I am not sure to follow (the first part of) your comment.
We actually have a full explanation. This is related to synchrotron radiation, also known as brehmsstrahlung radiation. The electron emits radiation and thus looses energy. It consequently spirals around the nucleus, getting closer and closer (as a smaller speed means less compensation of the electromagnetic force). This is why orbits in Rutherford's model are said to be unstable.
You post describes a framework based on an assumption that seem not to be favored by data (the infinite substructure stuff). There is indeed so far no sign of any substructures for quarks. (maybe should this be discussed elsewhere as this is off topic with respect to my QM post :p ).
Thanks. I guess my point is that the electron losing energy when it emits radiation is also due to it being radiated upon to gain energy, thus a balance is maintained. It's ok just checking :) Thanks for your response!
My pleasure. I will try to visit and comment your posts later to initiative a discussion (I am pretty busy those days, so please be patient :) ).
How would the electron gain energy here? We are not in a collision process where an external source could bring something.