By Harrison D.M.
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It shows how a multitude of initial conditions converge to roughly the same state at the end of in ation. Additionally, the uniformity of regions formerly supposed to be connected only at the initial singularity has been clari ed. Unfortunately, recent observation show that there might be not enough mass to produce a at universe, and without the introduction of a cosmological constant, in ation theory will have to be adjusted (the `bubble universes' variant seems to be a good candidate (cf. 4])).
We will see how three arrows of time, viz. the psychological, thermodynamical and cosmological are intimately connected in this event. Will the thermodynamical arrow of time reverse in this `turn over' point in time? Arguments are various. The main question will be whether this event is improbable or not. But rst I will return to the issue brie y touched upon in the previous chapter when initial conditions were discussed: quantum cosmology. A more detailed exposition of quantum cosmology is necessary since it has important implications for time asymmetry, and the correlation of the thermodynamical and cosmological arrow of time.
Objections against that line of reasoning have been discussed earlier in this paper. 3 A uni ed vision of time An attempt to use (the time symmetrical) chaos theory in grounding the Second Law can be found in the chapter `A uni ed vision of time' in 6] by Peter Coveney and Roger High eld. I will analyze the role chaos theory plays in their derivation. It will turn out that chaos theory is merely used, in combination with the unavoidable uncertainty about an initial state, to undermine Newtonian determinism in predicting the evolution of an ensemble.