A Preliminary Perspective - From Group Theory to Economics in a Field-Theoretic Framework, and Emergent Justice

Open Question

1. Can the attribute family ${X_i}$ be endogenised — derived from the
   system’s own dynamics rather than imposed externally?

2. If social systems are non-ergodic, what replaces the equilibrium as the
   object of normative analysis? Is justice a topological invariant of the
   trajectory rather than a property of any state?

3. Is the belief state $b(s)$ in a POMDP framework the correct formalisation
   of the epistemic suspension characteristic of boundary states — social facts
   that are simultaneously valid and invalid?

4. Can generative justice be formalised as a functional $J: \Omega^\mathbb{T}
   \to \mathbb{R}$ over the space of trajectories, such that some paths are more
   just than others independent of their endpoints?

5. What is the universal grammar underlying the semiotic exchange across
   incommensurable symbol systems — in forests, in markets, in intimate
   relationships?