I spent quite some time on the Xi Calculus and got pretty much lost in the higher dimensional space. Maybe this job is for someone else, and Stanislaw Lem (Golem XIV) probably knew that even machines might get lost while tackling that topic.
I call this the Kant-Space:
- the separation of space
- the sequence of time
- cause and effect
- an Ego which observes this
derived from Immanuel Kant's Critique of Pure Reason.
It is basically about an FTL-Philosophy, a logic beyond cause and effect:
- 3.5 dimensional, time moving forward
- 4 dimensional, time moving forward and backward
- 5 dimensional, time moving sideward, parallel universes, the possibility-space
- 6 dimensional, sideward mirrored, the impossible-space
Basic assumption would be that our observable universe is pretty much a "white hole" inside of an black hole, space and time are an illusion to us humans, relations between entities, causalities between events, and operations between numbers are all constructed from an anthropocentric point of view.
I myself was not able to figure a way how to expand the 3.5 dimensional sequence of cause and effect onto higher dimensions, but mentioned the MiniMax algorithm by von Neumann, exploring a higher dimensional space with 3.5 dimensional causality, moving always forward, but changing its direction in the game tree.