The dimensions in this case are pretty clear unless you want to argue why they aren't the universes. The world of the living represents our irl universe and the SS is a dimension that mirrors it in size. We see both realms shaking with Senjumaru's feat and even if you want to low ball it, it's more than planetary since we see stars, the moon, etc, in both realms.
This is done via her reiatsu/AP while using her true power and Ichigo scales above Senjumaru in base.
It's better to wait and see what the anime does since it's already changed a few things in terms of story/lore and powerscaling.