Great thoughts and great emotions. I think I relate to this poem too much. This poem has been penned with a wise way. You can replace "touch' with 'reach' and 'anything' with 'nothing'.

One cannot exist within the same reality
as the other, cannot dimensions entwine?

To be honest, the presence of a question mark made these two lines understanding questionable. Maybe you mean:

Can't one exist within the same reality
as the other, can't it dimensions entwine?

The title in my opinion should be 'Down with shattered dreams' because only the words in brackets should refer to the form of poetry rather than the specification of the title's constituents.

This aside, overall this poem is thought provoking and I loved it. It revealed how much wide is your imagination and translating your feelings into penning.