Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Particle of Life: Mathematical Abstraction or Reality?

Michail A. Zak

Published Jan 18, 2014• 3 citations
OpenAlex

Abstract

Preface Information -- Forgotten Variable in Physics Models Starting with Madelung Equation Dynamical Model of L1-Particle Dynamical Model of L2-Particle Dynamical Model of L3-Particle Modeling Common Sense Decisions L-Particles for Modeling Social Nets Artificial Life? Conclusion Epilogue References Index.

Related papers

Mathematical Modeling of Physical Reality: From Numbers to Fractals, Quantum Mechanics and the Standard Model

Marian Kupczyński

In physics, we construct idealized mathematical models in order to explain various phenomena which we observe or create in our laboratories. In this article, I recall how sophisticated mathematical models evolved from the concept of a number created thousands of years ago, and I discuss some challenges and open questions in quantum foundations and in the Standard Model. We liberated nuclear energy, landed on the Moon and built 'quantum computers'. Encouraged by these successes, many believe that when we reconcile general relativity with quantum theory we will have the correct theory of everything. Perhaps we should be much humbler. Our perceptions of reality are biased by our senses and by our brain, bending them to meet our priors and expectations. Our abstract mathematical models describe only in an approximate way different layers of physical reality. To describe the motion of a meteorite, we can use a concept of a material point, but the point-like approximation breaks completely when the meteorite hits the Earth. Similarly, thermodynamic, chemical, molecular, atomic, nuclear and elementary particle layers of physical reality are described using specific abstract mathematical models and approximations. In my opinion, the theory of everything does not exist.

Entropy•Nov 18, 2024•7 citations

Particles and Paradoxes: The Limits of Quantum Logic.

R. I. G. Hughes, Peter Gibbins

Preface 1. Meta-physics Part I: 2. Quantum mechanics for natural philosophers (I) 3. Wave-particle duality 4. The Copenhagen interpretation (I) 5. The Copenhagen interpretation (II): Einstein versus Bohr Part II: 6. Quantum mechanics for natural philosophers (II) 7. Projection postulates 8. Nonlocality and hidden variables 9. A user-friendly quantum logic 10. Quantum logic: what it can and can't do Conclusion Notes References Index.

The Philosophical Review•Oct 1, 1990•52 citations

Elementary Quantum Mechanics

Ronald W. Gurney

Preface 1. Energy diagrams 2. The new language of physics and chemistry 3. The wave equation - the hydrogen atom - magnetic moment and electron spin - simple problems 4. The uncertainty principle - systems containing many particles - electron configurations and the periodic table - metals 5. The movement of particles 6. Two interacting particles - diatomic molecules 7. Independent observable quantities - homonuclear molecules - valence bonds 8. Electrons in crystals - insulators and conductors 9. Perturbation theory - the description of physical events 10. The same continued Mathematical appendix Table of electron configurations and first ionisation potentials Subject index Name index.

•Nov 1, 2015•2 citations

The Quantum Universe

Hey, Anthony J G, Patrick Walters

Preface Prologue Route map 1. Waves versus particles 2. Heisenberg and uncertainty 3. Schrodinger and matter waves 4. Atoms and nuclei 5. Quantum tunnelling 6. Pauli and the elements 7. Death of a star 8. Quantum co-operation and superfluids 9. Feynman rules 10. Weak photons and strong glue Appendices Epilogue Glossary Suggestions for further reading Photo-credits Subject index Names index.

•Jan 1, 1986•29 citations

Social Quantum Field Theory. First Edition (2026) 1~10 Volume I

IHSIEN CHOU

Volume I: Foundations and Formalism (Chapters 1–10) Volume II: Information Geometry, Dynamics and Applications (Chapters 11–19) Volume III: Advanced Theory, Control, Inverse Problems and Praxis (Chapters 20–52) Chapter 1 Introduction ............................................................................... 1 Chapter 2 From Bourdieu’s Field Theory to Social Quantum Field Theory .......... xx Chapters 3–10 Axioms, Hilbert Space, Field Operators, Geometry, Renormalization, etc. Chapter 11 Information Geometry and Relational Entropy .............................. xx Chapters 12–19 Emergence, Verification, Applications, Computation & Unification Chapter 20 Quantization of Social Fields ..................................................... xx Chapter 21 Interaction Vertices and Perturbation Theory ............................... xx Chapter 22 Spontaneous Symmetry Breaking and Emergent Order ..................... xx Chapters 23–30 Critical Phenomena, Topology, Information Geometry, Networks Chapter 31 Optimal Control and Decision Theory .......................................... xx Chapter 32 Inverse Social Field Theory ....................................................... xx Chapters 33–52 Praxis: Cultivation, Institutions, AI, Geopolitics, Taiwan Cases, Philosophy & Synthesis Epilogue .............................................................................................. xx Postscript Reflections on Mathematical Modeling ....................................... xx Afterword Mathematical Vision of Social Reality ......................................... xx Appendices (L–W, X, Y, etc.) Mathematical Notation · Complete Axioms · Illustrations · Glossary · FAQs · Open Problems · Future Research Agenda References ........................................................................................... xx Index ................................................................................................. xx

•Jul 21, 2026•0 citations

Modern Many-Particle Physics - Atomic Gases, Quantum Dots and Quantum Fluids

E. Lipparini

Independent-Particle Model The Hartree-Fock Theory The Brueckner-Hartree-Fock (BHF) Theory The Density Functional Theory (DFT) Quantum Dots in a Magnetic Field Monte Carlo Methods The Linear Response Function Theory The Linear Response Function in Different Models Dynamic Correlations and Response Function The Hydrodynamic and Elastic Models.

WORLD SCIENTIFIC eBooks•Jan 1, 2003•38 citations
In physics, we construct idealized mathematical models in order to explain various phenomena which we observe or create in our laboratories. In this article, I recall how sophisticated mathematical models evolved from the concept of a number created thousands of years ago, and I discuss some challenges and open questions in quantum foundations and in the Standard Model. We liberated nuclear energy, landed on the Moon and built 'quantum computers'. Encouraged by these successes, many believe that when we reconcile general relativity with quantum theory we will have the correct theory of everything. Perhaps we should be much humbler. Our perceptions of reality are biased by our senses and by our brain, bending them to meet our priors and expectations. Our abstract mathematical models describe only in an approximate way different layers of physical reality. To describe the motion of a meteorite, we can use a concept of a material point, but the point-like approximation breaks completely when the meteorite hits the Earth. Similarly, thermodynamic, chemical, molecular, atomic, nuclear and elementary particle layers of physical reality are described using specific abstract mathematical models and approximations. In my opinion, the theory of everything does not exist.
Preface 1. Energy diagrams 2. The new language of physics and chemistry 3. The wave equation - the hydrogen atom - magnetic moment and electron spin - simple problems 4. The uncertainty principle - systems containing many particles - electron configurations and the periodic table - metals 5. The movement of particles 6. Two interacting particles - diatomic molecules 7. Independent observable quantities - homonuclear molecules - valence bonds 8. Electrons in crystals - insulators and conductors 9. Perturbation theory - the description of physical events 10. The same continued Mathematical appendix Table of electron configurations and first ionisation potentials Subject index Name index.
Volume I: Foundations and Formalism (Chapters 1–10) Volume II: Information Geometry, Dynamics and Applications (Chapters 11–19) Volume III: Advanced Theory, Control, Inverse Problems and Praxis (Chapters 20–52) Chapter 1 Introduction ............................................................................... 1 Chapter 2 From Bourdieu’s Field Theory to Social Quantum Field Theory .......... xx Chapters 3–10 Axioms, Hilbert Space, Field Operators, Geometry, Renormalization, etc. Chapter 11 Information Geometry and Relational Entropy .............................. xx Chapters 12–19 Emergence, Verification, Applications, Computation & Unification Chapter 20 Quantization of Social Fields ..................................................... xx Chapter 21 Interaction Vertices and Perturbation Theory ............................... xx Chapter 22 Spontaneous Symmetry Breaking and Emergent Order ..................... xx Chapters 23–30 Critical Phenomena, Topology, Information Geometry, Networks Chapter 31 Optimal Control and Decision Theory .......................................... xx Chapter 32 Inverse Social Field Theory ....................................................... xx Chapters 33–52 Praxis: Cultivation, Institutions, AI, Geopolitics, Taiwan Cases, Philosophy & Synthesis Epilogue .............................................................................................. xx Postscript Reflections on Mathematical Modeling ....................................... xx Afterword Mathematical Vision of Social Reality ......................................... xx Appendices (L–W, X, Y, etc.) Mathematical Notation · Complete Axioms · Illustrations · Glossary · FAQs · Open Problems · Future Research Agenda References ........................................................................................... xx Index ................................................................................................. xx