President Trump has no constitutional authority to rename New Mexico, as the state's name is enshrined in its constitution and any change requires approval from the state legislature and voters. In early September 2026, Trump amplified social media maps and AI-generated videos suggesting "New America" as a replacement, following his earlier executive orders directing federal agencies to use "Gulf of America" and "Lake America" for other geographic features. New Mexico's Democratic governor and congressional delegation immediately rejected the idea, citing the name's historical roots predating both the United States and modern Mexico. With the state firmly in Democratic hands and no formal proposal advanced, traders price the probability of any qualifying Trump directive by late 2026 at low single digits.