This paper establishes an explicit correspondence between the non-perturbative quantum core framework and perturbative quantum gravity. Virtual quantum core excitations---Planck-scale fluctuations of the entanglement thread network in the quantum core framework---are identified as the microscopic origin of gravitons. The full set of graviton equations is derived directly from the network dynamics: the Klein-Gordon equation for entanglement deficit, the linearised Einstein equations from network coarse-graining, the Fierz-Pauli action, the graviton propagator from entanglement correlations, and the complete graviton mode expansion with creation and annihilation operators. The weak-field Schwarzschild metric is recovered from the coherent summation of virtual graviton exchanges between a point source and the entanglement network. Gravitational waves are described as coherent states of gravitons, with squeezed states enabling sensitivity beyond the standard quantum limit. The predicted tensor-to-scalar ratio r≈0.004r≈0.004 is linked to the graviton vacuum correlator, connecting the framework to primordial B-mode polarisation in the CMB. The graviton is thus reinterpreted not as a fundamental particle but as an emergent collective excitation of the quantum core network---a phonon of spacetime. The framework bridges perturbative and non-perturbative approaches to quantum gravity while providing a complete ultraviolet completion. No new fundamental fields are introduced; the derivation uses only the three constants GG, cc, and ℏ.
Wengang Yu (Thu,) studied this question.