Hyperdimensional Geometry and the Nature of Physical Spacetime

This note is an attempt to draw attention to the widely opened possibilities which elementary, but non-classical, hyperdimensional geometry could offer to model and explain, in a simple way, the actual reality of the physical world on the subatomic level. Spacetime will not be considered here as a simple, finite dimensional continuum. It is argued that a much better and a far more accurate description of space and time is that they arise from a probabolistic averaging process over all possible spaces with all conceivable dimensions as a finite expectation value of an otherwise infinite dimensional transfinite substratum, which is underpining the directly observable spacetime continuum of classical macrophysics.