04650nam 2201189z- 450 991063999090332120231214132825.03-0365-5906-X(CKB)5470000001633445(oapen)https://directory.doabooks.org/handle/20.500.12854/95799(EXLCZ)99547000000163344520202301d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierSelected Topics in Gravity, Field Theory and Quantum MechanicsBaselMDPI - Multidisciplinary Digital Publishing Institute20221 electronic resource (348 p.)3-0365-5905-1 Quantum 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.Research & information: generalbicsscPhysicsbicsscsemiheapsternary algebraspara-associativityquantum mechanicsgravityClairaut equationCho-Duan-Ge decompositionconstraintless formalismcanonical gravitycovarianceblack holesquantum foundationsnon-axiomaticitydetector clicksensemblessuperposition principlearithmeticnumbersvector spaceabstractinginterpretationsself-referentialitydirect productdirect powerpolyadic semigrouparitypolyadic ringpolyadic fieldMaxwell's vacuum equationsHamilton-Jacobi equationKlein-Gordon-Fock equationalgebra of symmetry operatorsseparation of variableslinear partial differential equationsEinstein field equationrecursion operatorNoether symmetrymaster symmetryconformable differentialPoisson manifolddiffeomorphism groupcurrent algebra symmetrycurrent Lie algebra representationfock spacegenerating functionaldistribution functionsLie-Poisson structurecoherent statesLie-Poisson actionHilbert space linearizationhamiltonian systemssymmetry reductionintegrabilityidiabatic statesfactorizationheavenly type dynamical systemsintegrable dynamical systemsdirac reductionhydrodynamic flowsentropyvortex flowsasymptotic conditionsKirchhoff's integral theoremquantum gravity and the problem of the Big Banghidden Hermitian formulations of quantum mechanicsstationary Wheeler-DeWitt systemphysical Hilbert space metricnon-stationary Wheeler-DeWitt systemResearch & information: generalPhysicsDuplij Stevenedt150878Walker Michael LedtDuplij StevenothWalker Michael LothBOOK9910639990903321Selected Topics in Gravity, Field Theory and Quantum Mechanics3026438UNINA