CRITICAL DYNAMICS OF COHERENCE EMERGENCE: Toward a Formal Thermodynamics of the Coherence Field

The Theory of Informational Spin (TGU) postulates coherence as the foundational principle distinguishing existence from non-existence. A central unresolved question concerns the precise boundary between these regimes: what governs the transition from subcritical fluctuation to self-sustaining coherent structure? This paper proposes a formal treatment of coherence emergence as a phase transition, introducing a scalar coherence order parameter Ψ governed by Ginzburg-Landau-type dynamics. We distinguish physical time from a pre-temporal ordering parameter τ applicable below the coherence threshold. We argue that the fractal geometry observed in natural coherent systems arises naturally as a consequence of self-organized criticality near the phase boundary. This framework constitutes what we identify as the necessary theoretical core of the TGU program: not a cosmological extension, but a fundamental thermodynamics of coherence itself.