What you will discover is that the "collapse" begins like a standard controlled demolition of a 14 story building. It fails at floor 96. 97 and all above come down to 96. Then 98 comes down to 96. Then 99 comes down to 96. Then 100 comes down to 96.
A standard demolition that begins 4/5 of the way up a building? What exactly is standard about destroying the top 14 floors of a building and then having it collapse top-down?
During this time, the stucture below 96 does not move an inch. Only after the upper 14 floors are about half their original height does the next phase begin.
Even if what you say is true, how does the compression of the top floors to half their height change their mass? I can make a little tinfoil hat and then compress it into a ball, but it will still have the same mass. Thus, the energy that it can generate will remain the same.
However, what you say about the top 14 floors being compressed to half their height and the rest of the building not moving an inch is false. It is false for the following reason:
YOU DO NOT HAVE X-RAY VISION.
You have no idea what is going on behind the skin of the building. In fact, the towers collapsed from the core outward. Instead of a steel skeleton, the towers had floors tethered to a central core. As the core collapsed, it pulled the building in on itself. It also damaged the steel skin of the building last.
This means two things: One, the floors were not "compressed" to half their height as you claim. They were pulled in and down so that they sagged well below the 96th floor line before they appeared to cross that line from the outside.
Two: Most of the mass of the building remained with the building. Drywall, dust, papers, some concrete and heaven knows what else produced huge dust clouds, but the mass of the building was preserved during most of the collapse.
Unless you can see through smoke, dust and steel, you cannot dispute this. I mean, you will dispute it but you'll be wrong.