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Selected Topics in Gravity, Field Theory and Quantum Mechanics

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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

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