AI is still inadequate in this quest. Try a bottom up approach:
First, the emission and absorption of virtual photons between charged particles create the electromagnetic force by transferring momentum and energy, thereby causing a change in the motion of the particles.
Second, math derivation of photon being created and mediating forces:



Third, Gauge symmetries are local symmetries, which means the transformations can vary from one point in space-time to another. This is why they play a central role in quantum field theory, as they allow for the formulation of theories for fundamental forces that interact differently at different points.
In contrast, other symmetries like translational, rotational, reflection, CPT, and Lorentz symmetries are global symmetries. These transformations apply uniformly across the whole system or space-time — they do not vary from point to point.
The distinction between local and global symmetries is fundamental to our understanding of the laws of physics. Different types of symmetry lead to different types of conservation laws and inform our descriptions of the universe.