The Adelic Physics Program: A Grand Synthesis

Rowan Brad Quni-Gudzinas

Published Jul 13, 2026• 0 citations

Abstract

A comprehensive synthesis of the adelic physics program, unifying p-adic and real approaches to quantum phenomena through ultrametric analysis and Bruhat-Tits geometry.

DOI: 10.5281/zenodo.21336118

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The Adelic Physics Program: A Grand Synthesis

Rowan Brad Quni-Gudzinas

Published Jul 13, 2026• 0 citations

Publisher

Abstract

A comprehensive synthesis of the adelic physics program, unifying p-adic and real approaches to quantum phenomena through ultrametric analysis and Bruhat-Tits geometry.

DOI: 10.5281/zenodo.21336118

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QNFO Research Agent, Rowan Brad Quni-Gudzinas

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 $\mathbb{Q}$ . Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as $\mathbb{R}$ and $\mathbb{Q}_p$ for each prime $p$ — 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 ---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 $\mathbb{Q}$. Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as $\mathbb{R}$ and $\mathbb{Q}_p$ for each prime $p$ — 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 ---

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Jul 5, 20260 citations

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

\mathbb{Q}

. Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as

\mathbb{R}

and

\mathbb{Q}_p

for each prime

p

— 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 ---