Selected Topics in Gravity, Field Theory and Quantum Mechanics

• Other Authors: Duplij, Steven (Editor), Walker, Michael L. (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: Research & information: general; Physics; semiheaps; ternary algebras; para-associativity; quantum mechanics; gravity; Clairaut equation; Cho-Duan-Ge decomposition; constraintless formalism; canonical gravity; covariance; black holes; quantum foundations; non-axiomaticity; detector clicks; ensembles; superposition principle; arithmetic; numbers; vector space; abstracting; interpretations; self-referentiality; direct product; direct power; polyadic semigroup; arity; polyadic ring; polyadic field; Maxwell's vacuum equations; Hamilton-Jacobi equation; Klein-Gordon-Fock equation; algebra of symmetry operators; separation of variables; linear partial differential equations; Einstein field equation; recursion operator; Noether symmetry; master symmetry; conformable differential; Poisson manifold; diffeomorphism group; current algebra symmetry; current Lie algebra representation; fock space; generating functional; distribution functions; Lie-Poisson structure; coherent states; Lie-Poisson action; Hilbert space linearization; hamiltonian systems; symmetry reduction; integrability; idiabatic states; factorization; heavenly type dynamical systems; integrable dynamical systems; dirac reduction; hydrodynamic flows; entropy; vortex flows; asymptotic conditions; Kirchhoff's integral theorem; quantum gravity and the problem of the Big Bang; hidden Hermitian formulations of quantum mechanics; stationary Wheeler-DeWitt system; physical Hilbert space metric; non-stationary Wheeler-DeWitt system; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...