Riemann Hypothesis and Quantum Mechanics

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SUMMARY

The discussion centers on the connection between the Riemann Hypothesis and Quantum Mechanics, specifically referencing Alain Connes' 1995 work on Non-Commutative Geometry. Participants highlight a paper available on arXiv (http://arxiv.org/pdf/1012.4665v1) that explores this relationship. The conversation indicates a growing interest in the implications of the Zeta function within the framework of Non-Commutative Geometry, although further exploration of this connection is suggested.

PREREQUISITES
  • Understanding of the Riemann Hypothesis
  • Familiarity with Quantum Mechanics
  • Knowledge of Non-Commutative Geometry
  • Basic comprehension of the Zeta function
NEXT STEPS
  • Read Alain Connes' 1995 work on Non-Commutative Geometry
  • Explore the implications of the Zeta function in Quantum Mechanics
  • Investigate the arXiv paper (http://arxiv.org/pdf/1012.4665v1) for detailed insights
  • Study the relationship between Non-Commutative Geometry and the Riemann Hypothesis
USEFUL FOR

Mathematicians, physicists, and researchers interested in the intersection of number theory and quantum physics, particularly those exploring advanced concepts in Non-Commutative Geometry.

marcus
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Maybe someone will find something interesting in this paper. They have a reference to some 1995 work by Alain Connes. I didn't have time to look into this very much. Maybe it's amusing and maybe not:
http://arxiv.org/pdf/1012.4665v1
 
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marcus said:
Maybe someone will find something interesting in this paper. They have a reference to some 1995 work by Alain Connes. I didn't have time to look into this very much. Maybe it's amusing and maybe not:
http://arxiv.org/pdf/1012.4665v1

Hey marcus thanks for the link.

About a year ago I bought a book on Non-Commutative Geometry which had some of its writings done by Connes himself, and there was talk about the link between the Zeta function and non-commutative geometry but I didn't explore the relationship any further, but yeah its pretty interesting that there's even a connection at all to be honest.
 

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