[personal profile] ionelv
Today, I read one of the funniest abstracts in a long time and given the smirky face of the author’s thumbnail, I do believe he wrote it in jest:
In this paper I present a possible proof of the Riemann Hypothesis. The proof was inspired by a unifying societal philosophy: Recursive Perspectivism. Recursive Perspectivism, the proof itself as well as their relations are described in the book "The path of humanity: societal innovation for the world of tomorrow" (in press, 2018; I will refer to it as "the book"), and the presentation "Dicey proofs of the Riemann hypothesis" (December 31, 2017; I will refer to it as "the presentation"). The book is not about number theory. The book is about human development, societal innovation and sustainability, and it is founded on a Recursive Perspectivism which in turn gives rise to a recursive multi-actor interpretation of societal practice. During the writing of "The path of humanity" I slowly came to understand the deep ways in which The path of humanity, Bernoulli experiments and the Riemann hypothesis rest on common grounds. Not only do they rest on prime numbers, but furthermore the way in which they develop rests on similar principles. In order to understand these principles better, hesitantly (as I slowly came to understand the imposing reputation of the Riemann hypothesis) I entered the number theoretical realm from the vantage point of Recursive Perspectivism. The difficulty of understanding whole numbers is in their combined nature: structurally they are multiplications of prime numbers, and numerically they are ordered along the number line. Understanding the interplay between these two viewpoints, structure and content, offers a route to understanding and proving the Riemann hypothesis. I emphasize whole numbers while applying a recursive scheme in my proposal for a proof of the Riemann hypothesis, and I use clean, simple, ancient and well established mathematics in doing so. This would make my approach both elementary and recursive. I use entropic and annihilative arguments from physics. Mathematically I build on Pascal's triangle, Newton's binomial or combinatorial formula, Gauss' normal distribution, Bernoulli experiments and the Mertens function. Be on guard when reading the paper: I am neither a mathematician nor a physicist. I do not claim a high or even a moderate level of proficiency in these fields. I therefore am prone to make errors, and to cut some corners. But even if these warnings would prove to be in due place, the following still would hold true. Pascal, Newton, Gauss, Bernoulli and Mertens offer an imposing foundation for Recursive Perspectivism and the discrete inversely proportional relationship that explains the many pattern laws we experience in "our environment". The relations between the Riemann hypothesis, Recursive Perspectivism and societal innovation are important: for our further human development; for a sustainable, a better future. This is the reason why I entered number theory. Therefore I ask you to carefully read this paper, the presentation and the book. Thank you for your attention. Henk Diepenmaat This paper is based on The path of humanity: societal innovation for the world of tomorrow, Parthenon Publishers, Almere, The Netherlands (2018)
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