ok...I'm really doubting the usability of further discussion.
First, c^2 is a constant area, not volume. Second, increasing the volume of something would involve a multiplication by a unit-less constant. For example, if you have an area of 1 m^2, doubling the area would be a multiplication by 2, not 2 m^2.
Second, why are you singling out nucleons?
Third, what is the volume of a nucleon and what would it mean for the volume of a nucleon to increase?
Fourth, you seem to have a strong bias against mathematics. I'm not sure why. I know it may seem daunting and abstract, but certainly no more abstract than any other form of language or thought. When things are expressed in English, there can be a great deal of ambiguity. Definitions of words are never definite, grammatical structures can be interpreted in a variety of ways, etc. Mathematics allows ideas to be expressed in unambiguous ways.
I strongly suggest a book like:
http://en.wikipedia.org/wiki/The_Road_to_Reality:_A_Complete_Guide_to_the_Laws_of_the_Universe
As it first builds a solid foundation in the language of mathematics. If you'd like something lighter, I think something like Feynman, like "Six Easy Pieces", or QED. The core of the mathematics get explained, but it stays as basic as possible. The ways in which Penrose describes entropy is especially enlightening.
I remember I read a lot of Kaku and Greene when I was young, but it really glosses over the foundation of the theories discussed that it really gets you no closer to understanding the topics discussed, it mearly tickles the brain.