Riemann Hypothesis
p. 131-140
Résumé
A novel approach to a proof of the Riemann Hypothesis (that all the zeros of the Zeta function lie on the line x = 1/2) is presented. It is based on the universal nilpotent computational rewrite system (NUCRS), derived in the World Scientific book Zero to lnfinity, from a single nilpotent Dirac operator (Rowlands, 2007), establishing an entirely novel semantic computational foundation simultaneously for both mathematics and quantum physics. Tangible evidence is that the Zeta function is known to represent a quantum system and that the criterion of nilpotence corresponds to (a) Pauli exclusion with unique fermion states spin 1/2 and (b) an infinite rewrite alphabet that also corresponds to the infinite roots of -1, of which the nilpotent generalization of Dirac' s famous quantum mechanical equation is the universal computational order code.
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Référence papier
Bernard M. Diaz, Peter Marcer et Peter Rowlands, « Riemann Hypothesis », CASYS, 22 | 2008, 131-140.
Référence électronique
Bernard M. Diaz, Peter Marcer et Peter Rowlands, « Riemann Hypothesis », CASYS [En ligne], 22 | 2008, mis en ligne le 19 September 2024, consulté le 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=3444
Auteurs
Bernard M. Diaz
Department of Computer Science, University of Liverpool Ashton Street, Liverpool, L69 7ZF, UK
Peter Marcer
55 rue Jean Jaures, 83600 Frejus, Var, France
Peter Rowlands
Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE, UK