There is a hard and fast rule growing plants from seed, small starts. Never plant plants or seed in a pot with too much soil. Growing baby plants in pots is very different than growing from seed in the body of soil in your garden.
I never grow seeds unless I have 1" diameter by 2" deep start cells and sterilized potting soil. Within a few weeks under grow lights, ventilation, no fertilizer, using only a spray bottle to dampen the soil hosting the seed...keeping that soil moist not wet, you will see roots coming out of the little pot. Then those starts need to be transplanted into 3" pots. Then a little balanced fertilizer is necessary. Water more deeply but allow to dry out a bit before more water.
The soil in a start cell as well as the soil in the next up potting should be FIRMED, gently but firmly firmed. One seed per cell. Wait until you see what happens with the first up potting! No fertilizer until the first up potting or 2nd 3rd set of leaves.
2 seeds in a 4 inch pot is far from ideal but should have produced two plants. Which is okay. The widest part of the seed times 3 is the depth for that seed.
Pepper plants should germinate and show their cotyledons within a week maybe a few days more but otherwise, the seeds probably damped off (rotted).
Most people water the soil and seed way too much.