Dark Matter and Dark Energy as Emergent Vacuum Phenomena in a Conformal Lorentz Framework

We propose that both dark matter and dark energy arise as emergent phenomena from nonlin-ear vacuum responses when the metric and matter motion are described by the Conformal LorentzTransformation (CLT). Under this framework, vacuum polarization and magnetization modify effec-tive gravitational interactions on galactic and cosmological scales, mimicking dark matter withoutnew particles. Simultaneously, a velocity-dependent vacuum energy component yields acceleratedcosmic expansion in lieu of a cosmological constant. We compare this with existing work on gravita-tional vacuum polarization and modified gravity, deriving observational consequences and testablepredictions.