Why Do Objects Gain Mass at High Speeds and Seek Minimum Energy?

[oneat]

Do you know what should I read to understand why everything wants to have the smallest energy and why every object which is approaching light speed puts on mass?

 

[Gerenuk]

Actually not everything wants to have smallest energy. It rather wants to have the smallest free energy, which can be one of the 4 potentials in
http://en.wikipedia.org/wiki/Thermodynamic_free_energy
Which one exactly depends on the system constraints.
One can derive from the second law of thermodynamics, that a thermodynamic potential has to be minimized!
So you'd need to read about thermodynamics potentials and even more importantly the so called "availability".

To learn why the mass seems to increase you'd have to study special relativity. Well, the rest mass does not increase. So in fact forget that there is any mass apart from the rest mass (which is constant). The other thing is only energy. It is an outdated view that there is something called mass which increases with velocity.

How much do you know so far? What sort of understanding do you need?

 

[AJ Bentley]

Just those questions and no others?

I would suggest Feynman, Volumes 1 2 and 3.