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A special integro-differential formula (SIDF) of the class of Green'stheorems is established for a pair of functional forms (FFs) defined in a realaffine Euclidean space of any given dimension n>=1 (nDRAES); one of the FFs isthe Green FF for a Poisson equation in the unbounded nDRAES, and the other oneis an arbitrary twice-continuously-differentiable time biased (retarded oradvanced) FF. The SIDF is an identity, which depends on n, but which is notassociated with any specific differential equation for the arbitrary FF. If,however, the latter is assumed to satisfy an inhomogeneous wave equation (IWE)in nDRAES then the SIDF expresses the forced retarded or advanced solution ofthe IWE if and only if n=3. Based on this fact and also on the pertinentproperly defined causality principle, it is concluded that an nDRAES can beregarded as a receptacle of Nature, i.e. as a receptacle of matter along withthe principle of special relativity and also along with all metamorphoses,which occur to matter in time in the irreversible direction from past throughpresent to future - metamorphoses that are called physical, chemical,biological, etc. processes - if and only if n=3.

Non-dispersive retarded interactions as manifestations of unique symmetry of our space associated with its 3-dimensionality