Exclusion Interaction

Abstract

This work presents a novel theoretical framework treating Pauli-driven atomic repulsion as an independent fundamental interaction, distinct from electromagnetism. We demonstrate that the Pauli exclusion principle generates a short-range, spin-dependent repulsive force mediated by exchange fermions—virtual particles representing fermionic pair exchange. The theory is formulated through four basic equations governing spin-selection rules, exchange field generation, and resulting repulsive forces. We derive the force law F(r) = A·exp(-r/a) from first principles, where the exponential form emerges naturally from electron cloud overlap and wave function antisymmetry. Parameters a (decay scale) and A (interaction strength) are determined from atomic structure and experimental data. Verification is provided for hydrogen and helium atoms, showing the theory correctly predicts repulsion strength and distance-dependence in short-range regimes (r ≲ 1 Å). The framework explains why classical electromagnetism alone cannot describe atomic stability and provides a microscopic foundation for many-body phenomena in condensed matter. This formulation bridges quantum statistics and atomic/molecular physics, offering a unified description of fermionic repulsion as a fundamental force comparable to electromagnetism in scope and importance.