Metaverse aims to blend physical and virtual worlds for next-gen web and social networking apps using technologies like extended reality, digital twins, AI, and Blockchain. However, energy-inefficient extensive resource interactions hinder their large-scale deployment for low-cost mobile users and create challenges for next-gen URLLC services. Digital twin (DT) and mobile edge computing (MEC) have emerged as potential solutions to manifest the realistic deployment of the metaverse and minimize total computations and end-to-end latency. RIS has been identified as a key enabler for smart propagation environments, which significantly boosts channel gain diversity and improves MEC performance w.r.t. energy and spectral efficiency, task offloading rates, e2e delay, computations capabilities, etc. DT-enabled metaverse architectures are contemplated as a holistic digital mapping technology for intelligent resource allocation and network management, while RIS-aided communication captivat...