This paper provides an integrated perspective on the generative-diffusion model by linking its dynamical, information-theoretic, and thermodynamic properties within a unified mathematical framework. We show that the conditional entropy generation rate (generation bandwidth) during the generation process is directly controlled by the expected divergence of the score function vector field. This divergence is linked to trajectory bifurcation and generation bifurcation, which is characterized by symmetry-breaking phase transitions in the energy landscape. This synthesis provides the powerful insight that the generation process is essentially driven by controlled, noise-induced symmetry breaking, with peaks in information transfer corresponding to critical transitions between possible outcomes. The score function acts as a dynamic nonlinear filter that modulates the bandwidth of the noise by suppressing fluctuations that are incompatible with the data.