The discussion focuses on the energy values of up and down quarks in Joules, which are not straightforward to determine due to their confinement within protons and neutrons. The average mass-energy values for the up quark and down quark are approximately 2.01 MeV and 4.79 MeV, respectively, which convert to about 3.36 x 10^-13 Joules and 7.67 x 10^-13 Joules. Participants note that these values are estimates, as quarks cannot exist as isolated particles, making direct measurement impossible. Instead, indirect methods, such as using Penning traps or analyzing decay products, are employed to infer their masses. Overall, the conversation highlights the complexities involved in quantifying quark energies and masses.