Non-unique time and market incompleteness
Why financial markets don't tick to a single global clock
Financial markets don't operate on synchronized time the way traditional models assume. Instead, trading happens in random bursts tied to actual events—a buy order here, a sell order there—creating multiple valid ways to describe market time. This reveals a deeper kind of market incompleteness than economists usually discuss: the gap between the real time traders operate in and the theoretical time pricing models use.
Traders and risk managers currently juggle two different clocks—one for actual trades and one for theoretical pricing—and this mismatch can hide real risks, especially during fast trading or market stress. Recognizing that market time is fundamentally non-unique doesn't break existing tools, but it explains why they sometimes fail at high frequencies and suggests when simpler, lower-frequency models might be more reliable for managing money and hedging positions.