In unpublished daily notes about the evolution mechanism I wrote a few days ago that when different structures compete with each other, the one that contains the best symmetry will win. Because that structure can be reshaped and retain its stability when encountered with things that imbalance the structure, the team’s main objective in the platform should be to design symmetries that produce flexible structures.
The same is true about evolution in nature. These two expressions are equivalent:
A) Observable mutations with beneficial effects are more likely to be passed on to the next generations.
B) systems with better symmetries are more likely to be passed on to the next generations because they can retain the stability of the system when exposed to environmental factors. So mutations that are part of better symmetries are more likely to spread.
Although two expressions are equivalent, the math language to express the second one is totally different from the first one. So by expressing the same thing in a different way the scientific path to develop that idea into a theory may change. Here, a version of group theory is required to study expression B. The first step to developing an evolution theory based on expression B is to construct a suitable math structure for this purpose.
This platform/game aims to develop such a math structure. Conventionally math structures are built from button-up, meaning that first axioms and definitions are defined and then results are deduced from them. Things are different in this game. Each team constructs a symmetry that is a part of a larger symmetry. There will be back-and-forth interactions between different elements, and the aim is to evolve the most efficient encoding systems that link those elements. This is still a vague idea, but the main point is that in this game the math structure is not a rigid concrete-like structure rather it evolves into more and more efficient structures over time. This is similar to numerical analysis where results are estimated with better and better precision.