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This book consists of the articles published in the special issues of this Symmetry journal based on twobytwo matrices and harmonic oscillators. The book also contains additional articles published by the guest editor in this Symmetry journal. They are of course based on harmonic oscillators and/or twobytwo matrices. The subject of symmetry is based on exactly soluble problems in physics, and the physical theory is not soluble unless it is based on oscillators and/or twobytwo matrices. The authors of those two special issues were aware of this environment when they submitted their articles. This book could therefore serve as an example to illustrate this important aspect of symmetry problems in physics.
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The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, subRiemannian manifolds, and Lie groups. In parallel, in geometric mechanics, JeanMarie Souriau interpreted the temperature vector of Planck as a spacetime vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties.
uncertainty relation  Wigner–Yanase–Dyson skew information  quantum memory  Born probability rule  quantumclassical relationship  spinors in quantum and classical physics  square integrable  energy quantization  Quantum HamiltonJacobi Formalism  quantum trajectory  generalized uncertainty principle  successive measurements  minimal observable length  Rényi entropy  Tsallis entropy  deep learning  quantum computing  neuromorphic computing  high performance computing  quantum mechanics  Gleason theorem  Kochen–Specker theorem  Born rule  quantum uncertainty  quantum foundations  quantum information  continuous variables  Bohmian dynamics  entanglement indicators  linear entropy  original Bell inequality  perfect correlation/anticorrelation  qudit states  quantum bound  measure of classicality  foundations of quantum mechanics  uncertainty relations  bell inequalities  entropy  quantum computing
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Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultrasensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on noncausal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.
reconstruction of quantum theory  entanglement  monogamy  quantum nonlocality  conserved informational charges  limited information  complementarity  characterization of unitary group and state spaces  algebraic quantum theory  C*algebra  gelfand duality  classical context  bohrification  process theory  classical limit  purity  higherorder interference  generalised probabilistic theories  Euclidean Jordan algebras  Pauli exclusion principle  quantum foundations  Xray spectroscopy  underground experiment  silicon drift detector  measurement uncertainty relations  relative entropy  position  momentum  quantum mechanics  the measurement problem  collapse models  Xrays  quantum gravity  discrete spacetime  causal sets  path summation  entropic gravity  physical computing models  complexity classes  causality  blind source separation (BSS)  qubit pair  exchange coupling  entangled pure state  unentanglement criterion  probabilities in quantum measurements  independence of random quantum sources  iterant  Clifford algebra  matrix algebra  braid group  Fermion  Dirac equation  quantum information  quantum computation  semiclassical physics  quantum control  quantum genetic algorithm  samplingbased learning control (SLC)  quantum foundations  relativity  quantum gravity  cluster states  multipartite entanglement  percolation  Shannon information  quantum information  quantum measurements  consistent histories  incompatible frameworks  single framework rule  probability theory  entropy  quantum relative entropy  quantum information  quantum mechanics  inference  quantum measurement  quantum estimation  macroscopic quantum measurement  quantum annealing  adiabatic quantum computing  hard problems  Hadamard matrix  binary optimization  reconstruction of quantum mechanics  conjugate systems  Jordan algebras  quantum correlations  Gaussian states  Gaussian unitary operations  continuousvariable systems  Wignerfriend experiment  nogo theorem  quantum foundations  interpretations of quantum mechanics  subsystem  agent  conservation of information  purification  group representations  commuting subalgebras  quantum walks  Hubbard model  Thirring model  quantum information  quantum foundations  quantum theory and gravity
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The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.
quantum logic  groups  partially defined algebras  quasigroups  viable cultures  quantum information theory  bit commitment  protocol  entropy  entanglement  orthogonality  quantum computation  Gram–Schmidt process  quantum probability  potentiality  complementarity  uncertainty relations  Copenhagen interpretation  indefiniteness  indeterminism  causation  randomness  quantum information  quantum dynamics  entanglement  algebra  causality  geometry  probability  quantum information theory  realism  reality  entropy  correlations  qubits  probability representation  Bayes’ formula  quantum entanglement  threequbit random states  entanglement classes  entanglement polytope  anisotropic invariants  quantum random number  vacuum state  maximization of quantum conditional minentropy  quantum logics  quantum probability  holistic semantics  epistemic operations  Bell inequalities  algorithmic complexity  Borel normality  Bayesian inference  model selection  random numbers  quantumlike models  operational approach  information interpretation of quantum theory  social laser  social energy  quantum information field  social atom  Bose–Einstein statistics  bandwagon effect  social thermodynamics  resonator of social laser  master equation for socioinformation excitations  quantum contextuality  Kochen–Specker sets  MMP hypergraphs  Greechie diagrams  quantum foundations  probability  irreducible randomness  random number generators  quantum technology  entanglement  quantumlike models for social stochasticity  contextuality
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Since their discovery in 1895, the detection of Xrays has had a strong impact on and various applications in several fields of science and human life. Impressive efforts have been made to develop new types of detectors and new techniques, aiming to obtain higher precision both in terms of energy and position. Depending on the applications, solid state detectors, microcalorimeters, and various types of spectrometers currently serve as the best options for spectroscopic and imaging detectors. Recent advancements in micron and meV precision have opened the door for groundbreaking applications in fundamental physics, medical science, astrophysics, cultural heritage, and several other fields. The aim of this Special Issue is to compile an overview, from different communities and research fields, of the most recent developments in Xray detection and their possible impacts in various sectors, such as in exotic atom measurements, quantum physics studies, XRF, XES, EXAFS, plasma emission spectroscopy, monochromators, synchrotron radiation, telescopes, and space engineering. All the papers included in this Special Issue contribute to emphasizing the importance of Xray detection in a very broad range of physics topics; most of these topics are covered by the published works, and several others are mentioned in the paper references, providing an interesting and very useful synopsis, from a variety of different communities and research fields, of the most recent developments in Xray detection and their impact in fundamental research and societal applications.
soft Xrays  XAFS  beamlines  synchrotron radiation  material science  Xray reflectivity  Mössbauer spectroscopy  magnetic multilayers  standing waves  Xray absorption spectroscopy  amylin  high energy resolution fluorescence detection  HOPG  HAPG  Pyrolytic Graphite  von Hamos  mosaic spread  mosaicity  rocking curve  Compton camera  positron emission tomography  Compton scattering  scintillation detector  silicon photomultiplier  medical applications  free electron lasers  coherent imaging  Xray Raman  Xray absorption  THz radiation  solidstate detectors  radiation detectors  photodetectors  X and ?ray instruments  X and ?ray sources, mirrors, gratings, and detectors  Xray and ?ray spectrometers  optical materials  Xray diffraction  optical instruments and equipment  molybdenum  TM oxides  XAFS  thin films  kaonic atoms  strong interaction  Xray detectors  Pauli exclusion principle  quantum foundations  Xray spectroscopy  underground experiment  Xray  XAS  XRF  multidisciplinarity  Xray source facilities  material investigation  graphite crystals
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The coastal zone is the host to many human activities, which have significantly increased in the last decades. However, sea level rise and more frequent storm events severely affect beaches and coastal structures, with negative consequences and dramatic impacts on coastal communities. These aspects add to typical coastal problems, like flooding and beach erosion, which already leading to large economic losses and human fatalities. Modeling is thus fundamental for an exhaustive understanding of the nearshore region in the present and future environment. Innovative tools and technologies may help to better understand coastal processes in terms of hydrodynamics, sediment transport, bed morphology, and their interaction with coastal structures. This book collects several contributions focusing on nearshore dynamics, and span among several time and spatial scales using both physical and numerical approaches. The aim is to describe the most recent advances in coastal dynamics.
offshore wind  tension leg platforms  loads and response  model testing  support structures  gravitybased structures  GBS  GBF  floating offshore wind turbine (FOWT)  mooring system  coupled dynamic response  broken mooring line  safety factor  renewable energies  ocean energy  offshore wind  wave  tidal  marine currents  ocean thermal  Lebanon  offshore wind energy  wind power density  aiRthermo  air density  ERA5  wind energy  optimal selection factors  onshoreoffshore wind power plant  offshore wind energy  HVAC  HVDC  P2X  hydrogen storage  CAES  offshore wind farm  vacuum circuit breaker  reignition characteristics  switching overvoltage  ice force  design response spectrum  crushing failure  bending failure  monopile  horizontal vibration  combined static and dynamic loads  different loading directions  frequency response functions  scour phenomenon  weight  size  nominal diameter  armour  monitoring  offshore wind farm  support structure  monopile  jacket  GBS  tripod  floating  offshore wind turbine  trailingedge flap  load mitigation  free vortex wake  offshore wind farm  marine energy  foundations  wind resource  wind turbine generators  electrical connection  numerical models  physical models  development  design and construction  operation and maintenance
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Modern information communication technology eradicates barriers of geographic distances, making the world globally interdependent, but this spatial globalization has not eliminated cultural fragmentation. The Two Cultures of C.P. Snow (that of science–technology and that of humanities) are drifting apart even faster than before, and they themselves crumble into increasingly specialized domains. Disintegrated knowledge has become subservient to the competition in technological and economic race leading in the direction chosen not by the reason, intellect, and shared valuebased judgement, but rather by the whims of autocratic leaders or fashion controlled by marketers for the purposes of political or economic dominance. If we want to restore the authority of our best available knowledge and democratic values in guiding humanity, first we have to reintegrate scattered domains of human knowledge and values and offer an evolving and diverse vision of common reality unified by sound methodology. This collection of articles responds to the call from the journal Philosophies to build a new, networked world of knowledge with domain specialists from different disciplines interacting and connecting with other knowledgeandvaluesproducing and knowledgeandvaluesconsuming communities in an inclusive, extended, contemporary natural–philosophic manner. In this process of synthesis, scientific and philosophical investigations enrich each other—with sciences informing philosophies about the best current knowledge of the world, both natural and humanmade—while philosophies scrutinize the ontological, epistemological, and methodological foundations of sciences, providing scientists with questions and conceptual analyses. This is all directed at extending and deepening our existing comprehension of the world, including ourselves, both as humans and as societies, and humankind.
n/a  compositional hierarchy  development  dissipative structures  final cause  internalism  Second Law of thermodynamics  subsumptive hierarchy  agonism  apophasis  autocatalysis  centripetality  contingency  endogenous selection  heterogeneity  indeterminacy  process  mathematics  physics  philosophical foundations  natural philosophy  the logic of nature  ontology  epistemology  in the name of nature  philosophy of information  natural philosophy  metaphysics  physics  problem of induction  physicalism  theoretical unity  philosophy of science  scientific method  scientific progress  pessimistic induction  awareness  cognition  computation  cybernetics  differentiation  fitness  holographic encoding  memory  perception  quantum information  signal transduction  spatial representation  thermodynamics  unitarity  Leibniz  monad  internal quantum state  relational biology  reflexive psychology  self  induction  naturalism  evidence and justification  epistemic norms  induction and concept formation  induction and discovery of laws  natural philosophy  R.M. Unger  L. Smolin  Aristotle  F.W.J. Schelling  Naturphilosophie  A.N. Whitehead  Ivor Leclerc  dialectics  discourse  discursive space  information  knowledge  humanistic management  language  natural philosophy  subjective experience  process  dual aspects  consciousness  informationtheory  theoretical biology  1stperson and 3rdperson perspectives  hylomorphism  mind  form  matter  neurodynamics  natural philosophy  philosophy of science  Jungian psychology  depth psychology  analytical psychology  phenomenological psychology  evolutionary psychology  active imagination  Aristotle’s four causes  aesthetics in science  philosophy as a way of life  common good  contradiction  ethics  information  logic  naturalization  realism  science  synthesis  natural philosophy  philosophy of nature  naturalism  unity of knowledge  qualitative ontology  intentionality  dispositions  qualia  abduction  agentbased reasoning  creativity  ecocognitive model  ecocognitive openness  fallacies  errors of reasoning  thirdway reasoning  naturalization of logic  causality  embodiment  measurement  regulation  retrocausality  secondperson description  symmetry breaking  temporality  natural philosophy  cosmology  emptiness  vacuum  void  dark energy  space flight  exoplanet  big freeze  big crunch  everyday lifeworld  digitization  computability  complexity  reverse mathematics  quantum computing  real computing  theory of everything  acategoriality  statespace approach  mental representation  dualaspect monism  exceptional experiences  intentionality  mindmatter relations  category theory  memory evolutive system  emergence  emergentist reductionism  anticipation  creativity  infocomputational model
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Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in ""deeperlevel"" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de BroglieBohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeperlevel questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and nonclassical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.
quantum foundations  nonlocality  retrocausality  Bell’s theorem  Bohmian mechanics  quantum theory  surrealistic trajectories  Bell inequality  quantum mechanics  generalized Lagrangian paths  covariant quantum gravity  emergent spacetime  Gaussianlike solutions  entropy and time evolution  resonances in quantum systems  the Friedrichs model  complex entropy.  Bell’s theorem  the causal arrow of time  retrocausality  superdeterminism  toymodels  quantum ontology  subquantum dynamics  microconstituents  emergent spacetime  emergent quantum gravity  entropic gravity  black hole thermodynamics  SternGerlach  trajectories  spin  Bell theorem  fractal geometry  padic metric  singular limit  gravity  conspiracy  free will  number theory  quantum potential  Feynman paths  weak values  Bohm theory  nohiddenvariables theorems  observables  measurement problem  Bohmian mechanics  primitive ontology  Retrocausation  weak values  Stochastic Electrodynamics  quantum mechanics  decoherence  interpretations  pilotwave theory  Bohmian mechanics  Born rule statistics  measurement problem  quantum thermodynamics  strong coupling  operator thermodynamic functions  quantum theory  de Broglie–Bohm theory  contextuality  atomsurface scattering  bohmian mechanics  matterwave optics  diffraction  vortical dynamics  Schrödinger equation  de Broglie–Bohm theory  nonequilibrium thermodynamics  zeropoint field  de Broglie–Bohm interpretation of quantum mechanics  pilot wave  interiorboundary condition  ultraviolet divergence  quantum field theory  Aharonov–Bohm effect  physical ontology  nomology  interpretation  gauge freedom  Canonical Presentation  relational space  relational interpretation of quantum mechanics  measurement problem  nonlocality  discrete calculus  iterant  commutator  diffusion constant  LeviCivita connection  curvature tensor  constraints  Kilmister equation  Bianchi identity  stochastic differential equations  Monte Carlo simulations  Burgers equation  Langevin equation  fractional velocity  interpretations of quantum mechanics  David Bohm  mind–body problem  quantum holism  fundamental irreversibility  spacetime fluctuations  spontaneous state reduction  Poincaré recurrence  symplectic camel  quantum mechanics  Hamiltonian  molecule interference  matterwaves  metrology  magnetic deflectometry  photochemistry  past of the photon  Mach–Zehnder interferometer  Dove prism  photon trajectory  weak measurement  transition probability amplitude  atomic metastable states  Bell’s theorem  Bohmian mechanics  nonlocality  many interacting worlds  wavefunction nodes  bouncing oil droplets  stochastic quantum dynamics  de Broglie–Bohm theory  quantum nonequilibrium  Htheorem  ergodicity  ontological quantum mechanics  objective nonsignaling constraint  quantum inaccessibility  epistemic agent  emergent quantum state  selfreferential dynamics  dynamical chaos  computational irreducibility  undecidable dynamics  Turing incomputability  quantum ontology  nonlocality  timesymmetry  retrocausality  quantum causality  conscious agent  emergent quantum mechanics  Bohmian mechanics  de BroglieBohm theory
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