Actual Infinity in Reality?

[polymath257]

There are a few misunderstandings here. First, and trivially, events don't create spacetimes. Spacetimes are made out of events.

I think that is wrong. The standard model most ascribe to has a change in the singularity that resulted in the spacetime manifold we experience now. 

Second, the sequence of spacetimes in the Penrose model are each internal to the previous. Again, there is no beginning to the sequence and the 'overall' manifold is not one of the spacetimes, but a sort of multiverse with time going infinitely into the past.

And, yes, there was an infinite sequence into the past in this model, necessarily. So you are (again) wrong about the difficulty of an infinite past. And yes, an infinite number of prior states happened. So? 

Where is the contradiction to an infinite number of prior states having happened? If at each time, that is always the case, there is no contradiction.

To get around the problem I brought up, all of those sequential spacetime manifolds (see where I quoted) have to already exist. That does not seem to be part of the theory. Please address this problem specifically. Most of your statements just seem to be assertions and not part of the model.

First, the singularity is NOT an event: it is a failure of the coordinate system to describe a situation. In this case, if you use standard general relativity, it describes a limit of infinite curvature.

Yes, it actually is part of the theory that the *previous* spacetimes already exist.