Topological Suppression and Quantum Field Theory Axioms

A probability measure on the configuration space of Yang-Mills fields is constructed, incorporating topological suppression via a tensorized knot invariant. Discretization of the space of framed knots and the introduction of an energy functional with a topological term enable a rigorous establishment of the existence of a continuum measure that exponentially suppresses configurations with high topological complexity. The approach is grounded in probability theory on infinite-dimensional spaces and provides a mathematically robust framework for topological suppression in quantum field theory.