Rory O'Connor 🇨🇦

Proofs

A Combinatorial Framework for the Riemann Hypothesis via Factorisatio Numerorum and Bell Fiber Strata
An Analytic Obstruction to Collatz Cycles
via Inverse Bell-Weighted Dirichlet Series
and Factorisatio Numerorum
On the Recursive Enumerability of the
Basin of Attraction of Infinite Highways
in Langton’s Ant
An Adelic Translation of the Lagarias Equivalence: Bounding the Hecke Trace via Noncommutative Geometry
Container State Algebra: A Unified Operational Framework for Dynamic Meyric Manifolds and Polymorphic Type Containers
Container State Algebra and the Resolution of Gravitational Collapse: Decoupling Mass and Space in Black Hole Interiors
Container Sieve Hierarchies, Colossally
Abundant Numbers, and Spectral
Filtering for the Riemann Hypothesis
Power Prime Container States and Their Inevitability in Potential Counterexamples to Robin’s Inequality
An Intuitive Toy Model for Dirichlet Convergence via Factorisatio Numerorum
On a Tripartite Relationship Connecting Prime Factor Counts, Bell Numbers, and Möbius Parity