All Papers

2026

Radial Dual Lattice Graphs via Admissible Inversion: Exact Folding Operators for Eisenstein, Hurwitz, and E₈ Lattices — A Clifford-Algebraic Cl(8) Formulation

Nathan O. Schmidt, Klee Irwin, Natasha Urakhchina (2026)
https://doi.org/10.20944/preprints202605.2108.v2

2023

Dynamics of Fricke-Painlevé VI surfaces

Michel Planat, David Chester, Klee Irwin (2023)
https://doi.org/10.20944/preprints202312.0114.v1

All Hurwitz Algebras from 3D Geometric Algebras

Daniele Corradetti, Richard Clawson, Klee Irwin (2023)
https://doi.org/10.48550/arXiv.2311.02269

Jordan algebras over icosahedral cut-and-project quasicrystals

Daniele Corradetti, David Chester, Raymond Aschheim, Klee Irwin (2023)
https://doi.org/10.48550/arXiv.2303.12219

Dixon-Rosenfeld lines and the Standard Model

David Chester, Alessio Marrani, Daniele Corradetti, Raymond Aschheim and Klee Irwin (2023)
doi.org/10.1140/epjc/s10052-023-12006-8

Quasicrystalline Spin Foam with Matter: Definitions and Examples

Marcelo Amaral, Richard Clawson, Klee Irwin (2023)
arXiv:2306.01964

Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density

David Chester, Xerxes D. Arsiwalla, Louis Kauffman, Michel Planat, Klee Irwin (2023)
arXiv:2305.08864

Three Fibonacci-chain aperiodic algebras

Raymond Aschheim, David Chester, Daniele Corradetti, Klee Irwin (2023)
Quaestiones Mathematicae, DOI: 10.2989/16073606.2023.2178984

Monstrous M-theory

David Chester, Alessio Marrani, Michael Rios (2023)
arXiv:2008.06742

Beyond the Standard Model with Six-Dimensional Spinors

David Chester, Alessio Marrani, Michael Rios (2023)
Particles 2023, 6, 144-172

SL(2, C) Scheme Processing of Singularities in Quantum Computing and Genetics

Michel Planat, Marcelo M. Amaral, David Chester, Klee Irwin (2023)
Axioms 2023, 12(3), 233

2022

On the Operator Origins of Classical and Quantum Wave Functions

Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman (2022)
arXiv:2211.01838

Octonionic Planes and Real Forms of G 2 , F 4 and E 6

Daniele Corradetti, Alessio Marrani, David Chester and Raymond Aschheim (2022)
doi:10.7546/giq-23-2022-39-57

Algebraic Morphology of DNA–RNA Transcription and Regulation

Michel Planat, Marcelo M. Amaral, Klee Irwin (2022)
Symmetry 2023, 15(3), 770

A magic approach to octonionic Rosenfeld spaces

Alessio Marrani, Daniele Corradetti, David Chester, Raymond Aschheim, Klee Irwin (2022)
ResearchGate – A magic approach to octonionic Rosenfeld spaces.

Fricke Topological Qubits

Michel Planat, Marcelo Amaral, David Chester, Klee Irwin (2022)
Quantum Reports 2022, 4(4), 523-532

DNA Sequence and Structure under the Prism of Group Theory and Algebraic Surfaces

Michel Planat, Marcelo Amaral, Fang Fang, David Chester, Raymond Aschheim, Klee Irwin (2022)
Symmetry 2022, 14(9), 1780

Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing

Marcelo Amaral, Fang Fang, David Chester, Klee Irwin (2022)
Symmetry 2022, 14(9), 1780

Conjugation Matters Bioctonionic Veronese Vectors and Cayley-Rosenfeld Planes

Daniele Corradetti, Alessio Marrani, David Chester and Ray Aschheim (2022)
Word Scientific 10.1142 S0219887822501420

Character Varieties and Algebraic Surfaces for the Topology of Quantum Computing

Michel Planat, Marcelo Amaral, Fang Fang, David Chester, Raymond Aschheim, Klee Irwin (2022)
Int. J. Mol. Sci. 2022, 23(21), 13290

SYNTHESIS OF THE Ti-Zr-Ni ALLOYS BY THE “HYDRIDE CYCLE” METHOD

Oleksii Dmytrenko, Igor Kolodiy, T. Yanko, V M Borysenko, Klee Irwin, R L Vasilenko (2022)
Problems of Atomic Science and Technology. №1. 111-121. 10.46813/2022-137-111.

2021

On the Emergence of Spacetime and Matter from Model Sets

Marcelo Amaral, Fang Fang, Raymond Aschheim, Klee Irwin (2021)
Preprints 2021, 2021110359 (doi: 10.20944/preprints202111.0359.v2)

Group Theory of Syntactical Freedom in DNA Transcription and Genome Decoding

Michel Planat, Marcelo Amaral, Fang Fang, David Chester, Raymond Aschheim, Klee Irwin (2021)
Curr. Issues Mol. Biol. 2022, 44(4), 1417-1433

Warm Dark Matter from Higher-Dimensional Gauge Theories

Sinziana Paduroiu, Michael Rios, Alessio Marrani, David Chester (2021)
Universe 2021, 7(12), 462

Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Fang Fang, Klee Irwin (2021)
Sci 2021, 3(4), 39

The Curled Up Dimension in Quasicrystals

Fang Fang, Richard Clawson, Klee Irwin (2021)
Crystals 2021, 11(10), 12386

Quantum Information in the Protein Codes, 3-manifolds and the Kummer Surface

Michel Planat, Raymond Aschheim, Marcelo Amaral, Fang Fang, Klee Irwin (2021)
Symmetry 2021, 13(7), 1146

Geometric State Sum Models from Quasicrystals

Marcelo Amaral, Fang Fang, Dugan Hammock, Klee Irwin (2021)
Foundations 2021, 1(2), 155-168

Finite Groups for the Kummer Surface: the Genetic Code and a Quantum Gravity Analogy

Michel Planat, David Chester, Raymond Aschheim, Marcelo Amaral, Fang Fang, Klee Irwin (2021)
Quantum Reports 2021, 3(1), 68-79

2020

Space, Matter and Interactions in a Quantum Early Universe. Part I : Kac-Moody and Borcherds Algebras

Piero Truini, Alessio Marrani, Michael Rios, Klee Irwin (2020)
Symmetry 2021, 13(12), 2342

Space, Matter and Interactions in a Quantum Early Universe. Part II : Superalgebras and Vertex Algebras

Piero Truini, Alessio Marrani, Michael Rios, Klee Irwin (2020)
Symmetry 2021, 13(12), 2289

Exceptional super Yang-Mills in 27 + 3 and worldvolume M-theory

Michael Rios, Alessio Marrani, David Chester (2020)
Physics Letters B

Complete Quantum Information in the DNA Genetic Code

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Fang Fang, Klee Irwin (2020)
Symmetry 2020, 12(12), 10.3390

Informationally complete characters for quark and lepton mixings

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Klee Irwin (2020)
Symmetry 2020, 12(6), 1000

Born’s Reciprocal Relativity theory, curved phase space, Finsler geometry and the cosmological constant

Carlos Castro Perelman (2020)
Annals of Physics, Volume 416

Aspects of aperiodicity and randomness in theoretical physics

Leonardo Ortiz, Marcelo Amaral, Klee Irwin (2020)
ResearchGate

Symmetry transformation in Pd quasicrystals upon heating and hydrogenation

Vladimir Dubinko, Denys Laptiev, Dmitry Terentyev, Sergey Dmitriev, Klee Irwin (2020)
Computational Materials Science, Volume 177

SYNTHESIS OF HYDROGEN STORAGE MATERIALS IN A Ti-Zr-Ni SYSTEM USING THE HYDRIDE CYCLE TECHNOLOGY DURING DEHYDROGENATION BY AN ELECTRON BEAM IN A VACUUM

Oleksii Dmytrenko, V. I. Dubinko, Valeriy Borysenko, Klee Irwin (2020)
Researchgate

Quantum computation and measurements from an exotic space-time R4

Michel Planat, Raymond Aschheim, Marcelo. M. Amaral, Klee Irwin (2020)
Symmetry 2020, 12(5), 736

The Self–Simulation Hypothesis Interpretation of Quantum Mechanics

Klee Irwin, Marcelo Amaral, and David Chester (2020)
Entropy 2020, 22(2), 247

2019

Geometry of exceptional super Yang-Mills theories

David Chester, Alessio Marrani, Michael Rios (2019)
Phys. Rev. D 99, 046004

M-theory from E8

Michael Rios (2019)
AIP Conference Proceedings

Vertex operators for an expanding universe

Piero Truini(2019)
AIP Conference Proceedings

Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras

Piero Truini, Alessio Marrani, Michael Rios (2019)
ResearchGate

Exceptional Periodicity and Magic Star Algebras. I : Foundations

Piero Truini, Alessio Marrani, Michael Rios (2019)
ResearchGate

Empires: The Nonlocal Properties of Quasicrystals

Fang Fang, Sinziana Paduroiu, Dugan Hammock and Klee Irwin (2019)
IntechOpen

Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy

Elias C. Vagenas, Ahmed Farag Ali, Mohammed Hemeda, Hassan Alshal (2019)
ResearchGate

Holographic Code Rate

Noah Bray-Ali, David Chester, Dugan Hammock, Marcelo M. Amaral, Klee Irwin, Michael F. Rios (2019)
ResearchGate

Group geometrical axioms for magic states of quantum computing

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Klee Irwin (2019)
Mathematics 2019, 7(10), 948

Massless charged particles, naked singularity, and GUP in Reissner-Nordström-de Sitter-like spacetime

Elias C. Vagenas, Ahmed Farag Ali and Hassan Alshal (2019)
Physical Review D 99, 084013

GUP and the no-cloning theorem

Elias C. Vagenas, Ahmed Farag Ali and Hassan Alshal (2019)
The European Physics Journal C (2019) 79:276

Quantum Gravity at the Fifth Root of Unity

Marcelo M. Amaral, Raymond Aschheim, Klee Irwin (2019)
Physics Open, 100098

Constructing numbers in quantum gravity: infinions

Raymond Aschheim, Klee Irwin (2019)
Journal of Physics: Conference Series, Volume 1194, Number 1

Quantum computing, Seifert surfaces and singular fibers

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Klee Irwin (2019)
Quantum Reports 2019, 1(1), 12-22

Emergence Theory Conceptual Overview

Klee Irwin (2019)

Assessment of discrete breather in the metallic hydrides

Vladimir Dubinko, Denis Laptev, Dmitry Terentyev, Sergey V. Dmitriev, Klee Irwin (2019)
Computational Materials Science, Volume 158

2018

Non-Local Game of Life in 2D Quasicrystals

Fang Fang, Sinziana Paduroiu, Dugan Hammock, Klee Irwin (2018)
Crystals 2018, 8(11), 416

Quasicrystal Tilings in Three Dimensions and Their Empires

Dugan Hammock, Fang Fang, Klee Irwin (2018)
Crystals 2018, 8(10), 370

On the Poincaré Group at the 5th Root of Unity A code theoretic particle physics model from lower dimensional representations of Lie groups

Marcelo M. Amaral, Klee Irwin (2018)
Researchgate

Quantum Computing with Bianchi Groups

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Klee Irwin (2018)
ReasearchGate

Closing Gaps in Geometrically Frustrated Symmetric Clusters: Local Equivalence between Discrete Curvature and Twist Transformations

Fang Fang, Richard Clawson, Klee Irwin (2018)
Mathematics 2018, 6(6), 89

Universal Quantum Computing and Three-Manifolds

Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Klee Irwin (2017)
Symmetry 2018, 10(12), 773

2017

Methods for Calculating Empires in Quasicrystals

Fang Fang, Dugan Hammock, Klee Irwin (2017)
Crystals 2017, 7(10), 304

Emergence of an aperiodic Dirichlet space from the tetrahedral units of an icosahedral internal space

Amrik Sen, Raymond Aschheim, Klee Irwin (2017)
Mathematics 5 (2), 29

Quantum Walk on a Spin Network and the Golden Ratio as the Fundamental Constant of Nature

Klee Irwin, Fang Fang, Marcelo Amaral, Raymond Aschheim (2017)
ResearchGate
General Relativity 1916-2016/Minkowski Institute 4th International Conference on the Nature and Ontology of Spacetime

The Code Theoretic Axiom: the Third Ontology

Klee Irwin (2017)
World Scientific

On Relativistic Generalization of Perelman’s W-entropy and Thermodynamic Description of Gravitational Fields and Cosmology

Vyacheslav Ruchin, Olivia Vacaru, Sergiu Vacaru (2017)
The European Physics Journal C (2017) 77:184

Generalizations of Schwarzschild and Anti de Sitter Metrics in Clifford Spaces

Carlos Castro Perelmen (2017)
Advances in Applied Clifford Algebras (2017) Volume 27, Issue 3

Toward a Unification of Physics and Number Theory

Klee Irwin (2017)
World Scientific

2016

Heterotic Supergravity with Internal Almost Kähler Configurations and Gauge SO32, or E8 X E8, Instantons

Laurentiu Bubuianu, Klee Irwin, Sergiu I. Vacaru (2016)
IOP Science: Classical and Quantum Gravity, volume 34, number 7

On Supersymmetric Geometric Flows and R2 Inflation From Scale Invariant Supergravity

Subhash Rajpoot, Sergiu Vacaru (2016)
Annals of Physics, volume 384

Cosmological Attractors and Anisotropies in Two Measure Theories Effective EYMH Systems and Off-Diagonal Inflation Models

Subhash Rajpoot, Sergiu Vacaru (2016)
European Physics Journal C (2017) 77:313

Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections

Marcelo Amaral, Raymond Aschheim, Laurentiu Bubuianu, Klee Irwin, Sergiu Vacaru, Daniel Woolridge (2016)
IOP Science: Classical and Quantum Gravity, volume 34, number 18

Catalytic Mechanisms of LENR in Quasicrystals Based on Localized Anharmonic Vibrations and Phasons

Volodymyr Dubinko, Denis Laptev, Klee Irwin (2016)
ResearchGate

Nonholonomic Jet Deformations, Exact Solutions for Modified Ricci Soliton and Einstein Equations

Sergiu Vacaru, Subhash Rajpoot (2016)
International Journal of Geometric Methods in Modern Physics (2017) volume 14, issue 2

Generalized Uncertainty Relations, Curved Phase-Spaces and Quantum Gravity

Carlos Castro Perelman (2016)
Journal of Applied Mathematics and Physics, 2016, volume 4, number 10

Starobinsky Inflation and Dark Energy and Dark Matter Effects From Quasicrystal-Like Spacetime Structures

Raymond Aschheim, Laurenţiu Bubuianu, Fang Fang, Klee Irwin, Vyacheslav Ruchin, Sergiu I. Vacaru (2016)
Annals of Physics, volume 394

An Icosahedral Quasicrystal and E8-Derived Quasicrystals

Fang Fang, Klee Irwin (2016)
ResearchGate

Unexpected Fractal Signatures in Fibonacci Chains

Fang Fang, Raymond Aschheim, Klee Irwin (2016)
Fractal Fract 2019, 3(4), 49

The Search for a Hamiltonian whose Energy Spectrum Coincides with the Riemann Zeta Zeroes

Raymond Aschheim, Carlos Castro Perelman, Klee Irwin (2016)
International Journal of Geometric Methods in Modern Physics

Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity

Sergiu I. Vacaru, Klee Irwin (2016)
The European Physical Journal C (2017) 77:17

2015

On Some Novel Consequences of Clifford Space Relativity Theory

Carlos Castro Perelman (2015)
Advances in Applied Clifford Algebras (2017) volume 27, issue 1

2014

A New Approach to the Hard Problem of Consciousness

Klee Irwin (2014)
ResearchGate

An Icosahedral Quasicrystal as a Packing of Regular Tetrahedra

Fang Fang, Julio Kovacs, Garrett Sadler, Klee Irwin (2014)
ACTA Physica Polonica A (2014) volume 126
/From the Proceedings of the 12th International Congress on Quasicrystals