- How do physics equations change under inversion of individual parameters?
It is obvious that there is a one-to-one relationship between real numbers (defined to include infinity) and their multiplicative inverses (assuming we map the inverse of zero to infinity and vice versa). Thus, one should be able to replace the distance between two points in space with it's inverse and still find reasonable results for some type of mathematical manipulation. Has there been any extensive work in theoretical physics that extends this concept and determines its limits? In other words, if time, space, mass, charge magnitude, and all other physical parameters were replaced by their inverses...how would the equations of physics change? If this has been done, can someone please tell me the name of the field? Thanks.