A Unified Framework for Thermal-Electromagnetic Interactions

This work introduces a theoretical framework unifying thermal and electromagnetic phenomena.
We define thermal charges and propose modified Maxwell equations for thermal fields,
establishing a mathematical analogy between heat-induced forces and classical electromagnetic interactions.
The framework incorporates the concept of thermal Coulomb forces, allows coupling between thermal and electromagnetic fields,
and provides a coherent description of energy density, Poynting flux, and wave propagation in coupled systems.
Applications include thermoelectric devices, plasma physics, nanoscale electronics, and photonics.
This unified approach offers both theoretical insights and practical guidance for controlling energy transport in systems where temperature gradients and electromagnetic fields interact.