The
dimensions of the vector space
The space has three dimensions identical, differentiated orthogonal.
The properties of the vector space, are the properties of the vectors.
Thus, the orthogonality of the vectors, just like their energy, are themselves,
the dimensions of the space.
So to say, the dimensions are the electric vector, the magnetic vector
and the energy vector.
The dimensions of the vector space are compatible to the euclidean geometry
and riemannian geometry.
With the arrow symbol, the vector brings clarity to the dimensions, but
is leaving its properties inaccessible, found in experiments (orthogonality,
sense, energy).
The structure of the vector space should be a homogeneous vectorial field.
In the homogeneous field, the vectors form orthogonal currents, dimensions
of an heterogeneous structure - the matter.