Thinking of research matrix

I got myself confused to this stage. Here i try to clarify and find my mind. Hope i could get it...

I think i interested in doing a "paradox", or a building that some how root in this concept. But how this could structure my research matrix??
From the video "world builder", the Dream-Sharing Technology give people a chance that they can simply build the world for other people which is not possible in the reality in present.
Then in the movie "Inception", the concept of different levels in the dream creates a mysterious phenomenon. The confusion of people's sense that if they are in the dream or not is an ambiguous and interesting idea. The dream within the dream within the dream... if this really could achieve and share with other people, that suddenly form another dimension of communication and interaction between human being.

Taoist philosoher Chuang Tzu agreed that the levels of dream is a paradox. In the space of dream you wouldn't know if you are awake or still in the dream; "whether I was then a man dreaming i was a butterfly, or whether i am now a butterfly dreaming i am a man".

This paradox was presented in architecture in a model of penrose stairs. The stairs created a loop by connecting the starting point to the end point which achieved a infinitive space in a conceptual world. That some how connects back to the first video "world builder". The infinite space and freedom of building.

Semantic paradonons are statements that lead to an infinite contradiction.
Can i define the architecture paradoxnon that are concept lead to an infinite space or design?

So, can i see the "loop" which starts from the video to the penrose stairs as an other form of paradox ideally?

It achieved in terms of the connection from infinity, however it could not be happened in the real world rather than a conceptual world or a dream.

From all above, i would like to design a building base on this paradox concept which could represent a fourth dimension in architecture ideally. The building will not be a paradox, because it couldn't achieve in nowadays, but it will represent paradox.