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Zitterbewegung: From Archimedean Puzzle to Adelic Observable

Rowan Brad Quni-Gudzinas

Published Jul 26, 2026• 0 citations
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Abstract

We prove that the truncated representation ring of SU(2) is isomorphic to the character ring of Z2^x at matching levels (Silent Parameter Principle). The 2-adic ZBW frequency is computed as sqrt(2) x 2mc^2/hbar, a 41.4% deviation from the Archimedean value. The ZBW oscillation is identified as the physical clock bridging both completions. Yang-Feldman equation is recast on Bruhat-Tits tree. p-adic Foldy-Wouthuysen transformation constructed. Single-ion trapped-ion experimental timeline: 2028-2032.

DOI
10.5281/zenodo.21600627

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We prove that the truncated representation ring of SU(2) is isomorphic to the character ring of Z2^x at matching levels (Silent Parameter Principle). The 2-adic ZBW frequency is computed as sqrt(2) x 2mc^2/hbar, a 41.4% deviation from the Archimedean value. The ZBW oscillation is identified as the physical clock bridging both completions. Yang-Feldman equation is recast on Bruhat-Tits tree. p-adic Foldy-Wouthuysen transformation constructed. Single-ion trapped-ion experimental timeline: 2028-2032.
Six papers, one thesis: **Physics is adelic.** The Archimedean (real-number) description is the ∞\infty∞-place readout of a richer ultrametric structure defined over the p-adic completions of Q\mathbb{Q}Q. Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as R\mathbb{R}R and Qp\mathbb{Q}_pQp​ for each prime ppp — is the hidden organizing principle behind quantum measurement, quantum error correction, and the structure of spacetime at the Compton scale. We present the unified framework: Zitterbewegung (ZBW) is the physical manifestation of the p-adic channel of the adelic Dirac equation; Majorana zero modes are Bruhat-Tits fixed points encoding adelic topological charge; and adelic quantum error correction replaces active QEC codes with number-theoretic protection. This synthesis paper connects all six companion publications into a coherent research program with specific, falsifiable predictions. **Keywords:** Adelic physics, Ostrowski's theorem, Zitterbewegung, Bruhat-Tits tree, p-adic quantum mechanics, topological quantum computing, grand synthesis ---