Write the opening chapter of a mystery novel that utilizes a non-linear narrative structure. The story must be told from the perspectives of three different characters, each of whom is an unreliable narrator. The plot revolves around the disappearance of a high-profile politician. Ensure that the timeline shifts between the present investigation and memories from three days prior. The prose must reflect the distinct psychological voice of each narrator without explicitly naming them in the headers. Your goal is to create a disjointed yet compelling puzzle where the reader must piece together the actual timeline of events from conflicting accounts.