The Quantum Field as a Continuous Recursion Medium

Quantum field theory is the most precisely verified framework in physics — QED
predictions match experiment to twelve decimal places — and this paper does not
challenge its results within their domain of validity. Instead, it develops the geometric
substrate from which quantum field behaviour emerges in the Cohesion Unified Field
Theory. The quantum field is interpreted as a continuous recursion medium: a pressurebearing substrate whose local torsion density, curvature, and recursion rate determine
propagation, interaction, and collapse. Wave functions are recursion patterns in the
medium; particles are stable closure modes of recursion established in the particle
physics papers of this series; entanglement is shared structural time and collapse is
structural time synchronization as established in the quantum measurement paper. The
new contributions of this paper are: (1) the vacuum as the recursion ground state of
the medium, providing a pressure-bounded account of vacuum energy that avoids the
vacuum energy catastrophe; (2) a unified table of all four interactions as torsion density
or phase alignment effects in the same medium; and (3) propagation as pressure-driven
recursion, unifying wave propagation, particle motion, and field excitations under a
single mechanical rule. This is the first unified geometric ontology of the quantum field
within the Cohesion UFT framework.