BY Edward R. Close, PhD, PE, DSPE
The purpose of this discussion is to explain why the method of infinite descent, first articulated in modern times by the French Mathematician Pierre de Fermat, is so important to the paradigmatic shift from the simple materialism of the current scientific paradigm to TDVP, the Close-Neppe model of reality incorporating the organizing action of consciousness into the laws of physics. Application of the method of infinite descent to the mathematics of quantum physics has been largely overlooked and/or ignored by mainstream scientists because of the failure to recognize that ‘the calculus’ of Newton and Leibniz, while wonderfully efficient at solving problems on the macro-scale, does not apply at the quantum scale. Integral and differential calculus, called ‘the calculus’ for more than 300 years, has blinded mathematicians and physicists to the fact that it is just one of several possible calculi, and is not well suited to the quantum realm where the substance of reality is quantized.
Newton’s calculus depends upon variables that can be infinitesimally small, that is, they can approach zero. In the quantized world of particle physics, real variables cannot approach zero. Smaller and smaller values have a limit, that is to say they can only approach a finite limit: the smallest quantum. Another way of saying this is that there is a ‘bottom’ to their infinite descent. The power of the method of infinite descent lies in application to finite, quantized reality.