Quantum Gravity from Entropic Operator Dynamics: A Unified Approach to Mass, Charge, and Spacetime

We present a novel operator-based framework for quantum gravity in which mass and charge are unified into a single complex operator Z = M + iQ, with the real part representing mass and the imaginary part representing charge. Gravity emerges as an entropic, macroscopic manifestation of microscopic quantum degrees of freedom encoded in the diagram Hilbert space. Electromagnetism arises naturally from the imaginary component. By projecting Z onto macroscopic spacetime, we derive Einstein’s field equations and Maxwell’s equations from first principles. We explore implications for dark matter, dark energy, black holes, and the quantization of gravity, highlighting a consistent theoretical connection between the microcosmos (QCD-like interactions) and macrocosmos (spacetime dynamics).