Growth and Form

We introduce a generic model for space-time where time is just a totally ordered set ordering the states of the universe at moments where over (not in) each state we define potentials or pre-things which are going to evolve via correspondences between the momentary potentials to existing things. Existing takes time and observing takes more time. The theory developed is generic in the sense that existing theories like Relativity and Quantum Theory are obtainable by specialization, that is by introducing more assumptions, such as measuring by numbers. In each state we may assume a topology or geometry and the most generic is a non-commutative topology, the correspondences are assumed to satisfy minimal process conditions which will allow to let them evolve to “change” which can be observed. It is essential to define existing by some manifestation at some suitable time interval – called an existence interval – allowing mutations when existence intervals of the same process are not consecutive but separated by some intervals of non-existence. Since something exists “at” an interval and not in any moment our theory of the “existing reality” has a certain discreteness which is enhanced in “observed reality” but which includes the existence void – where processes of potentials on short time intervals are brewing the future existing events – there is “continuity on the moment level”. In the three versions of reality, we have now causality is not behaving as assumed in observed reality and that is the main reason for the new paradigms that evolve. We show how our model (the dynamic interval-moment model) allows to obtain elegant explanations for several counter-intuitive effects in quantum theory; we will also hint at some drastic philosophical impact on interpreting events in this model of the universe.