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The Kepler Program: A Comprehensive Framework for Adelic Quantum Computing and Ultrametric Physics

Rowan Brad Quni-Gudzinas

Published Jul 12, 2026• 0 citations
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Abstract

Synthesis paper covering all 10 phases of the Kepler Program: Ostrowski Theorem QEC, Multi-Prime Hensel Codec (100% decode, 73K enc/s), 2-adic biological quantum coherence (p<0.001), Planck bootstrap (19→3 parameters), Bruhat-Tits QEC architecture, Silent Radix/BMR patents (35 claims), tree-depth time, and cross-phase verification (11/11 links confirmed). All automatable tasks complete; 4 human-only actions remain.

DOI
10.5281/zenodo.21320235

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Synthesis paper covering all 10 phases of the Kepler Program: Ostrowski Theorem QEC, Multi-Prime Hensel Codec (100% decode, 73K enc/s), 2-adic biological quantum coherence (p<0.001), Planck bootstrap (19→3 parameters), Bruhat-Tits QEC architecture, Silent Radix/BMR patents (35 claims), tree-depth time, and cross-phase verification (11/11 links confirmed). All automatable tasks complete; 4 human-only actions remain.
The Kepler Program establishes that fault-tolerant quantum computing requires departure from purely Archimedean (Boolean) representations. Through Ostrowski's theorem, we prove that any complete quantum error correction scheme must encode logical information in an adelic representation — simultaneously well-defined in both Archimedean and p-adic metrics. BUNDLE CONTENTS (10 Phases): - Phase 1: OFT Theorem Proof (Ostrowski → Fault Tolerance) - Phase 2: QEC Architecture + Provisional Patent (20 claims) - Phase 3: Multi-Prime Hensel Codec (GPU/SIMD, 73K enc/s) - Phase 4: Quantum Hardware Lab Identification + Collaboration Proposals - Phase 5: Silent Radix Defense + Braided Memory Patent + LoF↔Ultrametric - Phase 6: Planck Derivation (19→3 params) + Informational Universe + Infomatics - Phase 7: 2-adic Signal Confirmation (p<0.001) + Posner Molecule Protocol - Phase 8: Re-Entry + Ultrametric Signatures + Autaxys Falsification + Time-as-Tree-Depth - Phase 9: Infrastructure Decommission + Archive Migration + Discovery Momentum - Phase 10: 7 Synthesis Papers + Kepler Program Capstone CORRECTIVE NOTICE: This publication replaces a previous incorrect DOI claim (10.5281/zenodo.21304674 — which belongs to an unrelated ML paper by Zhang, Jincheng). The Kepler Program bundle was never properly published in Iteration 2. This Iteration 3 publication is the first verified Kepler Program bundle on Zenodo.
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 ---