Goldbach's Conjecture: A Structural Foundation Proof via Mirror Symmetry
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2026
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| author | Brown, Nicolas Antony |
| author_facet | Brown, Nicolas Antony |
| contents | <div> <div>This paper establishes a structural and architectural proof for <strong>Goldbach’s Conjecture</strong>, demonstrating that the decomposition of every even integer into two primes is a <strong>logical necessity</strong> of number space. By defining the integer <strong>2</strong> as the unique <strong>"Hinge"</strong> between additive and multiplicative structures, we identify a <strong>Variable-Free Mirror Symmetry</strong> that reflects infinitely without degradation. This work reframes the 284-year-old challenge not as a theorem requiring calculation, but as an <strong>Architectural Inevitability</strong> inherent in the discrete definitions of "Prime" and "Even" integers. This paper serves as a critical companion to the author's work on <strong>Computational Complexity</strong> (DOI: 10.5281/ZENODO.19339897) and <strong>Speculative Persistence</strong> (DOI: 10.5281/ZENODO.19340729), providing a "First Principles" foundation for the discrete state-transition logic that governs both number theory and informational physics.</div> </div> <div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19342283 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Goldbach's Conjecture: A Structural Foundation Proof via Mirror Symmetry Brown, Nicolas Antony Goldbach's Conjecture Mirror Symmetry First Principles Architectural Logic Discrete Mathematics <div> <div>This paper establishes a structural and architectural proof for <strong>Goldbach’s Conjecture</strong>, demonstrating that the decomposition of every even integer into two primes is a <strong>logical necessity</strong> of number space. By defining the integer <strong>2</strong> as the unique <strong>"Hinge"</strong> between additive and multiplicative structures, we identify a <strong>Variable-Free Mirror Symmetry</strong> that reflects infinitely without degradation. This work reframes the 284-year-old challenge not as a theorem requiring calculation, but as an <strong>Architectural Inevitability</strong> inherent in the discrete definitions of "Prime" and "Even" integers. This paper serves as a critical companion to the author's work on <strong>Computational Complexity</strong> (DOI: 10.5281/ZENODO.19339897) and <strong>Speculative Persistence</strong> (DOI: 10.5281/ZENODO.19340729), providing a "First Principles" foundation for the discrete state-transition logic that governs both number theory and informational physics.</div> </div> <div> </div> |
| title | Goldbach's Conjecture: A Structural Foundation Proof via Mirror Symmetry |
| topic | Goldbach's Conjecture Mirror Symmetry First Principles Architectural Logic Discrete Mathematics |
| url | https://doi.org/10.5281/zenodo.19342283 |