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Spacetime is represented by ordered sequences of topologically closedPoincare sections of the primary space constructed of primary empty cells.These mappings are constrained to provide homeomorphic structures serving asframes of reference in order to account for the successive positions of anyobjects present in the system. Mappings from one to the next section involvemorphisms of the general structures. Discrete properties of the lattice allowthe prediction of scales at which microscopic to cosmic structures shouldoccur. Deformations of primary cells by exchange of empty set cells allow acell to be mapped into an image cell in the next section as far as mapped cellsremain homeomorphic. If a deformation involves a fractal transformation toobjects, there occurs a change in the dimension of the cell and thehomeomorphism is not conserved. The fractal kernel stands for a "particle" andthe reduction of its volume is compensated by morphic changes of a finitenumber of surrounding cells. Quanta of distances and quanta of fractality aredemonstrated. The interaction of a moving particle-like deformation with thesurrounding lattice involves a fractal decomposition process that supports theexistence and properties of previously postulated inerton clouds as associatedto particles. Experimental evidence and further possibilities of the existenceof inertons are proposed.

Scanning the structure of ill‐known spaces: Part 2. Principles of construction of physical space