# Proposal for a P-Adic Mathematics Doctoral Thesis

A primary focus of *Digital Mind Math* is to significantly broaden the potential audience for how Dr. Matti Pitkänen’s theory of modern physics—Topological Geometrodynamics, or TGD—offers a promising model for the mind and how we think.

This is challenging generally because TGD is a complex and sophisticated theory of quantum physics and general relativity. And is challenging more specifically because of the role that p-adic mathematics plays.

Although, in Digital Mind Math, p-adic mathematics is our first mathematics, our most basic mathematics, it is not taught in elementary school or high school mathematics, and is infrequently taught within the undergraduate mathematics curriculum.

Thus *Digital Mind Math* is breaking into new territory by attempting to make p-adic mathematics intuitively appealing to a general audience.

One risk in attempting this, of course, is that the simplifying becomes oversimplifying, perhaps to the point of being inaccurate.

I think we can all sympathize with the great experts in any field who do not appreciate amateur attempts at oversimplifying their fields. However, it can be argued that any topic, no matter how complicated and advanced, has a topic sentence. And that topic sentence can be broken down into a handful of next-level-down points, and so on. It is not easy to identify and state these simplified essences of p-adic mathematics, but that is what *Digital Mind Math* has attempted to do, both because of a commitment to broaden the audience, and a commitment to the concept that p-adic mathematics is at its heart a simple, intuitive mathematics and the mathematics of how we think, the mathematics of cognition and the mind, our first and most natural mathematics.

Listed below are a set of issues that would benefit from scrutiny and analysis by an expert on advanced concepts of p-adic mathematics. The kind of expert that is needed is one with a commitment to not look to quickly say, “No. That’s wrong.” Rather, the useful expert would be one with a commitment, where correction or refinement is needed, to do so by preserving the point made as intact as possible, and by offering the most minimal correction possible that changes the point to one that is strictly accurate from the point of view of advanced p-adic analysis, at the same time that the point remains as accessible as possible to a general audience.

This set of mathematically technical issues is Part One in the outline below for a proposed Ph.D. thesis. Part Two of the thesis is the practical implementation of the Digital Mind Math model.