�ݺ�ߣshows by User: KleeIrwin

�ݺ�ߣshows by User: KleeIrwin / http://www.slideshare.net/images/logo.gif �ݺ�ߣshows by User: KleeIrwin / Mon, 23 Oct 2017 18:37:19 GMT �ݺ�ߣShare feed for �ݺ�ߣshows by User: KleeIrwin Methods for Calculating Empires in Quasicrystals /slideshow/methods-for-calculating-empires-in-quasicrystals/81114267 methodsforcalculatingempiresinquasicrystals10-171023183719
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. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth.]]>
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. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth.]]> Mon, 23 Oct 2017 18:37:19 GMT /slideshow/methods-for-calculating-empires-in-quasicrystals/81114267 KleeIrwin@slideshare.net(KleeIrwin) Methods for Calculating Empires in Quasicrystals KleeIrwin 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. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/methodsforcalculatingempiresinquasicrystals10-171023183719-thumbnail.jpg?width=120&height=120&fit=bounds" /> 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. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth.

Methods for Calculating Empires in Quasicrystals from Klee Irwin

]]> 110 2 https://cdn.slidesharecdn.com/ss_thumbnails/methodsforcalculatingempiresinquasicrystals10-171023183719-thumbnail.jpg?width=120&height=120&fit=bounds document Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures /slideshow/starobinsky-inflation-and-dark-energy-and-dark-matter-effects-from-quasicrystal-like-spacetime-structures/75620545 starobinskyinflationanddarkenergyanddark-08-170503004919
The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravitational and scalar field configurations mimicking quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different from those discovered and studied in solid state physics but described by similar geometric methods. We prove that an inhomogeneous and locally anisotropic gravitational and matter field effective QC mixed continuous and discrete "aether" can be modeled by exact cosmological solutions in MGTs and Einstein gravity. The coefficients of corresponding generic off-diagonal metrics and generalized connections depend (in general) on all spacetime coordinates via generating and integration functions and certain smooth and discrete parameters. Imposing additional nonholonomic constraints, prescribing symmetries for generating functions and solving the boundary conditions for integration functions and constants, we can model various nontrivial torsion QC structures or extract cosmological Levi--Civita configurations with diagonal metrics reproducing de Sitter (inflationary) like and other types homogeneous inflation and acceleration phases. Finally, we speculate how various dark energy and dark matter effects can be modeled by off-diagonal interactions and deformations of a nontrivial QC like gravitational vacuum structure and analogous scalar matter fields. ]]>
The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravitational and scalar field configurations mimicking quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different from those discovered and studied in solid state physics but described by similar geometric methods. We prove that an inhomogeneous and locally anisotropic gravitational and matter field effective QC mixed continuous and discrete "aether" can be modeled by exact cosmological solutions in MGTs and Einstein gravity. The coefficients of corresponding generic off-diagonal metrics and generalized connections depend (in general) on all spacetime coordinates via generating and integration functions and certain smooth and discrete parameters. Imposing additional nonholonomic constraints, prescribing symmetries for generating functions and solving the boundary conditions for integration functions and constants, we can model various nontrivial torsion QC structures or extract cosmological Levi--Civita configurations with diagonal metrics reproducing de Sitter (inflationary) like and other types homogeneous inflation and acceleration phases. Finally, we speculate how various dark energy and dark matter effects can be modeled by off-diagonal interactions and deformations of a nontrivial QC like gravitational vacuum structure and analogous scalar matter fields. ]]> Wed, 03 May 2017 00:49:19 GMT /slideshow/starobinsky-inflation-and-dark-energy-and-dark-matter-effects-from-quasicrystal-like-spacetime-structures/75620545 KleeIrwin@slideshare.net(KleeIrwin) Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures KleeIrwin The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravitational and scalar field configurations mimicking quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different from those discovered and studied in solid state physics but described by similar geometric methods. We prove that an inhomogeneous and locally anisotropic gravitational and matter field effective QC mixed continuous and discrete "aether" can be modeled by exact cosmological solutions in MGTs and Einstein gravity. The coefficients of corresponding generic off-diagonal metrics and generalized connections depend (in general) on all spacetime coordinates via generating and integration functions and certain smooth and discrete parameters. Imposing additional nonholonomic constraints, prescribing symmetries for generating functions and solving the boundary conditions for integration functions and constants, we can model various nontrivial torsion QC structures or extract cosmological Levi--Civita configurations with diagonal metrics reproducing de Sitter (inflationary) like and other types homogeneous inflation and acceleration phases. Finally, we speculate how various dark energy and dark matter effects can be modeled by off-diagonal interactions and deformations of a nontrivial QC like gravitational vacuum structure and analogous scalar matter fields. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/starobinskyinflationanddarkenergyanddark-08-170503004919-thumbnail.jpg?width=120&height=120&fit=bounds" /> The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravitational and scalar field configurations mimicking quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different from those discovered and studied in solid state physics but described by similar geometric methods. We prove that an inhomogeneous and locally anisotropic gravitational and matter field effective QC mixed continuous and discrete "aether" can be modeled by exact cosmological solutions in MGTs and Einstein gravity. The coefficients of corresponding generic off-diagonal metrics and generalized connections depend (in general) on all spacetime coordinates via generating and integration functions and certain smooth and discrete parameters. Imposing additional nonholonomic constraints, prescribing symmetries for generating functions and solving the boundary conditions for integration functions and constants, we can model various nontrivial torsion QC structures or extract cosmological Levi--Civita configurations with diagonal metrics reproducing de Sitter (inflationary) like and other types homogeneous inflation and acceleration phases. Finally, we speculate how various dark energy and dark matter effects can be modeled by off-diagonal interactions and deformations of a nontrivial QC like gravitational vacuum structure and analogous scalar matter fields.

Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures from Klee Irwin

]]> 250 4 https://cdn.slidesharecdn.com/ss_thumbnails/starobinskyinflationanddarkenergyanddark-08-170503004919-thumbnail.jpg?width=120&height=120&fit=bounds document Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 The unexpected fractal signatures in fibonacci chains 10.06.16 - final - ff /slideshow/the-unexpected-fractal-signatures-in-fibonacci-chains-100616-final-ff/67033087 theunexpectedfractalsignaturesinfibonaccichains-10-161011223250
Quasicrystals are fractal because they are scale invariant and self similar. In this paper, a new cycloidal 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 = {\phi}. The corresponding pointwise dimension is 0.7. Various variations such as truncation from the head or tail, scrambling the orders of the sequence, changeing the ratio of the L and S, are done on the Fibonacci chain. The resulting patterns in the Fourier space show that that the fractal signature is very sensitive to the change in the Fibonacci order but not to the L/S ratio.]]>
Quasicrystals are fractal because they are scale invariant and self similar. In this paper, a new cycloidal 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 = {\phi}. The corresponding pointwise dimension is 0.7. Various variations such as truncation from the head or tail, scrambling the orders of the sequence, changeing the ratio of the L and S, are done on the Fibonacci chain. The resulting patterns in the Fourier space show that that the fractal signature is very sensitive to the change in the Fibonacci order but not to the L/S ratio.]]> Tue, 11 Oct 2016 22:32:49 GMT /slideshow/the-unexpected-fractal-signatures-in-fibonacci-chains-100616-final-ff/67033087 KleeIrwin@slideshare.net(KleeIrwin) The unexpected fractal signatures in fibonacci chains 10.06.16 - final - ff KleeIrwin Quasicrystals are fractal because they are scale invariant and self similar. In this paper, a new cycloidal 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 = {\phi}. The corresponding pointwise dimension is 0.7. Various variations such as truncation from the head or tail, scrambling the orders of the sequence, changeing the ratio of the L and S, are done on the Fibonacci chain. The resulting patterns in the Fourier space show that that the fractal signature is very sensitive to the change in the Fibonacci order but not to the L/S ratio. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/theunexpectedfractalsignaturesinfibonaccichains-10-161011223250-thumbnail.jpg?width=120&height=120&fit=bounds" /> Quasicrystals are fractal because they are scale invariant and self similar. In this paper, a new cycloidal 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 = {\phi}. The corresponding pointwise dimension is 0.7. Various variations such as truncation from the head or tail, scrambling the orders of the sequence, changeing the ratio of the L and S, are done on the Fibonacci chain. The resulting patterns in the Fourier space show that that the fractal signature is very sensitive to the change in the Fibonacci order but not to the L/S ratio.

The unexpected fractal signatures in fibonacci chains 10.06.16 - final - ff from Klee Irwin

]]> 142 5 https://cdn.slidesharecdn.com/ss_thumbnails/theunexpectedfractalsignaturesinfibonaccichains-10-161011223250-thumbnail.jpg?width=120&height=120&fit=bounds document Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 A New Approach to the Hard Problem by Klee Irwin /slideshow/a-new-approach-to-the-hard-problem-by-klee-irwin/64674871 tsc2014poster3-160803214348
Toward a Science of Consciousness presentation 2014]]>
Toward a Science of Consciousness presentation 2014]]> Wed, 03 Aug 2016 21:43:48 GMT /slideshow/a-new-approach-to-the-hard-problem-by-klee-irwin/64674871 KleeIrwin@slideshare.net(KleeIrwin) A New Approach to the Hard Problem by Klee Irwin KleeIrwin Toward a Science of Consciousness presentation 2014 <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/tsc2014poster3-160803214348-thumbnail.jpg?width=120&height=120&fit=bounds" /> Toward a Science of Consciousness presentation 2014

A New Approach to the Hard Problem by Klee Irwin from Klee Irwin

]]> 261 5 https://cdn.slidesharecdn.com/ss_thumbnails/tsc2014poster3-160803214348-thumbnail.jpg?width=120&height=120&fit=bounds presentation Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 Quantum Walk on Spin Networks by Marcelo Amaral, Raymond Aschheim and Klee Irwin /slideshow/quantum-walk-on-spin-networks-by-marcelo-amaral-raymond-aschheim-and-klee-irwin/64674734 qwsnconference1-160803213733
Presentation from the 4th International Conference on the Nature and Ontology of Spacetime May 31, 2016]]>
Presentation from the 4th International Conference on the Nature and Ontology of Spacetime May 31, 2016]]> Wed, 03 Aug 2016 21:37:33 GMT /slideshow/quantum-walk-on-spin-networks-by-marcelo-amaral-raymond-aschheim-and-klee-irwin/64674734 KleeIrwin@slideshare.net(KleeIrwin) Quantum Walk on Spin Networks by Marcelo Amaral, Raymond Aschheim and Klee Irwin KleeIrwin Presentation from the 4th International Conference on the Nature and Ontology of Spacetime May 31, 2016 <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/qwsnconference1-160803213733-thumbnail.jpg?width=120&height=120&fit=bounds" /> Presentation from the 4th International Conference on the Nature and Ontology of Spacetime May 31, 2016

Quantum Walk on Spin Networks by Marcelo Amaral, Raymond Aschheim and Klee Irwin from Klee Irwin

]]> 167 4 https://cdn.slidesharecdn.com/ss_thumbnails/qwsnconference1-160803213733-thumbnail.jpg?width=120&height=120&fit=bounds presentation Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 A Chiral Icosohedral QC and it's mapping to an E8 QC by Klee Irwin and Fang Fang /KleeIrwin/a-chiral-icosohedral-qc-and-its-mapping-to-an-e8-qc-by-klee-irwin-and-fang-fang aperiodic2015-160803213455
Aperiodic 2015 conference poster presented by Klee Irwin and Fang Fang.]]>
Aperiodic 2015 conference poster presented by Klee Irwin and Fang Fang.]]> Wed, 03 Aug 2016 21:34:55 GMT /KleeIrwin/a-chiral-icosohedral-qc-and-its-mapping-to-an-e8-qc-by-klee-irwin-and-fang-fang KleeIrwin@slideshare.net(KleeIrwin) A Chiral Icosohedral QC and it's mapping to an E8 QC by Klee Irwin and Fang Fang KleeIrwin Aperiodic 2015 conference poster presented by Klee Irwin and Fang Fang. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/aperiodic2015-160803213455-thumbnail.jpg?width=120&height=120&fit=bounds" /> Aperiodic 2015 conference poster presented by Klee Irwin and Fang Fang.

A Chiral Icosohedral QC and it's mapping to an E8 QC by Klee Irwin and Fang Fang from Klee Irwin

]]> 171 5 https://cdn.slidesharecdn.com/ss_thumbnails/aperiodic2015-160803213455-thumbnail.jpg?width=120&height=120&fit=bounds presentation Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 Toward the unification of physics by Klee irwin /slideshow/toward-the-unification-of-physics-by-klee-irwin/64674611 towardtheunificationofphysicskleeirwin-160803213207
An introduction to Emergence Theory talk by Klee Irwin at UC Riverside 2016]]>
An introduction to Emergence Theory talk by Klee Irwin at UC Riverside 2016]]> Wed, 03 Aug 2016 21:32:06 GMT /slideshow/toward-the-unification-of-physics-by-klee-irwin/64674611 KleeIrwin@slideshare.net(KleeIrwin) Toward the unification of physics by Klee irwin KleeIrwin An introduction to Emergence Theory talk by Klee Irwin at UC Riverside 2016 <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/towardtheunificationofphysicskleeirwin-160803213207-thumbnail.jpg?width=120&height=120&fit=bounds" /> An introduction to Emergence Theory talk by Klee Irwin at UC Riverside 2016

Toward the unification of physics by Klee irwin from Klee Irwin

]]> 395 7 https://cdn.slidesharecdn.com/ss_thumbnails/towardtheunificationofphysicskleeirwin-160803213207-thumbnail.jpg?width=120&height=120&fit=bounds presentation Black http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 https://cdn.slidesharecdn.com/profile-photo-KleeIrwin-48x48.jpg?cb=1523458701 Klee Irwin is a researcher, scientist and philanthropist from Southern California. He is the the founder of Los Angeles based Irwin Naturals, a large player in the natural products industry. In 2008, he helped fund the launch of Singularity University, headquartered at NASA Research Park, Moffett Field. In 2012 he joined the Board of Directors of Scanadu Corp. and invested in the endeavors of Moon Express. Klee is a passionate sponsor and supporter of many social and eco-conscious projects such as Dancing Rabbit ecovillage; Women on the land, Creating a conscious community; The microlending film project, helping women help themseves; and many others. Since 2009, Klee has been deeply ... www.kleeirwin.com/ https://cdn.slidesharecdn.com/ss_thumbnails/methodsforcalculatingempiresinquasicrystals10-171023183719-thumbnail.jpg?width=320&height=320&fit=bounds slideshow/methods-for-calculating-empires-in-quasicrystals/81114267 Methods for Calculatin... https://cdn.slidesharecdn.com/ss_thumbnails/starobinskyinflationanddarkenergyanddark-08-170503004919-thumbnail.jpg?width=320&height=320&fit=bounds slideshow/starobinsky-inflation-and-dark-energy-and-dark-matter-effects-from-quasicrystal-like-spacetime-structures/75620545 Starobinsky Inflation ... https://cdn.slidesharecdn.com/ss_thumbnails/theunexpectedfractalsignaturesinfibonaccichains-10-161011223250-thumbnail.jpg?width=320&height=320&fit=bounds slideshow/the-unexpected-fractal-signatures-in-fibonacci-chains-100616-final-ff/67033087 The unexpected fractal...