13 papers
A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function
Netzer Moriya
We introduce a Gaussian--Perron prime-force defect that compares a smoothed prime-side logarithmic force with the logarithmic derivative of the Riemann zeta function. The construct…
Photonic Chirality for Braiding and Readout of Non-Abelian Anyons
Netzer Moriya
We propose a cavity-based scheme that uses photonic chirality to control braiding and read out non-Abelian anyons in a fractional quantum Hall platform. Counter-propagating cavity…
Normalized Ensemble-Averaged OAM Spectrum in Disordered Statistical Q-Plates
Netzer Moriya
This work presents an exact, analytical derivation of the ensemble-averaged orbital angular momentum (OAM) power spectrum for a circularly polarized Gaussian beam traversing a stat…
Quantized Orbital Angular Momentum from Discrete Chaotic Phase Surfaces
Netzer Moriya
We present a new theory for orbital angular momentum (OAM) generation by chaotic phase surfaces with discrete integer bias distributions. We derive fundamental selection rules that…
A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces
Netzer Moriya
We present a comprehensive theoretical framework that unifies chaotic wavefront dynamics with classical aberration theory through a Statistical Wavefront Reconstruction Framework (…
Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
Netzer Moriya
We establish a unified theoretical framework that connects classical orthogonal polynomial systems to matrix Lyapunov equations through the fundamental physics of energy dissipatio…