Experimental Observations on the Uncomputability of the Riemann Hypothesis: Part I

Abstract

This paper seeks to explore whether the Riemann hypothesis falls into a class of putatively unprovable mathematical conjectures, which arise as a result of unpredictable irregularity. It also seeks to provide an experimental basis to discover some of the mathematical enigmas surrounding these conjectures, by providing Matlab and C programs which the reader can use to explore and better understand these systems (see appendix 6 in Part II). Part I of this article includes: Introduction; The Riemann hypothesis and the Zeta Function; and The Quantum Chaos Connection.