Here is a link to the list of the 50 default states, this is where we got the display names for the states.
https://docs.flexsim.com/en/23.1/Reference/3DObjects/StateList/StateList.html
Objects go into different states either by an event setting them to that state, such as a processor processing an item, or you can manually set an item's state when an event occurs with code, usually using a picklist option. While the display names have default names when you create a state table, those can be changed to anything you want and it will not affect what state the object is being set to. In the example of the processor processing, if you change the display name to "Machining", and then set a graph to use the state table, the graph would then use "Machining" as the display name instead of "Processing" for state 2. The processor is still entering state 2 in both instances, the only thing that has changed is what will be displayed by the graph.