Quantum cosmology: mathematics times physics. (English) Zbl 1459.83072
Summary: We mention, in general terms, the basic ideas of quantum cosmology (QC) and how such framework can be intertwined with General Relativity (GR). The author aimed to be less technical and focus more on introducing in simple terms some concepts [Quantum cosmology – the supersymmetric perspective. Vol. 1: Fundamentals. Berlin: Springer (2010; Zbl 1219.83004); Quantum cosmology – the supersymmetric perspective. Vol. 2: Advanced topics. Berlin: Springer (2010; Zbl 1219.83005)]. In order to present new advances that may be of interest to readers, we very briefly discuss recent results involving hidden symmetries, showing that specific boundary conditions can be related to the algebra of Dirac observables afterwards associated to the algebra of supersymmetry [loc. cit.].
MSC:
83F05 | Relativistic cosmology |
83C45 | Quantization of the gravitational field |
83E05 | Geometrodynamics and the holographic principle |
81T20 | Quantum field theory on curved space or space-time backgrounds |
81T60 | Supersymmetric field theories in quantum mechanics |
53Z05 | Applications of differential geometry to physics |
85A40 | Astrophysical cosmology |