Dude:
I was in the perfect position, on the barge at the Brooklyn Navy Yard to see the planes hit. I actually saw the first plane fly toward and crash into the North Tower; not on TV, but with my own eyes. I remember it VERY WELL. I can assure you, there were planes, and I didn't see any "JPEG particles."
Planting explosives in a buildings this size is something that can't be done overnight. You would have to open up the walls and ceilings and button them up before the people show up for work in the morning. Parts of the building were occupied 24/7. You would think that in an office complex where tens of thousands of people work someone would notice.
My sister worked for the engineering company that kept track of electrical and mechanical changes tenants make when they move in. In the months before 9/11 she physically traced every electrical, control, and data circuit, every hot, cold, drain, and chilled water pipe, and every air duct in the entire complex. She was in every electrical and mechanical room, on every utility floor in the towers. Anything that was out of the place or anything that didn't belong there would have been glaringly obvious.
You say the planes were made of aluminium. That's true. Throw an empty soda can off the observation deck of the Empire State Building and see what happens to the person it hits on the ground. Now imagine what 200 tons of aluminum and jet fuel moving at 500 miles per hour would do.
You say that the buildings were made of steel. That's true also. But unlike most other skyscrapers which use the "square set" skeleton, WTC towers were built to provide column free space on every floor. To do that the engineer designed the structural system of central concrete core and perimeter columns. To save weight, the floor slabs were supported by thin trusses instead of large I-beams. These trusses also provided the lateral support for the columns. The corrugated steel decking and concrete provided rigidity to the floors. At the Observation Deck in the South Tower there was an exhibit on how the towers were built, and part of the structure was intentionally left exposed.
People who say that the fire could not melt the steel have never taken the Strength of Materials class in college. One week into the course you learn how the steel expands when heated. About four weeks into the course you learn how the high temperature affects the strength of steel. The steel didn't have to melt, all it had to do is get hot and expand. As the floor trusses that were rigidly connected at both ends expanded they had buckled, removing the lateral supports for the perimeter columns.
In the second week of the Strength of Materials course you learn how the columns that are too long buckle without lateral support. This is what happened here.
You say there were JPEG artifacts around the moving plane. Of course there would be. You are looking at a slow motion video of a fast moving plane. The plane is moving faster than the camera shoots, so the picture of it in every frame is smeared. The buildings in the shot are not moving so they are not smeared in the frames.
You say: "plane doesn't loose a single appendage as they go into the building(sic)." Usually the planes do not break up until after the impact. As the planes crashed through the outer columns they did break up and debris continued through the building to exit on the other side.
You might want to pay attention to the yada yada yada part, because your mother IS telling you the truth, you're just not listening.