Anthony John Kerr

The Kerr-Riemann Equations: A Continuous 4D Phase-Space Framework for Modeling Asymmetric Strain in the Critical Strip

While classical analytic number theory frequently relies on static asymptotic bounds to evaluate the critical strip of the Riemann zeta function $\zeta(s)$, navigating the chaotic interference of off-axis trajectories remains computationally and analytically opaque. In this paper...

A 3-Dimensional Geometric Phase Space and Topological Framework for the Asymptotic Density and Strict Confinement of Riemann Zeros

In this paper we construct a foundational 3-dimensional geometric manifold and topological framework for strictly bounding the non-trivial zeros of the Riemann zeta function, ζ(s), exclusively to the critical line Re(s) = 1/2. By locking the fundamental structural tension to the...

Five Axioms of the Riemann Zeta Function

The Riemann Hypothesis posits that all non-trivial zeros of the Riemann zeta function $\zeta(s)$ lie on the critical line $\sigma = 1/2$. Traditional analytic approaches have struggled to systematically rule out extreme-altitude edge cases, such as asymptotic collapse, radial exp...

A 3-Dimensional Geometric Phase Space and Topological Framework for the Asymptotic Density and Strict Confinement of Riemann Zeros

In this paper we construct a foundational 3-dimensional geometric manifold and topological framework for strictly bounding the non-trivial zeros of the Riemann zeta function, ζ(s), exclusively to the critical line Re(s) = 1/2. By locking the fundamental structural tension to the...