August Tudor

On the Geometry of Fractal Prime Structures: Adèlic Spectral Regularization, Multi-Scale Coercivity, and Physical Manifestations

We construct an operator-theoretic framework demonstrating that the distribution of prime-gap fluctuations and scale-invariant geometric networks can be analyzed as dual manifestations of an underlying adèlic spectral geometry. By formulating dilation flows over the adèle class space \mathbb{X} = \mathbb{A}_{\mathbb{Q}...