Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Sprache: | |
| Veröffentlicht: |
Zenodo
2025
|
| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.5281/zenodo.17849665 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Inhaltsangabe:
- <p>Andrew Wiles' 1995 proof of Fermat's Last Theorem, while celebrated as one of mathematics' greatest achievements, operates entirely within the real-complex analytic framework (ℝ/ℂ)—a structure we have previously demonstrated to be algebraically incomplete due to dimensional collapse in the Cantor-Dedekind construction of 1872.</p> <p>This paper demonstrates that Wiles' proof, far from establishing FLT in fundamental algebraic reality, merely demonstrates a contradiction within the projected shadow-world of ℝ/ℂ. His essential reliance on modular forms as holomorphic functions on ℂ, elliptic curves embedded in ℂ, p-adic completions, and topological methods all inherit the fundamental incompleteness of ℝ.</p> <p>We show that:<br>(1) The Frey curve construction assumes solutions live in ℚ when they require extensions W/ℚ<br>(2) Modularity is an analytic artifact of working in ℂ, not an algebraic necessity <br>(3) A direct 10-page proof in the Rational Worlds framework renders Wiles' 150-page argument obsolete<br>(4) Wiles proved "no contradiction exists in ℝ/ℂ projection," not "FLT is true in algebraic reality"</p> <p>If the ontological framework is incorrect, the proof is false—regardless of technical correctness within that framework. This is analogous to Ptolemaic astronomy: mathematically consistent but ontologically wrong.</p> <p>The paper includes:<br>- Rigorous demonstration that Wiles' proof depends essentially on ℝ/ℂ<br>- Analysis of how dimensional collapse invalidates his argument<br>- Complete 10-page algebraic proof of FLT via Rational Worlds<br>- Comparison: Wiles (150 pages, ℝ/ℂ) vs. Rational Worlds (10 pages, W/ℚ)</p> <p>This work builds on our previous demonstration that ℝ is not a "completion" of ℚ but rather a dimensional collapse that destroys algebraic structure (Zenodo, 2025).</p> <p>Supplementary materials:<br>- "The Algebraic Incompleteness of the Real Numbers: Why Cantor and Dedekind Were Wrong" (Zenodo DOI: [previous paper])<br>- "Fermat's Last Theorem via Dimensional Collapse: The Rectangles Proof" (10-page algebraic proof)</p> <p>Mathematical community challenge: Refute our demonstration of ℝ's incompleteness in one page, or accept its consequences for Wiles' proof. There is no third option.</p>