TL;DR
This paper explores the geometric nature of chaos across different dimensions, linking singularities and chaos types, and intriguingly suggests prime numbers exhibit quantum-like behavior.
Contribution
It introduces a novel geometric framework for understanding chaos in various dimensions and connects prime number behavior to quantum phenomena.
Findings
Chaos in dimension n+1 is a one-dimensional object embedded in an n-dimensional space.
Chaos occurs at singularities, either isolated or non-isolated, with specific types identified.
Prime numbers display quantum behavior, suggesting a link between number theory and quantum physics.
Abstract
Our main result is that chaos in dimension is a one-dimensional geometrical object embedded in a geometrical object of dimension which corresponds to a dimensional object which is either singular or non-singular. Our main result is then that this chaos occurs in the first case as either on an isolated or non-isolated singularity. In the first case this chaos is either boundary chaos or spherical chaos which is what happens also in the non-singular case. In the case of an isolated singular geometry one has chaos which can either be boundary, spherical or tubular chaos. We furthermore prove that the prime numbers display quantum behaviour.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.