The Endomorphic-Collapse as the Foundations of Mathematics-The Bridge Between Quantum Mechanics and General Relativity

Three correspondences between the foundations of mathematics have been independently discovered across the twentieth century. Curry and Feys (1958) and Howard (1969/1980) established that intuitionistic propositional logic corresponds to simply typed lambda calculus. Lambek (1972) extended the correspondence to category theory. Lawvere (1970) and Tierney brought set theory into the structure through topos theory. These results are established and published. What has not been stated is the compositional collapse. The three correspondences confirm that the four foundations are structurally identical, each translatable into the others. The operational order of the cascade composes them into a single directed…