THE SILENT RADIX: Positional Notation as Ultrametric Tree and the Calculus of Indications as Remedy
Year: 2026
Type: article
Abstract: A consilient research program demonstrating that positional notation is an ultrametric tree whose radix encodes a chosen grouping cycle; that the systematic errors of silent radices, silent metrics, and assumed linearity arise from substituting a monocultural decimal default and flattening the tree into an Archimedean line; and that re-founding on Spencer-Brown's calculus of indications restores the observer, the ultrametric, and the self-measuring '10' as the seed of all self-aware quantity. v1.1 completes the Consequence Atlas with 142 expansion entries across 14 domains (207 total across 17 domains: healthcare, military, transportation, environmental systems, media & communications, education, history & archaeology, physics, biology & genetics, architecture & engineering). Full text and updates: https://papers.qnfo.org/papers/the-silent-radix/
Authors: QNFO Research, Quni-Gudzinas, Rowan Brad
Institution: Oldham Council
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166690787
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