PQF Algebraic Series – Volume II: Twistor–Kähler Geometry and Chronotopographic Real Slices

This work extends the Possest Chronotopography framework (DOI: 10.5281/zenodo.16734935) by establishing a rigorous Twistor–Kähler foundation for the PQF (Possest–Quasi–Filtration) model and validating it through numerical chronotopographic experiments. Part I develops the full differential–geometric structure of PQF accessibility: the Kähler manifold generated by the torsion potential \Phi_{\mathrm{PQF}} and its associated twistor space \mathcal{T}{\mathrm{PQF}}. Chronotopographic regimes — laminar, turbulent, percolating, sabotage — are reinterpreted as real–slice intersection types of holomorphic sections. Haecceitas is formalised as a holomorphic fixed point, and bifurcation events are defined as precise geometric singularities in the accessibility topology. Part II implements these definitions computationally, directly detecting haecceitas and rhythmic sabotage from \Phi{\mathrm{PQF}}. The simulation confirms the geometric predictions of the theory and bridges the conceptual lineage of Ruyer, Simondon, and Deleuze with a reproducible operational model. The combined result is the first complete integration of philosophical process ontology, Kähler geometry, twistor theory, algebraic topology, and numerical modelling into a single operational system for the analysis and intervention in temporal accessibility. PQF theory · Possest Chronotopography · Twistor geometry · Kähler manifold · Filtration topology · Temporal accessibility · Haecceitas · Bifurcation geometry · Rhythmic sabotage · Process philosophy · Ruyer · Simondon · Deleuze · Differential geometry · Algebraic topology · Numerical simulation