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a gap engineered to swallow whatever you feed it, time or coins included

means A narrow opening or designated space into which something fitswhether a coin into a machine, an appointment into a schedule, or a card into a reader.

from From Middle English 'slot,' meaning a hollow or depression, especially the one at the base of the throatlikely from Old French 'esclot.' The 'narrow opening for coins' sense is a much later, industrial development, and the 'allotted time or position' sense (a slot in the schedule) came later still, by metaphor. The gambling 'slot machine' lent the word its hungry reputation in the modern era.

machine mathslot machines pay out around 85-98% over time
old namecalled one-armed bandits for the side lever
airport slotstakeoff slots trade for millions between airlines
near missmachines fake near-wins to keep you spinning
word originfrom Old French esclot, meaning hollow
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