SERM Technology: Breaking the Density-Emittance Trade-off in Particle Beam Applications from Nuclear Energy to Space Propulsion

We present SERM (Singularity of Enhancement due to Reduced Mileage) - a universal physical principle enabling the breakthrough overcoming of the fundamental density-emittance trade-off in particle beam physics. By creating controlled geometric singularities in particle flows, the SERM effect facilitates unprecedented combinations of ultra-high flux density and minimal emittance. The method utilizes local angular protrusions that generate singularity points where particle mileage is minimized according to the principle of least action. Theoretical analysis using conformal mapping and comprehensive numerical FDTD simulations confirm the effect's physical reality across different particle transport regimes. Numerical validation demonstrates significant current density enhancement (by multiples) depending on proximity to the singularity region while maintaining signal integrity - a key indicator of emittance preservation. The SERM principle opens transformative potential for applications in: safe nuclear energy (subcritical reactors, waste transmutation), space propulsion (high-efficiency thrusters), nuclear medicine (isotope production), and fundamental research (fusion experiments, accelerator injection). The technology is protected under PCT/RU2025/000259.