7. E. J. Bacinich, T. A. Kriz, The Arrow of Time in an Expanding 3‐Sphere

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Volume 12: Pages 80-91, 1999

The Arrow of Time in an Expanding 3Sphere

E. J. Bacinich 1, T. A. Kriz

Alpha Omega Research Foundation, 1048 S. Ocean Blvd., Palm Beach, FL 33480 U.S.A.

An adapted version of the semiclassical 3sphere tunneling model is applied to a quantum cosmology scenario that features nucleation at the Planck energy density limit and a radiationdominated phase that slowly transforms into a matterdominated phase. In the classically allowed range, the closed spherical geometry of the model is constrained topologically to define a “lateblooming” Einsteinde Sitter universe with locally perceived flat spacetime and expansionsynchronized timeflow. The predicted timeflow attributes of this model are then used as a basis to evaluate how wellobserved values of age, Hubble flow rate, 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 timeflow is expansion synchronized, improved resolution on Hubble flowrate measurement is required for a definitive conclusion. A process level connection between 3sphere spatial expansion and locally observed CBR planewave spreading is made in terms of an observed expansioncaused transformation of spacetime. This gives evidence to illustrate how expansion of the 3sphere can serve as the causal basis for the “arrow of time” dynamic seen locally in the propagation of electromagnetic fields.

Keywords: arrow of time, expanding 3sphere, FriedmannLemaiˆtre model, inflation scenario, minisuperspace, quantum clock, quantum cosmology, semiclassical model, semieternal inflation, temporal flow, time, time dynamic, tunneling wavefunction, WheelerDe Witt equation

Received: June 12, 1998; Published online: December 15, 2008