Actual Infinity in Reality?

[Jenny A]

I am not asking if there is a concept in mathematics that deals with infinity or if there exists sets with an infinite number of members (although you might use the concept in a larger argument). I am not asking if we can theoretically divide something an infinite amount of times (although you might use the concept in a larger argument). I am not asking about a potential infinite. 

I am asking about an actual infinite of something concrete (not abstract). Can it logically exist? Why or why not? 

No mention of God either. Philosophy subforum--let's stick with pure metaphysics.

Anything may exist as a posibility unless there is an inherent logical contradiction built into the possibility of it's existence. For example, invisible bachelors might exist (though not probably) without defying logic, as might 1000 year old bachlors. But married bachlors may not logically exist. What exactly is it about an infinity that makes you think it is logically impossible? And why do you think an infinite number of objects or time is illogical but an infinite division of an object or period of time is not?