Radiant energy was earlier defined as the quantum processing transfer rate. Increasing a photon’s wavelength divides the same process more to reduce the transfer rate, so the radiant energy of light reduces as its wavelength increases.
Kinetic energy as the energy of matter movement seems unrelated to radiant energy but when photons hit a solar sail it moves, so the two energies must relate. The reason is now proposed to be photons that don’t disappear when they hit a solar sail but entangle with the sail matter. The family generations of leptons and quarks show that basic matter has spare channels by the nature of quantum space that photons can occupy. A matter entity can thus acquire more photons.
Added photons that have a direction will bias the quantum field in that direction. When a solar sail acquires directional photons, they bias its processing distribution to give macroscopic movement in their direction over time. When a moving body hits another, the extra photons are passed on so at the quantum level, kinetic energy is based on photons. If kinetic energy arises when matter acquires photons, it has the same basis as radiant energy.
That matter moves by acquiring photons suggests that mass increases as objects move faster, as relativity says, for the same reason that higher lepton and quark generations increase mass, namely interference. The increase isn’t linear because interference doesn’t increase linearly as information networks like the Internet illustrate. As matter goes faster, added photons compete more for the same channels giving the interference that in this model is mass. The mass increase tends to infinity because this is how interference increases with load.
Kinetic energy based on photon acquisition isn’t quantized because a mass of any size can acquire one photon, dividing the change to any degree. The effect of adding a photon is shared so a large mass has more inertia, i.e. “resists” movement more as it requires more photons to make it move. It also follows that to accelerate, a matter body must continually acquire photons.