A Higher-Categorical Framework for Unified Physics

We present a novel axiomatic framework for the unification of quantum mechanics, quantum field theory, and general relativity. The core of the construction is a seven–fold system of axioms formulated inside a cohesive ∞-topos E. These axioms determine an internal ∞-category P≂↷∼ of physical processes that is monoidal, dagger-enriched, CE-linear, and compact-closed, and satisfies descent with respect to covers of space–time. From this categorical structure we recover the full machinery of non-relativistic quantum mechanics—including Hilbert spaces, unitary evolution, the Schr¨odinger equation, and the Born rule—as well as the formalism of relativistic quantum field theory, the Einstein field equations, and a higher-categorical interpretation of quantum gravity. Entanglement appears automatically as the compact-closed structure, and spacetime itself emerges as a colimit of local processes. The framework offers concrete, testable predictions for quantum-gravity corrections, a precise holographic correspondence, and a novel expression for black-hole entropy. It also provides a mathematically rigorous platform for further development of quantum gravity and a coherent ontology in which processes, rather than objects, are fundamental.