Rewrite Science - The Universal Semantic Calculus and Grammatical Cosmos
Symposium 10A - CASYS 07

Riemann Hypothesis

Bernard M. Diaz¹, Peter Marcer², Peter Rowlands^3
1 Department of Computer Science, The University of Liverpool, Peach Street, Liverpool, UK, L69 7ZF. b.m.diaz@liv.ac.uk
² 55 rue Jean Jaures, 83600 Frejus, Var, France peter.marcer@orange.fr
³ Science Communication Unit, Department of Physics P.Rowlands@liverpool.ac.uk

Keywords: the Riemann Hypothesis, the infinite roots of – 1, quantum mechanics, the nilpotent computational rewrite system, the nilpotent Dirac operator

Abstract

Evidence is presented that the Riemann Hypothesis, which concerns the zeros of the algebraic Zeta function, follows as a corollary to the proof previously given by Rowlands and Diaz at CASYS 05 that there are an infinite number of roots of -1 and these algebraically realise the infinite alphabet of the universal nilpotent computational rewrite system (NUCRS) where the generalized nilpotent (algebraic) Dirac operator encapsulates the universal computational order code defining nilpotent quantum mechanics.