LEADER 04650nam 2201189z- 450 001 9910639990903321 005 20231214132825.0 010 $a3-0365-5906-X 035 $a(CKB)5470000001633445 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/95799 035 $a(EXLCZ)995470000001633445 100 $a20202301d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSelected Topics in Gravity, Field Theory and Quantum Mechanics 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 electronic resource (348 p.) 311 $a3-0365-5905-1 330 $aQuantum field theory has achieved some extraordinary successes over the past sixty years; however, it retains a set of challenging problems. It is not yet able to describe gravity in a mathematically consistent manner. CP violation remains unexplained. Grand unified theories have been eliminated by experiment, and a viable unification model has yet to replace them. Even the highly successful quantum chromodynamics, despite significant computational achievements, struggles to provide theoretical insight into the low-energy regime of quark physics, where the nature and structure of hadrons are determined. The only proposal for resolving the fine-tuning problem, low-energy supersymmetry, has been eliminated by results from the LHC. Since mathematics is the true and proper language for quantitative physical models, we expect new mathematical constructions to provide insight into physical phenomena and fresh approaches for building physical theories. 606 $aResearch & information: general$2bicssc 606 $aPhysics$2bicssc 610 $asemiheaps 610 $aternary algebras 610 $apara-associativity 610 $aquantum mechanics 610 $agravity 610 $aClairaut equation 610 $aCho-Duan-Ge decomposition 610 $aconstraintless formalism 610 $acanonical gravity 610 $acovariance 610 $ablack holes 610 $aquantum foundations 610 $anon-axiomaticity 610 $adetector clicks 610 $aensembles 610 $asuperposition principle 610 $aarithmetic 610 $anumbers 610 $avector space 610 $aabstracting 610 $ainterpretations 610 $aself-referentiality 610 $adirect product 610 $adirect power 610 $apolyadic semigroup 610 $aarity 610 $apolyadic ring 610 $apolyadic field 610 $aMaxwell's vacuum equations 610 $aHamilton-Jacobi equation 610 $aKlein-Gordon-Fock equation 610 $aalgebra of symmetry operators 610 $aseparation of variables 610 $alinear partial differential equations 610 $aEinstein field equation 610 $arecursion operator 610 $aNoether symmetry 610 $amaster symmetry 610 $aconformable differential 610 $aPoisson manifold 610 $adiffeomorphism group 610 $acurrent algebra symmetry 610 $acurrent Lie algebra representation 610 $afock space 610 $agenerating functional 610 $adistribution functions 610 $aLie-Poisson structure 610 $acoherent states 610 $aLie-Poisson action 610 $aHilbert space linearization 610 $ahamiltonian systems 610 $asymmetry reduction 610 $aintegrability 610 $aidiabatic states 610 $afactorization 610 $aheavenly type dynamical systems 610 $aintegrable dynamical systems 610 $adirac reduction 610 $ahydrodynamic flows 610 $aentropy 610 $avortex flows 610 $aasymptotic conditions 610 $aKirchhoff's integral theorem 610 $aquantum gravity and the problem of the Big Bang 610 $ahidden Hermitian formulations of quantum mechanics 610 $astationary Wheeler-DeWitt system 610 $aphysical Hilbert space metric 610 $anon-stationary Wheeler-DeWitt system 615 7$aResearch & information: general 615 7$aPhysics 700 $aDuplij$b Steven$4edt$0150878 702 $aWalker$b Michael L$4edt 702 $aDuplij$b Steven$4oth 702 $aWalker$b Michael L$4oth 906 $aBOOK 912 $a9910639990903321 996 $aSelected Topics in Gravity, Field Theory and Quantum Mechanics$93026438 997 $aUNINA