Your question suggest you don't yet know the basic science
nor the reason why these limits exist. In simplest times, the
naive complained that copper wire was a speed limiting
factor. They were wrong. Speed limiting factor for modems
(on POTS systems) is the switching computer inside the telco's
toll station. The fundamental science was defined by Claude
Shannon in the Bell Labs in 1948 (back when the Labs were run
by people who had science backgrounds). To you, this means
that 56K will be the best speed theoretically possible without
completely changing hardware in that switching station
computer.
BTW, what made 56K modems able to do up to 53K? Eliminate
only some hardware in the switching computer - an A/D
converter.
Of course Clayton Christensen defined the underlying concept
in his book Innovator's Dilemma. Disruptive innovations
simply change your question to be myopic and irrelevant.
British Telephone was demonstrating DSL in 1981. IOW long
before even 56K existed the telephone switching computer was
being obsoleted by a disruptive technology. That means
scrapping the entire $multi-million computer that most
switching stations only replaced in the 1980s and 1990s. You
can see why Baby Bells so feared broadband and why Congress
had to pass the 1996 Communications Act to force them to
innovate.
Isenberg best defined this in his AT&T Bell Labs paper about
the 'Smart and Dumb' networks. The Dumb network being a
superior solution. But again, AT&T so routinely stifled
innovation that Isenberg could not even put that paper on his
own web site. You can find it through
http://www.isen.com .
IOW that 'easy to read' paper may better demonstrate why your
56K modem question is about promoting obsolete technology.
I can't say enough about the concepts promoted by both
Isenberg and Christensen. Concepts that too many computer
users still don't appreciate. But underlying your original
question are technical limits defined by Shannon's epic paper
"A Mathematical Theory of Communication". So understated and
yet so revolutionary to digital communication.