Can the RSM be proven?
This is an interesting question. The RSM is a new system of mathematics, not a new mathematical theorem in the legacy system of mathematics (LSM), just as the RST is a new system of physical theory, not a new theory in the legacy system of physical theory (LST). Therefore, the question really should be “can RSM theorems be proven?” The answer to this question is presumably yes, because the properties of the system are the properties of scalars. Thus, set theory, group theory, etc, should apply as well to the operationally defined reciprocal numbers (RNs) of the RSM, as they do to the quantitatively defined number systems of the LSM, but this remains to be demonstrated, at this time.
