The little bit of information I gave comes directly from Dr. Warren Phillips book "Mechanics of Flight"... arguing against that is like disputing that the sun will continue to rise.
I get the feeling you misinterpreted what Mr. Phillips was talking about but you would have to provide a direct quote from the text.
Mach Tuck is well understood now and causes nose down pitch in every airplane that gets the flow over the wing supersonic.
Once the shock wave develops on top of the wing, the center of pressure moved aft resulting in the nose down pitch. The center of pressure moves so far aft that the elevator usually does not have the required aerodynamic authority to raise the nose. In addition, the tail itself quickly will enter transonic flow regions shortly after the wing, exacerbating the problems for the pilot. The issue with the P38 was that nearly all of the bad stuff happened simultaneously. Once into a Mach tuck situation the loads on the aircraft become extreme very quickly. The role of the horizontal stabilizer is to provide down force while the wing provides up force.
All of this pivots on the center of gravity. The shock wave moving the center of pressure aft, away from the CG puts tremendous, increasing force in opposition with the down force of the horizontal stabilizer. The wing over powers the tail. It is the stronger structure by far and is capable of generating a lot more aerodynamic force. And the situation only gets worse.
High speed causes the nose to tuck, causing higher speed, causing the nose to tuck more until the aircraft hits the ground or the tail breaks off.
Here is an excerpt from an accident report. Sounds a lot like a P-38.
If a pitch upset occurs near M the airplane can accelerate rapidly
into a region where the flying qualities are unacceptable. Consider, for
example, any type of nose down pitch axis malfunction (such as trim
runaway, pusher hardover, autopilot hardover, etc.). In this case, if the
pilot restrains the control column, the pull force can go as high as
50-60 lbs. (80 lbs. for pusher malfunction.) Because of pilot reaction
time (3 seconds according to 8110.10), -10/ the speed will have increased beyond the limit Mach number. If the pilot follows the AFM procedure for overspeed and deploys the spoilers (which is instinctive), the required
pull force will increase an additional 50-80 Ibs.
Also, because of the pitch instability due to Mach tuck, the pull force will continue to increase as speed increases. Adding the maneuvering stick force to required to pull 1.5 g, the total pilot force required for recovery can be
as high as 150-200 lbs.
The stick puller was installed to prevent Mach overspeed, but in the
event of a nose down pitch axis malfunction, and/or deployment of the
spoilers, its 18 lb. pull becomes insignificant. At some Mach number beyond M the elevator effectiveness will
decrease due to shock wave formation. Additionally, stretch in the longitudinal control system at very high control forces can negate any further elevator deflection in the recovery direction.
From a 1981 Lear 24 accident.
http://www.airdisaster.com/reports/ntsb/AAR82-04.pdfThe major issue seems to be what is the cause and what is the effect.
The shock wave created by supersonic flow over the wing moves the center of pressure aft resulting in the nose down pitch and difficulty raising the nose using a conventional elevator. This is the initial causal factor.
The results of this "Mach Tuck" bring ever increasing stress on the airplane, especially the tail, resulting in a bad situation getting much worse for conventional airplanes designed in the 30's and 40's. Many things were tried to correct the problem.
To this day aircraft are designed to avoid mach tuck to varying degrees because ALL aircraft experience a nose down pitching moment when the wing passes through the transonic region. On subsonic jets critical mach is avoided to the extent most aircraft have automated systems to prevent over speed.