The difference between May 3rd History and General History lies in the different time range and content.
The "May 3rd History" usually refers to the history of China, covering politics, economy, culture, science and technology, military and other fields from ancient times to modern times.
General history refers to the history on a global scale, covering historical events, culture, science and technology, politics and other aspects in various countries and regions from ancient times to modern times.
Generally speaking, the history of the May 4th Movement and the general history are both important parts of human civilization. Their time range and coverage are different, but they are all records and summaries of human history.