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The book presents the following counterintuitive theoretical results breaking several paradigms of quantum mechanics and providing alternative interpretations of some important phenomena in atomic and molecular physics. 1) Singular solutions of the Schrödinger and Dirac equations should not have been always rejected: they can explain the experimental high-energy tail of the linear momentum distribution in the ground state of hydrogenic atoms. Application: a unique way to test intimate details of the nuclear structure by performing atomic (rather than nuclear) experiments and calculations. 2) Charge exchange is not really an inherently quantal phenomenon, but rather has classical roots. Application: continuum lowering in plasmas. 3) The most challenging problem of classical physics that led to the development of quantum mechanics — the failure to explain the stability of atoms — can be solved within a classical formalism that has its roots in Dirac's works. The underlying physics can be interpreted as a non-Einsteinian time dilation. 4) In two-electron atoms/ions, the spin-spin interaction (singular in its nature), usually considered unimportant, makes a significant contribution to the binding energy. 5) In magnetized plasmas the standard Inglis-Teller concept, concerning the number of observed lines in spectral series of hydrogen, breaks down. Application: new plasma diagnostic. 6) Extrema in transition energies of molecules/quasimiolecules can result in dips (rather than usually considered satellites) within spectral lines. Application: the experimental determination of rates of charge exchange between multicharged ions — important for magnetic fusion in Tokamaks, for population inversion in the soft x-ray and VUV ranges, for ion storage devices, and for astrophysics.

An equality between inertial and gravitational masses was established by Galileo Galilei more than 400 years ago and was accepted by Albert Einstein as a key point of his theory of gravitation — General Relativity. The above mentioned equality is called the Equivalence Principle. In this pioneering book, some unusual situations are described, where the Equivalence Principle is theoretically broken, and the possible experiments, where such breakdowns can be observed, are discussed in a brief. It is known that, in standard situations, the Equivalence Principle is extremely well established on Earth and in space in numerous experiments, including experiments during the recent space mission MICROSCOPE. Therefore, this book suggests a real breakthrough in the better understanding of Einstein's gravitational theory and its relation to quantum mechanics, which is a definite step towards the so-called'Theory of Everything'. This book is recommended for all readers who are interested in gravitation and General Relativity.

Science is at a cross-roads. For several decades, the Standard Model of particle physics has managed to fit vast amounts of particle scattering data remarkably well, but many questions remain. During those decades, some sophisticated theoretical hypotheses such as string theory, quantum gravity, and quantum cosmology have been proposed and studied intensively, in an effort to break the log-jam of the Standard Model. None of those hypotheses have succeeded to date. Of greater concern is the increasing tendency by some practitioners in those fields to downplay the empirical principles of science.In response, this book is a restatement of those principles, covering numerous aspects of observation. A particular focus is on contextuality versus realism, the two fundamentally contrasting ideologies that underpin modern physics.

Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book consists of papers on a wide variety of topics related to the work of Professor Oziewicz, which were presented at the special conference on Graph-Operads-Logic (GOL 2021), selected through peer review to promote his scientific legacy.Professor Oziewicz was a great enthusiast and supporter of category theory and its applications in physics, as well as in various areas of mathematics (topology, noncommutative geometry, etc.). In particular, he made significant contributions to the theory of Frobenius algebras, which now are becoming more important due to their connection with topological quantum field theories that are used in mathematical physics and in quantum topology. Professor Oziewicz was a great and very generous teacher, who immersed his students in the beautiful ideas of category theory as well as mathematical physics and computation. It was his idea to start a series of conferences under the title Graphs-Operads-Logic, most of them held in Mexico, with some of them in the USA, which were a great platform to discuss various ideas connected with category theory and its various applications, and to make friends with other scientists. Despite his passing, the GOL 2021 conference is included in this series to pay tribute to his many contributions to diverse areas of science.The book is laid out in twelve main topics where we can find relevant works from distinguished experts.

In recent years, many branches of science have been revolutionized. Completely new disciplines now occupy a central place in modern scientific thought, and Aviezer contributes to the discourse of biblical interpretation by utilizing knowledge obtained from them. This book aims to demonstrate the profound implication of combining the scientific understanding of modern science with Biblical passages. Writing for any curious reader, even those without scientific background, Aviezer explains complicated scientific topics in a simple manner, allowing nearly anyone to examine how quantum theory, the butterfly effect, string theory and others can possibly enrich the interpretation of scriptural passages.

This unique collection introduces AI, Machine Learning (ML), and deep neural network technologies leading to scientific discovery from the datasets generated both by supercomputer simulation and by modern experimental facilities.Huge quantities of experimental data come from many sources — telescopes, satellites, gene sequencers, accelerators, and electron microscopes, including international facilities such as the Large Hadron Collider (LHC) at CERN in Geneva and the ITER Tokamak in France. These sources generate many petabytes moving to exabytes of data per year. Extracting scientific insights from these data is a major challenge for scientists, for whom the latest AI developments will be essential.The timely handbook benefits professionals, researchers, academics, and students in all fields of science and engineering as well as AI, ML, and neural networks. Further, the vision evident in this book inspires all those who influence or are influenced by scientific progress.

Ever since 1911, the Solvay Conferences have shaped modern physics. The format is quite different from other conferences as the emphasis is placed on discussion. The 28th edition held in May 2022 in Brussels and chaired by David Gross and Peter Zoller continued this tradition and addressed some of the most pressing open questions in the fields of quantum information, gathering many of the leading figures working on a wide variety of profound problems.The proceedings contain the'rapporteur talks'giving a broad overview with unique insights by distinguished renowned scientists. These lectures cover the five sessions: The Physics of Quantum Information, Many-Body Entanglement, Quantum Information and Spacetime, Quantum Platforms, Quantum Algorithms.In the Solvay tradition, the proceedings also include the prepared comments to the rapporteur talks. The discussions among the participants — expert, yet lively and sometimes contentious — have been edited to retain their flavor and are reproduced in full. The reader is taken on a breathtaking ride through a fascinating field which is expanding rapidly.

The main part of the book consists of the dialogue between physicist Otto Rössler, and artist and AI researcher Bill Seaman with the commentaries disclosing information perspective by information scientist Mark Burgin and Bill Seaman. In this dialogue, Rössler and Seaman discuss concepts surrounding Rössler's major research over his lifetime. Additionally, each research topic is linked to the set of papers and books published by Rössler and other related collaborative researchers. The goal is to delineate an intellectual directory for future researchers. The discussed topics being transdisciplinary in nature cross many fields in science and technology. A comprehensive historical bibliography is also included. The work explores many fields germane to theoretical science as Rössler was often quite early in developing these fields and interacting with many famous scientists. This work pertains to information theory, which has often been left out of the historical literature.Burgin as an expert in information theory is providing an information perspective on this dialogue adding historical discussion and relevant scientific and mathematical underpinnings of the discussed ideas. His observations are complemented by Seaman, who presents the synthesis of artistic and scientific outlook.Addendum contains articles describing Rössler's relationships to colleagues from multiple fields, a parable by Rössler and papers related to Rössler's research and theoretical models of processes in the universe.

Calculi of temporal logic are widely used in modern computer science. The temporal organization of information flows in the different architectures of laptops, the Internet, or supercomputers would not be possible without appropriate temporal calculi. In the age of digitalization and High-Tech applications, people are often not aware that temporal logic is deeply rooted in the philosophy of modalities. A deep understanding of these roots opens avenues to the modern calculi of temporal logic which have emerged by extension of modal logic with temporal operators. Computationally, temporal operators can be introduced in different formalisms with increasing complexity such as Basic Modal Logic (BML), Linear-Time Temporal Logic (LTL), Computation Tree Logic (CTL), and Full Computation Tree Logic (CTL•). Proof-theoretically, these formalisms of temporal logic can be interpreted by the sequent calculus of Gentzen, the tableau-based calculus, automata-based calculus, game-based calculus, and dialogue-based calculus with different advantages for different purposes, especially in computer science.The book culminates in an outlook on trendsetting applications of temporal logics in future technologies such as artificial intelligence and quantum technology. However, it will not be sufficient, as in traditional temporal logic, to start from the everyday understanding of time. Since the 20th century, physics has fundamentally changed the modern understanding of time, which now also determines technology. In temporal logic, we are only just beginning to grasp these differences in proof theory which needs interdisciplinary cooperation of proof theory, computer science, physics, technology, and philosophy.

The mechanics of Newton and Galileo is based on the postulate of a universal time which plays the role of an evolution parameter as well as establishing dynamical correlations between interacting systems. The Michelson-Morley experiment, explained by Einstein in terms of Lorentz transformations, appeared to imply that the time is not absolute, but rather suffers from changes when a system is in motion. Einstein's thought experiment involving a moving system and a laboratory frame of observation, however, indicates that the action of the Lorentz transformation corresponds to an observed effect recorded in the laboratory on a clock that must be running in precise synchronization with that of the observed system. Therefore one concludes that there must be a universal time, as postulated by Newton, and the time that suffers Lorentz transformation becomes an observable dynamical variable. This book describes the effect this observation had on the development of the theory of Stueckelberg, Horwitz and Piron, and the corresponding conceptual basis for many phenomena which can be described in a relativistically covariant framework.

A discourse on time, gravity, and the universe that takes the reader through the subtleties of time, the origin of the universe, and physical evolution in Einstein's theory and its extensions. Can time and causality remain fundamental when the classical ideal of spacetime becomes a concept of limited applicability in quantum gravity? A thorough exposition on the canonical framework of Einstein's theory and its extensions reveals the synergy between gravitation and the cosmic clock of our expanding universe that renders time concrete, physical, and comprehensible. In conjunction with a paradigm shift from four-covariance to just spatial diffeomorphism invariance, causal time-ordering of the quantum state of the universe and its evolution in cosmic time become meaningful. The quantum state of the universe is the embodiment of our shared past, present, and future. The advocated framework prompts natural extensions and improvements to Einstein's theory. A salient feature is the addition of a Cotton-York term to the physical Hamiltonian. Besides bringing improved ultraviolet convergence, this radically changes the solution to the initial data problem and the quantum origin of the universe. It lends support to the quantum beginning of the universe as an exact Chern-Simons Hartle-Hawking state that features Euclidean-Lorentzian instanton tunneling. A signature of this state is that it manifests, at the lowest order approximation, scale-invariant two-point correlation function for transverse-traceless quantum metric fluctuations. This initial quantum state also implies, at the level of expectation values, a low-entropy hot smooth Robertson-Walker beginning that is in accord with Penrose's Weyl Curvature Hypothesis. Consequently, the gravitational arrow of time of increasing spatial volume and the thermodynamic second law arrow of time of increasing entropy concur as our universe expands and ages.

The second set of The Encyclopedia of Cosmology, in three volumes, continues this major, long-lasting, seminal reference at the graduate student level laid out by the most prominent researchers in the general field of cosmology. Together, these volumes will be a comprehensive review of the most important current topics in cosmology, discussing the important concepts and current status in each field, covering both theory and observation.These three volumes are edited by Dr Giovanni Fazio from the Center for Astrophysics | Harvard & Smithsonian, with each volume authored or edited by specialists in the area: Modified Gravity by Claudia de Rham and Andrew Tolley (Imperial College), Neutrino Physics and Astrophysics edited by Floyd Stecker (NASA/Goddard Space Flight Center), Black Holes edited by Zoltan Haiman (Columbia University). These volumes follow the earlier publication in 2020 of The Encyclopedia of Cosmology, which comprises the following four volumes: Galaxy Formation and Evolution by Rennan Barkana (Tel Aviv University), Numerical Simulations in Cosmology edited by Kentaro Nagamine (Osaka University / University of Nevada), Dark Energy by Shinji Tsujikawa (Tokyo University of Science), and Dark Matter by Jihn E Kim (Seoul National University). The Encyclopedia aims to provide an overview of the most important topics in cosmology and serve as an up-to-date reference in astrophysics.

This book focuses on the basics of particle physics, while covering as many frontier advances as possible.The book introduces readers to the principle of symmetry, properties and classification of particles, the quark model of hadrons and the interactions of particles. Following which, the book offers a step-by-step presentation on the unified theory of electromagnetic and weak interaction, as well as the gauge theory of strong interaction: quantum chromodynamics (QCD).In sequential order of the book's development, readers will study topics on the deep inelastic scattering and parton model, the mixing of electrically neutral particle and anti-particles of neutral K meson, neutral B meson and neutral D meson, the CP non-conservation, the charmonium, the exotic states, the glue-ball and hybrid state, the lattice gauge theory, the neutrino oscillation and CP violation of lepton system. Several new models beyond the standard model, such as the grand unified theory and supersymmetric model, are then discussed. As one of the salient takeaways of this book, readers will also explore the interface between cosmology and particle physics.This book is suitable for senior undergraduates, graduate students, teachers and researchers in the field of particle physics. It is also valuable for experimental and theoretical particle physicists as a foundation for further research.

Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

There has not been a scientific revolution for about 100 years. One seems imminent, as QED has recently been violated at the Sigma-6 level. Kuhn, in'The Structure of Scientific Revolutions', used Wittgenstein's famous duck-rabbit optical illusion to demonstrate how bias in interpretation causes scientists to see the same information in radically different manners, which is likely to have delayed the pending paradigm shift. Jean-Pierre Vigier, continually labeled l'hérétique de la physique and l'eternel resistant in French media, remains a pillar of modern mathematical physics.'Heretical'works of Vigier related to extended electromagnetic theory incorporating photon mass and a longitudinal B(3) EM field, gravity, quantum theory, large-scale additional dimensions, the Dirac polarized vacuum and many more related issues are deemed by his followers to be essential to the evolution of physics. The phrase'Lives On'was chosen in the title of this volume to claim ignored portions of his work are relevant to implementing the Paradigm Shift to an Einsteinian Unified Field Theory. Specifically, chapters about the Dirac Hypertube, Tight-Bound States and Spacetime programming provide required insights into crossing the dimensional barrier and'proving'parts of M-Theoretic dimensionality. As happens periodically in the history of science, we live in a climate where coloring outside-the-box can have severe myopic consequences such as difficulties in passing PhD exams, challenges in grant approval or problems in receiving tenure. Since there is no conflict with Gauge Theory, once realized, many chapters in this important volume will aid in facilitating progress in physics beyond the Standard Model.

This introductory compendium teaches engineering students how the most common electronic sensors and actuators work. It distinguishes from other books by including the physical and chemical phenomena used as well as the features and specifications of many sensors and actuators.The useful reference text also contains an introductory chapter that deals with their specifications and classification, a chapter about sensor and actuator networks, and a special topic dealing with the fabrication of sensors and actuators using microelectromechanical systems techniques (sensors and actuators on a chip). A set of exercises and six laboratory projects are highlighted.