A New Mathematical Methodology For General Systems:
System Matrix Notation (SMN) provides for the representation, analysis and
simulation of general systems.
"SMN Particle Simulator v3.1" is a simple example implementation of SMN in the
context of systems of particles (as a general proof-of-concept for the
mathematical methodology). The program allows one to easily create and
interact with systems of particles as one watches them evolve on the screen.
In general any type of system can be modeled and future versions of SMN will
allow for arbitrary general systems and advanced analysis techniques.
To view screen shots, download the software or read more information see:
www.Anandavala.info/TASTMOTNOR/code/v3.1/SMNPS3_1.html
Other types of system models are illustrated on the website including quantum
logic circuits, an idealised spring, a drink machine and so on. One can also
use SMN for general software engineering. Furthermore, the unified
mathematical foundation allows for seamless integration of different systems
by merging their matrices into a single matrix.
Some advanced techniques are also discussed, one technique allows one to
derive the causal logic of a system by defining its subsystem connectivity and
by observing its behaviour. Or one may map out a system's entire potential
state space (for example, in software one could locate any possible error
condition and thus make guaranteed "faultless" software). Or one can utilise a
form of "warp drive" for general information processes that allows for
considerable acceleration in certain conditions (e.g. in some cases a
computation that may take millions of iterations can be computed in a single
iteration).
The source code is readable within the program distribution files and there is
a considerable amount of peripheral information on the website, including
detailed mathematical discussions on the core algorithm (and some of its
implications) and general discussions on the many conceptual issues involved.
The methodology can be quite a brain bender to begin with, especially if one
is coming from a materialist perspective, however once one has familiarised
oneself with the concepts and undergone a metaphysical paradigm shift into an
information theoretic perspective then the methodology exhibits great
conceptual elegance and power.
Any comments, questions, suggestions or assistance would be greatly
appreciated.
Regards,
John Ringland
john.ringland[at]anandavala.info
Note: All aspects of this work are free from any legal restrictions, whether
intellectual property or copyright.