Primes And Particles
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Primes And Particles
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Author : Martin H. Krieger
language : en
Publisher: Springer Nature
Release Date : 2024-02-22
Primes And Particles written by Martin H. Krieger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-22 with Mathematics categories.
Many philosophers, physicists, and mathematicians have wondered about the remarkable relationship between mathematics with its abstract, pure, independent structures on one side, and the wilderness of natural phenomena on the other. Famously, Wigner found the "effectiveness" of mathematics in defining and supporting physical theories to be unreasonable, for how incredibly well it worked. Why, in fact, should these mathematical structures be so well-fitting, and even heuristic in the scientific exploration and discovery of nature? This book argues that the effectiveness of mathematics in physics is reasonable. The author builds on useful analogies of prime numbers and elementary particles, elementary structure kinship and the structure of systems of particles, spectra and symmetries, and for example, mathematical limits and physical situations. The two-dimensional Ising model of a permanent magnet and the proofs of the stability of everyday matter exemplify such effectiveness, and the power of rigorous mathematical physics. Newton is our original model, with Galileo earlier suggesting that mathematics is the language of Nature.
Prime Symmetry And Particle Physics
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Author : George Brewer
language : en
Publisher: Troubador Publishing Ltd
Release Date : 2017-06-13
Prime Symmetry And Particle Physics written by George Brewer and has been published by Troubador Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-13 with Mathematics categories.
Is it possible to take a set of particle masses and then work backwards to find a hidden symmetry? Does the Higgs Boson have a partner particle and might that particle solve the mystery of dark matter? Can the tiny masses of neutrinos be predicted? Prime Symmetry and Particle Physics begins with the understanding that the constant π does not have to be measured in spacetime: it can be calculated from a set of real numbers. Former PhD student, George Brewer explores the idea that if this is true of π, why not of other constants? A standard model of physics predicts interactions between quantum fields when particles scatter, but 26 numbers, dimensionless constants for force strengths and the masses of elementary particles, still need to be put into that model. Brewer proposes that many of those constants can actually be calculated from a single equation and a set of integer parameters – a theory that he calls the prime symmetry model. Comparing a set of measured constants against their calculated counterparts provides good evidence for the model's validity. Brewer opens the door for readers to join a select group with information that theorists and experimentalists at the Large Hadron Collider (LHC) are yet to consider, offering them the opportunity to verify the model’s deceptively simple mathematics for themselves, simply by using an online scientific calculator. Inspired by Albert Einstein, Stephen Hawking and Sean Carroll, Prime Symmetry and Particle Physics is an essential read for all particle physics enthusiasts. The book will also appeal to readers interested in the Higgs boson events at the LHC.
A Handbook Of Number Theory In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
A Handbook Of Number Theory In Quantum Mechanics written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"A Handbook of Number Theory in Quantum Mechanics" is a comprehensive guide designed for absolute beginners eager to explore the fascinating intersection of number theory and quantum mechanics. This book provides a clear and accessible introduction to essential concepts in both fields, from prime numbers and modular arithmetic to wave functions and quantum superposition. With step-by-step explanations, illustrative examples, and a focus on clarity, it aims to make complex topics approachable for all readers. Whether you're a student, an enthusiastic amateur, or simply curious about the mathematical foundations of the quantum world, this handbook will equip you with a solid understanding and inspire further exploration into these captivating subjects.
Lumen Naturae
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Author : Matilde Marcolli
language : en
Publisher: MIT Press
Release Date : 2020-05-26
Lumen Naturae written by Matilde Marcolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.
Exploring common themes in modern art, mathematics, and science, including the concept of space, the notion of randomness, and the shape of the cosmos. This is a book about art—and a book about mathematics and physics. In Lumen Naturae (the title refers to a purely immanent, non-supernatural form of enlightenment), mathematical physicist Matilde Marcolli explores common themes in modern art and modern science—the concept of space, the notion of randomness, the shape of the cosmos, and other puzzles of the universe—while mapping convergences with the work of such artists as Paul Cezanne, Mark Rothko, Sol LeWitt, and Lee Krasner. Her account, focusing on questions she has investigated in her own scientific work, is illustrated by more than two hundred color images of artworks by modern and contemporary artists. Thus Marcolli finds in still life paintings broad and deep philosophical reflections on space and time, and connects notions of space in mathematics to works by Paul Klee, Salvador Dalí, and others. She considers the relation of entropy and art and how notions of entropy have been expressed by such artists as Hans Arp and Fernand Léger; and traces the evolution of randomness as a mode of artistic expression. She analyzes the relation between graphical illustration and scientific text, and offers her own watercolor-decorated mathematical notebooks. Throughout, she balances discussions of science with explorations of art, using one to inform the other. (She employs some formal notation, which can easily be skipped by general readers.) Marcolli is not simply explaining art to scientists and science to artists; she charts unexpected interdependencies that illuminate the universe.
New Trends And Advanced Methods In Interdisciplinary Mathematical Sciences
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Author : Bourama Toni
language : en
Publisher: Springer
Release Date : 2017-07-05
New Trends And Advanced Methods In Interdisciplinary Mathematical Sciences written by Bourama Toni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Mathematics categories.
The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.
Entangling Primes And Zeros
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Author : David R Ely
language : en
Publisher: David R Ely
Release Date : 2024-04-26
Entangling Primes And Zeros written by David R Ely and has been published by David R Ely this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
For over 150 years, the Riemann Hypothesis stood as perhaps the greatest unsolved problem in mathematics. Proposed in 1859 by Bernard Riemann, the conjecture provided a tantalizing connection between the distribution of prime numbers and the zeros of an analytic function. Riemann located all the non-trivial zeros of the zeta function along a straight line in the complex plane. This simple pattern pointed to hidden order in the chaos of prime numbers. Generations of mathematicians struggled in vain to prove Riemann's alluring claim. It became the holy grail of number theory, resisting the most powerful mathematical minds. The Riemann Hypothesis gained renown as the most important problem in all of mathematics. But despite intense effort, the problem seemed mired in insurmountable difficulty. In this book, we walk through the proof that could finally cracked Riemann's age-old enigma. By bringing together ideas from complex analysis, number theory, and topology, the proof provides a creative bridge between mathematics' disparate domains. Methods based on symmetry, contradiction, and strategic re-expression illuminate Riemann's magic at last. The book offers the first comprehensive guide to understanding and appreciating this watershed mathematical achievement. It provides deep mathematical insights, historical perspectives, and reflection on problem-solving philosophy. Most importantly, the work pays tribute to the human spirit embodied in mathematics’ unending quest to understand the mysteries of patterns that surround us.
Progress In Physics Vol 3 2009
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Author : Dmitri Rabounski
language : en
Publisher: Infinite Study
Release Date :
Progress In Physics Vol 3 2009 written by Dmitri Rabounski and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.
An Enquiry Concerning The Principles Of Natural Knowledge
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1919
An Enquiry Concerning The Principles Of Natural Knowledge written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1919 with Philosophy categories.
Science And The Written Word
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Author : Lou Massa
language : en
Publisher: Oxford University Press
Release Date : 2011-06-10
Science And The Written Word written by Lou Massa and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-10 with Science categories.
In order to meet the growing scientific requirements of an increasingly complex society, it is essential for us to have an appreciation of the power and breadth of science. Science and the Written Word is a collection of interviews featuring some of the world's greatest scientists and Nobel Prize winners. The interviews examine topics related to the nature of science and technology, making them more accessible to the general reader, and emphasize the relationship of various scientific disciplines to one another. Through this book, readers learn from the "inside" how science is done, what motivates it, and why it is of importance to society as a whole. The book offers insights into scientific personalities and dispels common misconceptions regarding the popular image of scientists. The interviews in this book examine standards of behavior and ethics and demonstrate the relationships between science and social values. They delve into topics such as the utility of science in application to war, the importance of science in the educational curriculum, cost benefits of fundamental research in consideration of the national budget, and the public controversy of evolution versus intelligent design. Cumulatively, the discussions in this book give rise to an awareness of both the reality of science and technology and its profound impact upon the well being of society.
Topological Geometrodynamics
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Author : Matti Pitkanen
language : en
Publisher: Bentham Science Publishers
Release Date : 2016-03-03
Topological Geometrodynamics written by Matti Pitkanen and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-03 with Science categories.
Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.