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Methods for Calculating Empires in Quasicrystals
Crystals, 2017 This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique ...
Fang Fang, Dugan Hammock, Klee Irwin
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Quantum Gravity phenomenology [PDF]
Physics World, 2003 9 pages, LaTex. These notes were prepared while working on an invited contribution to the November 2003 issue of Physics World, which focused on quantum gravity. They intend to give a non-technical introduction (accessible to readers from outside quantum gravity) to "Quantum Gravity Phenomenology"
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Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories [PDF]
, 2004 This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity.
Ashtekar A +43 more
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AIP Conference Proceedings, 1998 Review paper written for the electronic journal `Living Reviews'.
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The Unexpected Fractal Signatures in Fibonacci Chains
Fractal and Fractional, 2019 In this paper, a new fractal signature possessing the cardioid shape in the Mandelbrot set is presented in the Fourier space of a Fibonacci chain with two lengths, L and S, where L / S = ϕ . The corresponding pointwise dimension is 1.7.
Fang Fang, Raymond Aschheim, Klee Irwin
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QUANTUM, GRAVITY AND GEOMETRY [PDF]
International Journal of Modern Physics A, 2000 Recently,1–3 it is shown that, the quantum effects of matter are well described by the conformal degree of freedom of the space–time metric. On the other hand, it is a well-known fact that according to Einstein's gravity theory, gravity and geometry are interconnected.
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Quantum Geometry and its Implications for Black Holes [PDF]
, 2006 General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems.
Arnowitt R. +7 more
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Emergence of string-like physics from Lorentz invariance in loop quantum gravity [PDF]
, 2014 We consider a quantum field theory on a spherically symmetric quantum space time described by loop quantum gravity. The spin network description of space time in such a theory leads to equations for the quantum field that are discrete.
Gambini, Rodolfo, Pullin, Jorge
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Quasicrystal Tilings in Three Dimensions and Their Empires
Crystals, 2018 The projection method for constructing quasiperiodic tilings from a higher dimensional lattice provides a useful context for computing a quasicrystal’s vertex configurations, frequencies, and empires (forced tiles).
Dugan Hammock, Fang Fang, Klee Irwin
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Beyond the Standard Model with Six-Dimensional Spinors
Particles, 2023 Six-dimensional spinors with Spin(3,3) symmetry are utilized to efficiently encode three generations of matter. E8(−24) is shown to contain physically relevant subgroups with representations for GUT groups, spacetime symmetries, three generations of the ...
David Chester +2 more
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