Soliton Model of Consciousness with π-Quantization: A Geometric Bridge Between Stability and Phenomenology

We present a novel theoretical model in which states of consciousness are identified with stable solitonic solutions of a fundamental activation field within a geometric ontology. By reducing the description to a minimal two-component model, we derive a dimensionless *connectivity parameter* σ governing the internal coherence of the soliton. A complete linear stability analysis reveals a critical threshold σcrit = π/4, arising from a periodic boundary condition for the relative phase at the point of marginal stability. This mathematical necessity leads to a set of discrete, phenomenologically significant regimes: unconscious (σ < π/8), phenomenal (π/8 ≤ σ < π/6), reflexive (π/6 ≤ σ < π/4), metastable/critical (σ ≈ π/4), and unstable/psychotic (σ > π/3). We propose an operationalization of the effective parameter σeff from resting-state fMRI functional connectivity graphs and formulate four specific, falsifiable neurophenomenological hypotheses. This work establishes a quantitative, first-principles link between the geometry of brain dynamics and the structure of subjective experience.