Subject Development and Knowledge Emergence: A Group-Field-Theoretic and Effective-Field Framework

This position paper develops subject development and knowledge emergence inside a background-independent field-theoretic framework. A group field over a declared group generates combinatorial relational histories; an individual is a subcomplex of such a history, and coarse-graining supplies an effective action whose order parameters carry developmental description. An intersubjectively stabilized order, here called nomos, appears as a condensate order parameter rather than as an imposed background. Reciprocal individual–nomos formation is derived as a Dyson resummation: the loop operator is a self-energy insertion, the convergent expansion counts individual-to-field round trips, and failure of the small-gain condition acquires positive content as the onset of a collective mode. Normalized aggregation yields a conditional single-agent scaling result recovered as the leading term of a 1/M expansion. Symbolic attachment is treated as symmetry reduction: before attachment the effective action is invariant under a semiotic relabeling group and its minimizer set has flat directions; explicit breaking by an existing nomos produces pseudo-Goldstone directions whose gap grows with the intersubjective field, while spontaneous breaking in a peer group selects an arbitrary convention with an exact soft direction. The resulting semiotic gap supplies a measurable plasticity variable and a nontrivial developmental prediction. Symbol emergence receives a dynamical criterion through configuration substitutability, restated as vertex matching, and symbolic mediation is the conditioning of the effective action on a symbolic background field. Knowledge is treated as a history-conditioned change in the effective action's generative repertoire, kept explicitly distinct from the effective action itself and from justified attribution. A closed-time-path reduction supplies real-time memory and noise kernels. The substrate is a declared ontology; phenomenology, personal identity, semantic content, and quantum ontology remain open.