Class memory

Is there a way to make a class variable have memory in side it's object?

For instance I create a new object for the class and assign something to a variable inside that class:

$ob = new mine();
$ob->var = 'me';

Now I want that variable to stay constant in that object in memory when I move to another page on the site me be able to call it and get my text back out. Is this possible, let's call it Object memory?

One option is to serialize the object on the first page into a session variable and then unserialize it on the second page.