Abstract

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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References

Bibliographical reference

Bernard M. Diaz, Peter Marcer and Peter Rowlands, « Riemann Hypothesis », CASYS, 22 | 2008, 131-140.

Electronic reference

Bernard M. Diaz, Peter Marcer and Peter Rowlands, « Riemann Hypothesis », CASYS [Online], 22 | 2008, Online since 19 September 2024, connection on 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=3444

Authors

Bernard M. Diaz

Department of Computer Science, University of Liverpool Ashton Street, Liverpool, L69 7ZF, UK

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Peter Marcer

55 rue Jean Jaures, 83600 Frejus, Var, France

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Peter Rowlands

Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE, UK

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Copyright

CC BY-SA 4.0 Deed