Abstract Starting from the simplest non-trivial structures of quantum theory, a quantum cosmological model is developed in which abstract and absolute quantum information units (AQIs) form the basis of the global cosmic structure. The state space of an AQI possesses the symmetry group U(2), whose subgroup SU(2) is geometrically interpreted as a three-dimensional sphere S3, serving as a model of space. Thus, a closed cosmic space arises directly from the structure of elementary quantum-theoretical degrees of freedom. Starting from a set of global postulates motivated by quantum physics and without resorting to general relativity, relationships between the cosmic radius, the age of the universe, the energy content, and the number of AQIs are derived. This yields the equation of state p = −ρ/3. Within the framework of the Friedmann equations, this also leads to a linear cosmic expansion R(t) = ct. The model thus provides a quantum-theoretical justification for a homogeneous and isotropic cosmos without an additional inflationary phase. Within the framework of the AQI model, various cosmological problems are discussed, including the horizon problem, the coincidence problem, and the observed rotation curves of galaxies. Furthermore, it is shown that the order of magnitude of the Bekenstein-Hawking entropy of black holes can be reconstructed from simple quantum-theoretical considerations. General relativity is retained as a local macroscopic description of local inhomogeneities within a global quantum cosmological structure.
Thomas Görnitz (Sun,) studied this question.