ABSTRACT

With the assumption of time and space not being truly continuous, one has to realize that there must be a connection between Fermat’s last theorem and quantum theory. This arises because at a certain scale, nature has to work with whole things/entities, which is to say it is forced to “calculate” with integers simply because there are neither fractals nor reals at hand anymore as neither time nor space are continuous and the smallest things cannot be divided any further. Any mathematical operation forcing nature to “apply” reals or fractals, must be forbidden at small scales. It is clear that any general quantization of any smooth space must include the quantization of this space’s line element. This connects quantum theory with Fermat’s last theorem, because the line element has to be evaluated out of the space’s metric, directly leading to squared expressions.