P-adic quantum mechanics is an approach to quantum mechanics that is based on p-adic numbers instead of the usual real or complex numbers. P-adic numbers are a system of numbers used in number theory, defined with respect to a prime number \( p \). Unlike real and complex numbers, which extend indefinitely in both directions, p-adic numbers allow for expansions that are focused around a prime base, leading to a different structure that can have unique properties.
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