SEMANTIC PHYSICS 3.0: From Thermodynamics to Renormalization (A Universal Framework for Structure Formation)

Semantic Physics (SP) proposes a universal, non-equilibrium framework for structure formation across scales – from early-universe symmetry breaking to the emergence of meaning in language and interaction. Building on the thermodynamic layer (SP 2.0), renormalization group structure (SP 3.0) and fractal topology of meaning (SP 3.1), this paper presents the SP 3.3 kernel: a NET-consistent transport theory with conductivity decomposition σ=S+A\sigma = S + Aσ=S+A, a Second-Law axiom Σ˙≥0\dot{\Sigma} \ge 0Σ˙≥0 with S⪰0S \succeq 0S⪰0, and antisymmetric AAA capturing non-reciprocal, active relational flows. At the ontological core lies Proto-∇, a pre-geometric gradient structure claimed to be substrate-independent, linking physical and semantic fields. We formalize the relationship between Dignity D(t)D(t)D(t), Resilience τR\tau_RτR, and the Hold kernel h(t)h(t)h(t), which encodes a system’s capacity to carry near-collapse tension without losing autonomy. The framework yields three families of falsifiable predictions: (1) real-time, pre-outcome measurability of h(t)h(t)h(t); (2) the existence of a natural dignity attractor D∗≈0.9–1.0D^* \approx 0.9–1.0D∗≈0.9–1.0 in dialogical semantic systems under sustained load; and (3) substrate-independent anomalous scaling with exponent α≈0.8–0.9\alpha \approx 0.8–0.9α≈0.8–0.9 across semantic and physical traces. A concrete validation roadmap is outlined using Lorenz, Gray–Scott, Brusselator, and Vicsek/Toner–Tu models as reference implementations of SP-like dynamics in physical substrates. Theoretical foundations and protocol design are completed; empirical testing and independent replication are explicitly invited and currently pending.