Toward a Unified Multidisciplinary Model of Reality

Over the last several centuries, science has discovered objects in the world along a continuum of scale. In one direction, we have discovered planets and stars, galaxies, and galaxy clusters. In the other direction, we have found cells and proteins, atoms and neutrinos. To locate and model this world, we use the 3 traditional directions of length, width, and height. However, inherent in all our measurements is the scale of what we are measuring – a continuum we do not directly see with our eyes. The author presents the hypothesis that we need to include this continuum in a full model of nature and our world. This hypothesis presents the need to measure distance across a 4-D space with an exponential scale dimension. To account for this concern, the author presents the mathematical conjecture that new mathematical tools are required, such as a new numeric representational system with more power than our traditional decimal or positional-based numerals that could measure across scale. Such a system could provide a single value for complex numbers and make possible measurements currently invisible to science today. These would be directions that could significantly expand both science and mathematics, connecting all levels of scale.