  At present we have only the very successful but phenomenological Einstein
geometrical modelling of the spacetime phenomenon. This geometrical model
provides a `container' for other theories, in particular the quantum field
theories. Here we report progress in developing a {\em Heraclitean Quantum
System}. This is a particular pregeometric theory for space and time in which
no classical or geometric structures are assumed, but rather the emergence of
such phenomena is sought.
