Rob, I salute you, you got it!
When an aircraft reaches the speed of sound-around 760 mph, less at higher altitude, the particles of air cannot flow around the aircraft-they are compressed into a barrier of air. Prop aircraft and early jets were not powerful enough to penetrate the "sound barrier".
It gets more difficult-as the speed of sound varies by altitude, 760 mph at sea level would be around 100 mph more above the speed of sound at 35,000 feet, for example. This required a new system of measurement-the basic unit- the Mach which was named after Dr. Ernst Mach of Austria. He early on investigated ballistics, with Mach 1 being the speed of sound-independent of altitude. Mach 2 being twice the speed of sound, etc. Speeds of sound from Mach 2 twice the speed of sound were independent of altitude. Any speed of Mach 1 through Mach 4 was called supersonic; hypersonic referred to speeds at Mach 5 and above.
Again, I thank you! and I would like to read your book!