Selected Topics in Gravity, Field Theory and Quantum Mechanics
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...
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| Jazyk: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2022
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| ISBN: | 303655906X, 9783036559063, 3036559051, 9783036559056 |
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| Abstract | 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. |
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| AbstractList | 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. |
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| Editor | Walker, Michael L Duplij, Steven |
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| Snippet | 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... |
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| SubjectTerms | abstracting algebra of symmetry operators arithmetic arity asymptotic conditions black holes canonical gravity Cho–Duan–Ge decomposition Clairaut equation coherent states conformable differential constraintless formalism covariance current algebra symmetry current Lie algebra representation detector clicks diffeomorphism group dirac reduction direct power direct product distribution functions Einstein field equation ensembles entropy factorization fock space generating functional gravity hamiltonian systems Hamilton–Jacobi equation heavenly type dynamical systems hidden Hermitian formulations of quantum mechanics Hilbert space linearization hydrodynamic flows idiabatic states integrability integrable dynamical systems interpretations Kirchhoff’s integral theorem Klein–Gordon–Fock equation Lie-Poisson action Lie–Poisson structure linear partial differential equations master symmetry Mathematics and Science Maxwell’s vacuum equations n/a Noether symmetry non-axiomaticity non-stationary Wheeler-DeWitt system numbers para-associativity physical Hilbert space metric Physics Poisson manifold polyadic field polyadic ring polyadic semigroup quantum foundations quantum gravity and the problem of the Big Bang quantum mechanics recursion operator Reference, Information and Interdisciplinary subjects Research and information: general self-referentiality semiheaps separation of variables stationary Wheeler-DeWitt system superposition principle symmetry reduction ternary algebras vector space vortex flows |
| Title | Selected Topics in Gravity, Field Theory and Quantum Mechanics |
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