Civilian police have power outside of their jurisdictions when in “hot pursuit”. I wonder if the same is true for military police.
How could they? They have military security training, not training of the laws and ordinances in the civilian community. Look at it this way:
Martial law involves the temporary substitution of military authority for civilian rule and is usually invoked in time of war, rebellion, or natural disaster. When martial law is in effect, the military commander of an area or country has unlimited authority to make and enforce laws.