Abstract The remaining useful life (RUL) prediction of aircraft engines is challenging due to strong, time-varying correlations among multivariate sensor signals. This paper presents TVAE-HybridGAT, a physics–data fusion framework combining a Temporal Variational Autoencoder (TVAE) with a static–dynamic hybrid graph neural network to jointly model temporal evolution and sensor interdependencies. The TVAE encodes multivariate time series into a probabilistic latent space to obtain robust temporal features. A static graph derived from physical priors captures stable structural relationships, while a dynamic graph computed from the TVAE latent features captures transient, emergent sensor couplings. A multi-head graph attention module adaptively fuses the two graphs, emphasizing informative connections and reducing the influence of noisy or irrelevant links. Experiments on the C-MAPSS and N-CMAPSS benchmarks show that TVAE-HybridGAT attains strong and consistent RUL prediction performance across datasets, demonstrating the benefit of combining physics-informed structure with data-driven, adaptive graph learning.