Contrary to the commonly-held belief, today's mathematics, for the most part, is a non-exact science, as singularity is inherently built into its formalism, i.e. division by zero; inconsistency rules Hilbert's formal axiomatic system (Godel's theorem); and it is incomplete (Turing's halting problem, which is further endorsed by Chaitin's study of randomness in pure mathematics). The fact that many branches of applied sciences employ this formalism leaves not much room for high expectations from them.

Physics, in particular, is fully dependent on this formalism, which explains the myriad of physical theories -all with limited scopes and often contraversial pronouncements, e.g. Big Bang, Standard Model, Superstrings, dark matter, inconsistencies between the relativity and quantum theories, and the mirage of GUT and TOE. It says a lot that almost one century of contemplation and research have failed to offer any logical explanation for the simple double-slit interference phenomenon.

As Bell pointed out, the concern with quantum mechanics is not that one day an error will be found in its predictions, but that this theory is not the whole story -if it does one thing, it is to reveal the incompleteness of our worldview. Thus, a fundamentally different paradigm is needed if a logical analysis of reality is intended. At the end of the day it is we human beings that want to understand the reality, and that can be done if our theories comply with the same human logic.

I have been researching into the nature of these problems and the structure of spacetime matrix since 1996. This involves using a new mathematical approach that allows modelling the newly- defined fundamental units of spacetime and their evolution process. Experiments are now being conducted using a novel system to manipulate the matrix. Potential applications include nanotechnology, cell-differentiation in stem-cell studies and low-temperature fusion.