Simulation and R&D studies for the muon spectrometer at a 10 TeV Muon Collider

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The Muon Collider (MC) is one of the most promising machines in terms of discovery potential. However, technological challenges arise from muon instability. This paper introduces a novel approach to muon track reconstruction designed to manage the high background levels. In this context, a fast-timing detector is required. This contribution presents the results of R&D efforts on the Picosec detector, a new generation of fast-timing Micro-Pattern Gaseous Detectors (MPGD). Specifically, the results from various test beam campaigns, focused on optimizing this technology for future experiments at a MC facility, are discussed.