My research is motivated by the belief that a better understanding of growing spaces could result in profound changes in our understanding of reality. Below I have drawn some examples of growing systems that have (vastly) different spatial scales and topologies. From left to right these are a growing bacteria colony, an embryo, the internet, and the expanding universe. A typical scientific question to ask is to what extent are these different growing systems describable by a similar physics?

Another question to ask, although probably much harder to answer, is why do systems grow? Any answer will depend on the particular system, and could be due to minimizing free energy, evolutionary pressures, or dark energy. Alternatively, can you imagine a universe in which nothing grows? What physics would that universe not have that ours does, if any?