. Foundations. 2021; 1(2):155-168. https://doi.org/10.3390/foundations1020011
Chicago/Turabian StyleAmaral, Marcelo, Fang Fang, Dugan Hammock, and Klee Irwin. 2021. "Geometric State Sum Models from Quasicrystals" Foundations 1, no. 2: 155-168. https://doi.org/10.3390/foundations1020011