The arrow of time in an expanding 3-sphere

摘要

An adapted version of the semiclassical 3-sphere tunneling model is applied to a quantum cosmology scenario that features nucleation at the Planck energy density limit and a radiation-dominated phase that slowly transforms into a matter-dominated phase. In the classically allowed range, the closed spherical geometry of the model is constrained topologically to define a "late-blooming" Einstein-de Sitter universe with locally perceived flat space-time and expansion-synchronized time-flow. The predicted time-flow attributes of this model are then used as a basis to evaluate how well-observed values of age, Hubble flow rare, and deviation of Hubble law as a function of brightness compare with those of the model. It is shown that, although there is strong agreement between observed data and the predictions of the model to support the view that time-flow is expansion synchronized, improved resolution on Hubble flow-rate measurement is required for a definitive conclusion. A process level connection between 3-sphere spatial expansion and locally observed CBR plane-wave spreading is made in terms of an observed expansion-caused transformation of space-time. This gives evidence to illustrate how expansion of the 3-sphere can serve as the causal basis for the "arrow of time" dynamic seen locally in the propagation of electromagnetic fields. [References: 45]