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This open access book chronicles the rise of a new scientific paradigm offering novel insights into the ageold enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be informationtheoretic and participatory, yielding a computational and programmable universe.
Popular works  Physics  Epistemology  Physics  Statistical physics  Dynamical systems  Philosophy and science  Philosophy
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Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the bigdata analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum manybody physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for nonspecialists on quantum physics to understand tensor network algorithms and the related mathematics.
Physics  Physics  Quantum physics  Quantum optics  Statistical physics  Machine learning  Elementary particles (Physics)  Quantum field theory
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This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited pathbreaking research contributions by awardwinning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.
Earth sciences  Geology—Statistical methods  Mathematical physics  Statistics  Statistics  Statistical physics
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This Special Issue "Differential Geometrical Theory of Statistics" collates selected invited and contributed talks presented during the conference GSI'15 on "Geometric Science of Information" which was held at the Ecole Polytechnique, ParisSaclay Campus, France, in October 2015 (Conference web site: http://www.see.asso.fr/gsi2015).
Entropy  Coding Theory  Maximum entropy  Information geometry  Computational Information Geometry  Hessian Geometry  Divergence Geometry  Information topology  Cohomology  Shape Space  Statistical physics  Thermodynamics
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This first open access volume of the handbook series contains articles on the standard model of particle physics, both from the theoretical and experimental perspective. It also covers related topics, such as heavyion physics, neutrino physics and searches for new physics beyond the standard model. A joint CERNSpringer initiative, the “Particle Physics Reference Library” provides revised and updated contributions based on previously published material in the wellknown LandoltBoernstein series on particle physics, accelerators and detectors (volumes 21A,B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access.
Elementary Particles, Quantum Field Theory  Nuclear Physics, Heavy Ions, Hadrons  Particle Acceleration and Detection, Beam Physics  Quantum Field Theories, String Theory  Measurement Science and Instrumentation  Nuclear Physics  Accelerator Physics  Theoretical, Mathematical and Computational Physics  Standard Model of particle physics  High energy physics handbook  Collider physics  Fundamental particles and forces  HEP reference work  experimental particle physics  LandoltBoernstein elementary particles  accelerator physics experiments  physics of particle detectors  Open Access  Quantum physics (quantum mechanics & quantum field theory)  Atomic & molecular physics  Particle & highenergy physics  Statistical physics  Scientific standards, measurement etc
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