THE SILENT RADIX: Positional Notation as Ultrametric Tree and the Calculus of Indications as Remedy
ultrametric radix positional notation Bruhat-Tits building p-adic geometry Page-Wootters Wheeler-DeWitt quantum gravity
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Abstract
Positional notation is not merely a convention for writing numbers - it is an ultrametric tree whose place-value columns encode a hierarchical distance function. The base (radix) is the structural parameter that determines the tree topology, yet in everyday practice it goes unstated and unexamined: a silent radix.
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