Abstract This work develops a fundamental quantum theory of gravity within the framework of the Law of the Unity of Being of the Triune Substance (ZEBTS). In ZEBTS, it is not the metric or a field that undergoes quantization, but hypertopology — the dynamical structure of the hypergraph G*(t), which includes cells of all dimensions, boundary operators, measures, homologies, and the quantum state. Quantum operators of cell creation and annihilation, boundary‑restructuring operators, measure operators, and the quantum entropy operator are introduced. The projection operator Pt is treated as a quantum channel that generates quantum fluctuations of the metric and nonlocal effects. Quantum entropy SQ is shown to be the source of gravity, while the graviton is interpreted as a quantum of topological excitation δ∂₄. A topological model of black holes is developed, in which the horizon arises as the disappearance of the four‑dimensional structure of the hypergraph. The article establishes the foundation of quantum gravity in ZEBTS.