Literally, "a thousand pardons." A geeky form of apology that is nominally three orders of magnitude better than a simple, "I'm sorry." Kilopology is the most commonly used SI-unitized solicitation of forgiveness; others include "megapology" (offered in matters of sexual infidelity), "gigapology" (offered in matters of accidentally killing a little girl's pet pony), and terapology (offered when destroying worlds). Antonyms: millipology (i.e., not really giving a shit) & picopology (i.e., not even giving a fart).
Dude! I didn't mean to spill your beer. A kilopology and refill are in order.